Answer:
Step-by-step explanation:
divide both sides by 3
3z>6
3z/3>6/3
z>2
PLEASE HELP ! <3 !!!!!!!!!!!!!!!!!!!!!!!
Answer:
7 things an investor should consider when picking stocks:
Trends in earnings growth.
Company strength relative to its peers.
Debt-to-equity ratio in line with industry norms.
Price-earnings ratio as an indicator of valuation.
How the company treats dividends.Effectiveness of executive leadership.
Step-by-step explanation:
A triangle is shown below what is the measure of
Answer:
70 Degrees
Step-by-step explanation:
All triangles add up to 180 degrees so add 44+26=70 180-70= 110 so remaining angle is 110. A straight line is 180 degrees so using the remaining angle of the blue triangle we find that 180-110=70 so B is 70 degrees.
Answer:
\(70\textdegree\)
Step-by-step explanation:
The Exterior Angle Theorem states that in a triangle, the measure of an exterior angle is equal to the sum of its two remote interior angles.
In this case, the exterior angle is ∠\(B\) and the remote interior angles measure \(44\textdegree\) and \(26\textdegree\), so \(m\)∠\(B=44+26=70\textdegree\). Hope this helps!
If a rock is thrown upward on the planet Mars with a velocity of 10 mys, its height in meters t seconds later is given by y=10t-1.86t^2. (a) Find the average velocity over the given time intervals: (i) [1, 2] (ii) [1, 1.5] (iii) [1, 1.1] (iv) [1, 1.01] (v) [1, 1.001] (b) Estimate the instantaneous velocity when t=1.
The average velocity over the given time intervals = (y(1.001) - y(1)) / (1.001 - 1) , (y(2) - y(1)) / (2 - 1) ,(y(1.5) - y(1)) / (1.5 - 1).
To find the average velocity over the given time intervals, we need to calculate the displacement and divide it by the time interval.
(a) Average velocity:(i) [1, 2]:
Displacement = y(2) - y(1)
= (10(2) - 1.86(2)²) - (10(1) - 1.86(1)²)
Average velocity = Displacement / Time interval
= (y(2) - y(1)) / (2 - 1)
(ii) [1, 1.5]:
Displacement = y(1.5) - y(1)
Average velocity = Displacement / Time interval
= (y(1.5) - y(1)) / (1.5 - 1)
(iii) [1, 1.1]:
Displacement = y(1.1) - y(1)
Average velocity = Displacement / Time interval
= (y(1.1) - y(1)) / (1.1 - 1)
(iv) [1, 1.01]:
Displacement = y(1.01) - y(1)
Average velocity = Displacement / Time interval
= (y(1.01) - y(1)) / (1.01 - 1)
(v) [1, 1.001]:
Displacement = y(1.001) - y(1)
Average velocity = Displacement / Time interval
= (y(1.001) - y(1)) / (1.001 - 1)
(b) To estimate the instantaneous velocity when t = 1, we can calculate the derivative of y(t) with respect to t and evaluate it at t = 1. This will give us the instantaneous velocity at that specific time.
Velocity = dy/dt
= d(10t - 1.86t²)/dt
Evaluate this expression at t = 1 to estimate the instantaneous velocity.
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Help me plzzzzzzzzzz
Answer:
I think it's 4/3 as 4 moves right
Which equation represents a line which is perpendicular to the line y=-1/2x -7
Answer:
y-2x=4
Step-by-step explanation:
the slope is 2
the opposite reciprocal is -1/2
2/1 = 2
f(x) = x2 − x − ln(x)
(a) Find the interval on which f is increasing. (Enter your answer using interval notation.)
Find the interval on which f is decreasing. (Enter your answer using interval notation.)
(b) Find the local minimum and maximum value of f.
(c) Find the inflection point.
(a) The interval on which f is increasing: (0, ∞)
The interval on which f is decreasing: (0, 1)
(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.
There is no local maximum value.
(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.
The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.
To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).
To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).
The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.
There is no local maximum in this function since the derivative does not change from positive to negative.
The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.
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possible Given that x and y are functions of time, find the indicated rate of change Find dx dy when y = 3 and dt -= 2, given that x = 9y5 - 2186 dt dx (Round to two decimal places as needed) dt
Indicated rate of change \(dx/dt\) when y = 3 and dt = 2 is 0, which means that x is not changing with respect to time at that point. The result of \(dx/dt\) in this case is 0.
To find the indicated rate of change dx/dt when y = 3 and dt = 2, we need to use the chain rule of differentiation, which says that if z = f(x) and x = g(t), then dz/dt = dz/dx · dx/dt. In our case, x = 9y^5 - 2186 and y and t are given values, so we need to differentiate x with respect to t and then substitute the values of y and t to get dx/dt.
First, we need to use the power rule and the constant multiple rule to differentiate \(x = 9y^5 - 2186\) with respect to y, which gives \(dx/dy = 45y^4.\) Then, we can substitute y = 3 into dx/dy to get dx/dy = 405. Finally, we can substitute dt = 2 into the chain rule formula to get \(dx/dt = dx/dy · dy/dt = 405 · 0 = 0.\)
The reason why dy/dt is 0 is that we are given that dt is a constant, which means that y is not changing with respect to time. Therefore, even though x is a function of y, which is a function of time, its rate of change with respect to time is zero at the given point. This implies that the graph of x vs t is a horizontal line, which has no slope or rate of change.
Indicated rate of change dx/dt when y = 3 and dt = 2 is 0, which means that x is not changing with respect to time at that point. This result highlights the importance of paying attention to the given values and units when solving rate of change problems, and using the appropriate rules and formulas to find the correct answer.
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I’ve been trying to figure this one. How do I solve it please help!
Q = 180 ( 1.474) ^ t
This in in the form
y = a e ^ (kt)
180 is the initial value
a = 180
1.474 ^t = e^k ^ (t)
This means that e^k = 1.474
Taking the ln of each side
ln (e^k) = ln ( 1.474)
k = ln ( 1.474)
b = 1.474 which is the growth factor
b =1+r
1.474 = 1+r
r = .474
If they want r as a percent
r = 47.4 %
A jar at the fishing shop holds 72 worms. A cup holds 8 worms. How many times
as many worms does the jar hold than the cup? Choose the equation that best
represents the problem.
72 : 8 = 1
72 +8=
72 x 8 = 1
72-8=t
Answer:
9 times as many, the answer would be number 4
Step-by-step explanation:
Because when you subtract 8 from 72 you get 64 meaning the jar holds 64 more worms than the cup.
Answer:
the best is equations is 72:8=1
Step-by-step explanation:
A circular plate has circumferrence 30.8 inches. What is the area of this plate ? Use 3.14 for π.
Answer:
75.39 in^2
Step-by-step explanation:
circumference=2πr
30.8=2(3.14)r
30.8=6.28r
4.9=r
Now that we know the radius, we can plug it in for the area equation
area=πr^2
area=(3.14)(4.9)^2
area=(3.14)(24.01)
area=75.39 in^2
Louis used a quadratic equation to model the height, y, of a falling object x seconds after it is dropped. which ordered pair generated by this model should be discarded because the values are unreasonable?
The Correct answer is A. (-4,1) ordered pair generated by this model should be discarded because the values are unreasonable.
In algebra, a quadratic equation (from Latin quadratus 'rectangular') is any equation that can be rearranged in well-known form as ax²+bx+c=0 Where x represents an unknown value, and a, b, and c constitute recognized numbers.
One supposes usually that a ≠ zero; the one's equations with a = zero are taken into consideration degenerate because the equation then will become linear or even simpler. The numbers a, b, and c are the coefficients of the equation and can be prominent with the aid of calling them, respectively, the quadratic coefficient, the linear coefficient, and the consistent or loose time period.
The values of x that satisfy the equation are referred to as answers to the equation, and roots or zeros of the expression on its left-hand aspect. A quadratic equation has at most two answers. If there is handiest one solution, one says that it's miles a double root. If all the coefficients are real numbers, there are both actual solutions, a single actual double root, or two complicated answers which can be complicated conjugates of each other.
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Complete Question:
Louis used a quadratic equation to model the height, y, of a falling object x seconds after it is dropped. which ordered pair generated by this model should be discarded because the values are unreasonable?
Assume we have 3 boxes which contain red and black balls as follows, Box 1; 3 red balls and 7 black balls, Box 2; 6 red balls and 4 black balls, Box 3; 8 red balls and 2 black balls. suppose we draw a ball from box 1; if it is red, we draw a ball from box 2. if the ball drawn from box 1 is black, we draw a ball from box 3. a. what is the probability of red ball from box 1?. b. suppose we draw a ball from box 1 and it is red; what is the probability of another red ball when we draw from box 2 on the second round? c. suppose our first draw from box 1 was black; what is the conditional probability of our second draw from box 3 this time being red? d. Before we draw any ball; what is the probability of drawing two red balls at both draws? e. Before we draw any ball; what is the probability of drawing a red ball at first draw and a black ball at second draw?
a. The probability of drawing a red ball from Box 1 is 30%.
b. If a red ball is drawn from Box 1, the probability of drawing another red ball from Box 2 on the second round is 60%.
c. If the first draw from Box 1 was black, the conditional probability of drawing a red ball from Box 3 on the second draw is 80%.
d. The probability of drawing two red balls at both draws, without any prior information, is 46%.
e. The probability of drawing a red ball at the first draw and a black ball at the second draw, without any prior information, is 21%.
a. The probability of drawing a red ball from Box 1 can be calculated by dividing the number of red balls in Box 1 by the total number of balls in Box 1. Therefore, the probability is 3/(3+7) = 3/10 = 0.3 or 30%.
b. Since a red ball was drawn from Box 1, we only consider the balls in Box 2. The probability of drawing a red ball from Box 2 is 6/(6+4) = 6/10 = 0.6 or 60%. Therefore, the probability of drawing another red ball when the first ball drawn from Box 1 is red is 60%.
c. If the first draw from Box 1 was black, we only consider the balls in Box 3. The probability of drawing a red ball from Box 3 is 8/(8+2) = 8/10 = 0.8 or 80%. Therefore, the conditional probability of drawing a red ball from Box 3 when the first ball drawn from Box 1 was black is 80%.
d. Before any draws, the probability of drawing two red balls at both draws can be calculated by multiplying the probabilities of drawing a red ball from Box 1 and a red ball from Box 2. Therefore, the probability is 0.3 * 0.6 = 0.18 or 18%. However, since there are two possible scenarios (drawing red balls from Box 1 and Box 2, or drawing red balls from Box 2 and Box 1), we double the probability to obtain 36%. Adding the individual probabilities of each scenario gives a total probability of 36% + 10% = 46%.
e. Before any draws, the probability of drawing a red ball at the first draw and a black ball at the second draw can be calculated by multiplying the probability of drawing a red ball from Box 1 and the probability of drawing a black ball from Box 2 or Box 3. The probability of drawing a red ball from Box 1 is 0.3, and the probability of drawing a black ball from Box 2 or Box 3 is (7/10) + (2/10) = 0.9. Therefore, the probability is 0.3 * 0.9 = 0.27 or 27%. However, since there are two possible scenarios (drawing a red ball from Box 1 and a black ball from Box 2 or drawing a red ball from Box 1 and a black ball from Box 3), we double the probability to obtain 54%. Adding the individual probabilities of each scenario gives a total probability of 54% + 10% = 64%.
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An ant starts at (0, 0), and only makes moves of length 1 in the positive x directions or the positive y direction. How many paths are there from the ant that end at (3, 3) but never pass through (2, 3)
Answer:
The number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.
Step-by-step explanation:
The possible pathways are as follows:
(0, 0) → (1, 0) → (2, 0) → (3, 0) → (3, 1) → (3, 2) → (3, 3)
(0, 0) → (1, 0) → (2, 0) → (2, 1) → (2, 2) → (3, 2) → (3, 3)
(0, 0) → (1, 0) → (1, 1) → (1, 2) → (2, 2) → (3, 2) → (3, 3)
(0, 0) → (0, 1) → (0, 2) → (1, 2) → (2, 2) → (3, 2) → (3, 3)
Thus, the number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.
Can y'all help me this question ASAP this all I need
d(1) = 3
d(n) = 2 x d(n − 1)
Step-by-step explanation:
°F represents the
The temperature was 13° F. It dropped so that the temperature was o°F
change in temperature,
°F represents the change in temperature.
Write as a fraction
Step-by-step explanation:
it dropped to Celsius degree
Ada' hitory teacher wrote a tet for the cla. The tet i 26 quetion long and i worth 123 point. Ada wrote two equation, where m repreent the number of multiple choice quetion on the tet, and repreent the number of eay quetion on the tet. M=26
3m8=123
There are 9 questions on the test.
Let, the number of multiple-choice questions on the test = m
the number of essay questions on the test = s
m + s = 26 .......(1)
So, We are also told that multiple choice is worth 3 points each, so the total number of points for m questions will be 3m.
As essays are worth 8 points each, so the total number of points for s questions will be 8s.
3m + 8s = 123 .......(2)
Now we will use the substitution method to solve a system of linear equations.
From equation (1) we will get,
m = 26 -s
Substituting this value in equation (2) we will get,
3 * (26- s) + 8s =123
78 - 3s + 8s = 123
5s = 123 -78
5s = 45
s = 45/5 = 9
So, there are 9 questions on the test.
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The complete question is:
Ada’s history teacher wrote a test for the class.
The test is 26 questions long and is worth 123 points.
Ada wrote two equations, where m represents the
number of multiple choice questions on the test, and
s represents the number of essay questions on the test.
m+s= 26
3m + 8s = 123
How many essay questions are on the test?
find the sum or 1/4+1/7
Answer: 11/28
Step-by-step explanation:
Alright so this is just adding fractions:
First, find common denominator:
If it isn't the common denominator is not apparent, you can always find it by multiplying the two numbers together:
So... 4*7=28
Now that the we have the common denominator, we have to change the top value. Whatever we do to the denominator we must do to the numerator:
So in this instance, we multiplied 4 to 7 to get 28, so we must multiply 1 (the numerator) by 7 as well, giving us 7/28.
We must do this to the other fraction, we multiplied 7 by 4 to get 28 so we must do it to the numerator, giving 4/28.
Now just add the numerator only. Its a common mistake to add both the numerator and the denominator, when the denominator should just remain the same:
4+7=11
11/28 or in decimal form: 0.3928
Hello and regards 313samn
The solution to the sum of the fraction 1/4 + 1/7 is 11/28.
Step-by-step explanation:1/4 + 1/7
We write each numerator over the lowest common denominator.
We want to expand the fractions to have a common denominator and be able to add them.
(1 × 7)/(4 × 7) + 1/7
(1 × 7)/(4 × 7) + (1 × 4)/(7 × 4) = 7/28 + 4/28
We observe that both fractions have an equal denominator, in this case, we unite and add them.
(7 + 4)/28
11/28
The solution to the sum of the fraction 1/4 + 1/7 is 11/28.
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Write the mathematical model and use Solver to answer the following question:
A farm co-op has 6,000 acres available to plant with corn and soybeans. Each acre of corn requires 9 gallons of fertilizer/herbicide and 0.75 hour of labor to harvest. Each acre of soybeans requires 3 gallons of fertilizer/herbicide and 1hour of labor to harvest. The co-op has available at most 40,501 gallons of fertilizer/herbicide and at most 5,250 hours of labor for harvesting. Find the maximum profit if the profits per acre are $75 for corn and $40 for soybeans. Round your answer to the nearest cent if necessary.
a. $210,000.00
b. $393,750.00
c. $371,255.83
d. $180,004.44
e. $318,744.17
The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.
To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.
Let x be the number of acres of corn and y be the number of acres of soybeans.
1. Total acre constraint: x + y ≤ 6,000
2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501
3. Labor constraint: 0.75x + y ≤ 5,250
The objective function to maximize is the profit function: P(x,y) = 75x + 40y
Now, we will use the Solver to find the maximum profit:
Step 1: Set up a spreadsheet with the constraints and the objective function.
Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.
Step 3: Set the objective function by selecting the cell with the profit function.
Step 4: Choose "Max" for the objective.
Step 5: Add the constraints by selecting the corresponding cells.
Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.
After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83
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The equation Y=ax^2+bx+c goes through the coordinates (-2, 23), (-1, 9), and (4, 29). What are the values of a, b, and c?
The value of a, b and c in Y=ax²+bx+c are 3, -5 and 1 respectively.
As it is provided that the quadratic equation Y=ax²+bx+c goes through the coordinates (-2, 23), (-1, 9), and (4, 29).
One of the method of solving quadratic is by putting the points,
So, it means that these coordinates will satisfy the equation,
So, putting the coordinates in the equation one by one,
First putting (-2,23)
We get,
(23) = a(-2)²+b(-2)+c
23 = 4a-2b+c
Now, putting, (-1,9)
We get,
(9) = a(-1)²+b(-1)+c
9 = a-b+c
From here, we get,
c = 9-a+b.
Now, putting (4,29)
We get,
(29) = a(4)²+b(4)+c
29 = 16a+4b+c
Now, putting c = 9-a+b, in 29 = 16a+4b+c and 23 = 4a-2b+c,
we get,
29 = 16a+4b+9-a+b
20 = 15a + 5b
dividing by 5,
4 = 3a+b ….. Equation (1)
Now,
c = 9-a+b in 23 = 4a-2b+c,
23 = 4a-2b+9-a+b
14 = 3a-b ….. Equation (2)
Adding equation 1 and 2,
18 = 6a
a = 3,
Putting a = 3 in equation 1,
4 = 3(3)+b
b = -5
We know,
c = 9-a+b
c = 9-3+(-5)
c = 1
So, a = 3, b = -5 and c = 1.
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The diagram below shows circle O with radii OL and OK.
The measure of OLK is 35º.
What is the measure of LOK?
Answer:
∠LOK = 110
Step-by-step explanation:
Since OL = OK, ΔOLK is an isoceles triangle
Therefore, the angles opposite to the equal sides are also equal
i.e., ∠OKL = ∠OLK = 35°
Also, ∠OKL + ∠OLK + ∠LOK = 180°
⇒ 35 + 35 + ∠LOK = 180
⇒ ∠LOK = 180 - 35 - 35
⇒ ∠LOK = 110
Note: Image attach - what it would look like on a graph with circle radius = 5 units
A rectangular garden has an area of 80m^2. Its length is 2 meters longer than its width. How much fencing is needed to enclose the garden
Answer:
Step-by-step explanation:
Formula
A = L * w
P = 2*L + 2*w In Effect, you are trying to find P
Givens
A = 80 m^2
w = x
L = x + 2
Solution
x*(x + 2) = 80 Remove brackets
x^2 + 2x = 80 Subtract 80 from both sides
x^2 + 2x - 80 = 80-80 Combine
x^2 + 2x - 80 = 0 Factor the quadratic
(x - 8)(x + 10) = 0
x + 10 is an extraneous solution: x would = -10 which can't exist
x - 8 = 0
x = 8
w = 8
L = 8 + 2 = 10
L = 10
Fencing
P = 2L + 2w
P = 2*10 + 2*8
P = 20 + 16
P = 36 meters
Answer
36 meters of fencing is needed
what is the mean of $29 $58 $15 $129 $75 $22
Step-by-step explanation:
Mean= Sum of all the numbers/ Total numbers
So,
29+58+15+129+75+22=328/6
= 54.666666667 Answer
Answer:
$46.90
Step-by-step explanation:
29+58+15+129+75+22=328
328/7=46.85...
rounded: $46.90
solve for x in the equation (x-3)³
Answer:
x=3
Step-by-step explanation:
firstly this equation isn't possible without it equaling to something. I set it equal to zero and got x=3.
EX:
(x-3)^(3)=0
questions, You must show work to
Which correctly explains the number of solutions of the following system of linear
equations?
-3x + 3y = 12
y=x+4
A
The graphs of the equations are parallel lines because they have the same slope
but different y-intercepts. The system has no solution.
B
The graphs of the equations are lines that intersect at one point because
equations have the same slope but different y-intercepts. The system has
exactly one solution.
C The graphs of the equations are lines that intersect at one point because the
equations have the same slope and same y-intercept. The system has exactiy
one solution.
D The graphs of the equations are the same line because the equations have
same slope and same y-intercept. The system has infinitely many solutions.
Answer:
Step-by-step explanation:
from the first ... 3y = 3x + 12 or
y = x + 4
This is the same as the second, so D
When a system of two linear equations has no solution, how do the graphs of the equations appear?
Answer:
parallel lines that never intersect.
Step-by-step explanation:
When dealing with two linear equations that have no solution, it means that they usually have two variables and are part of a system of equations. Such an example would be the following two equations
2x - y = 2
4x - 2y = 8
These two equations would be part of the same system and they have no solution because there is no pair of values that will give a valid solution to both for the variables x and y. In a graph these equations would appear as parallel lines that never intersect. This is why no solution is found, because there is no intersection.
What is the main difference between the houses in the East and west eggs?
The residences have a more colonial aspect in East Egg and a more substandard construction and "run down" appearance in West Egg. This is the fundamental distinction between the two neighbourhoods' housing stock.
Both East Egg and West Egg are rich neighbourhoods, although "old money" families choose to live in the more upscale East Egg. In contrast, people of West Egg who are newly wealthy, like Gatsby, purposefully imitate European royalty to look established.
West Egg is home to the nouveau riche, or "New Money." East Egg's inhabitants hail from wealthy families. Tom and Daisy, two conceited and entitled people, reside in East Egg, whereas Nick and Jay reside in West Egg. The poorest residents are only permitted in the Valley of Ashes.
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Can you find the slope and type the correct code? Please remember to type in ALL CAPS with no spaces.
Yes, I can find the slope of a line and type the correct code. The SLOPE function will return the slope of the linear regression line that best fits the data.
The slope of a line is the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. The formula for finding the slope of a line is (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line.
The slope is a measure of how steep the line is. It can be positive, negative, zero, or undefined. The code for finding the slope of a line in ALL CAPS with no spaces is SLOPE.
To use this function in Excel, you need to provide the range of x-values and the range of y-values.
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precalculus b dba given a vertical asymptote and a horizontal asymptote, how would you begin to find an expression for a rational function?
By finding the vertical and horizontal asymptotes, you can use them to help find an expression for the rational function
To find an expression for a rational function given a vertical asymptote and a horizontal asymptote, start by recognizing that the general form of a rational function is f(x) = (ax + b)/(cx + d), where a, b, c, and d are all constants.
Next, use the given information to solve for a, b, c, and d in the equation. The vertical asymptote represents the x-values at which the denominator of the equation equals zero, so set cx + d equal to zero and solve for x. Similarly, the horizontal asymptote can be found by setting ax + b equal to the asymptote’s y-value.
Once both equations are solved for x, substitute the x-values back into the equation for the rational function and solve for the corresponding a, b, c, and d values.
A vertical asymptote occurs when the denominator of the rational function is equal to zero, so you can set the denominator equal to zero and solve for the variable to find the vertical asymptote.
A horizontal asymptote occurs when the degree of the numerator and denominator are equal, so you can look at the leading coefficients of the numerator and denominator to find the horizontal asymptote.
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Harold deposited $70 in an account earning 5% interest compounded annually. To the nearest cent, how much interest will he earn in 2 years? Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
10.50
Step-by-step explanation:Harold deposited $70 in an account earning 5% interest compounded annually. To the nearest cent, how much interest will he earn in 2 years? Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.