The value of m∠1 in the given diagram is 113 (last option)
How do i determine the value of m∠1?From the diagram given above, we obtained the following data:
m∠3 + 67 = 180 (angle on a straight line)m∠3 + m∠2 = 180 (angle on a straight line)m∠2 + m∠1 = 180 (angle on a straight line)m∠1 + 67 = 180 (angle on a straight line)m∠2 = 67 (vertically opposite angle)m∠1 = m∠3 (vertically opposite angle)Considering the above, we can easily obtain the value of m∠1 as follow:
m∠1 + 67 = 180 (angle on a straight line)
Collect like terms
m∠1 = 180 - 67
m∠1 = 113
Thus, we can conclude from the above calculation that the value of m∠1 is 113 (last option)
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Im giving brainlest!
Compare the function represented by the table to the function represented by the graph to determine which statement is true.
A) The tabled function has a lower minimum value.
B) The tabled function has a greater maximum value.
C) The graphed function has a lower minimum value.
D) The graphed function has a greater maximum value. Eliminate
The statement that is true concerning the function of the table compared to the graph is that the graphed function has a greater maximum value. That is option D.
Comparison of table function and graphFrom the graph, the maximum value is =0.5 while the minimum value cannot be determined.
From the table the maximum value is -3 while the minimum value is -24.
Therefore, the statement that is true concerning the function of the table compared to the graph is that the graphed function has a greater maximum value.
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Company XYZ closed at $100.76 per share with a P/E ratio of 1525 Answer the following questions. a. How much were earnings per share? b. Does the stock seem overpriced , underpriced, or about right given that the historical P/E ratio is 12-14? a. How much were earnings per share? $ Round to the nearest cent as needed. b. Based on the fact that the Company XYZ stock historically trades at an average P/E ratio of 12-14, does the stock price seem overpriced, underpriced, or about right?
The earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).
a. The earnings per share for Company XYZ can be calculated by dividing the closing price by the P/E ratio. In this case, the closing price is $100.76 and the P/E ratio is 1525. Therefore, the earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).
b. Based on the historical P/E ratio range of 12-14, the stock price of Company XYZ seems overpriced. The P/E ratio indicates the price investors are willing to pay for each dollar of earnings generated by the company. A higher P/E ratio suggests that investors have higher expectations for future earnings growth. In this case, the P/E ratio of 1525 is significantly higher than the historical range of 12-14, indicating that the stock is being valued at a much higher premium relative to its earnings. This suggests that the stock price may be inflated and not in line with the company's historical valuation metrics, indicating an overpriced condition.
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Make X the subject :))
Answer:
\(x = \frac{3 + 8y}{y - 1}\)
Step-by-step explanation:
\(y = \frac{x + 3 }{x - 8}\)
Cross multiply,
y(x - 8) = x +3
yx - 8y = x + 3
yx - 8y -x = 3
yx - x = 3 + 8y
(y - 1)x = 3 +8y
\(x = \frac{3 + 8y}{y - 1}\)
Do You KNOW HOW? Find the vertex and y-intercept of the quadratis function. 5. y=3x^(2)-12x+40
The vertex is (2, 28) and the y-intercept is y = 40.
How to find the vertex and the y-intercept?For a general quadratic equation.
y = ax² + bx + c
The vertex is at:
x = -b/2a
Here we have the quadratic equation:
y = 3x² - 12x + 40
Then the vertex is at:
x = -(-12)/2*3 = 12/6 = 2
Evaluating in that value, we will get:
y = 3*2² - 12*2 + 40
y = 28.
So the vertex is (2, 28).
To find the y-intercept, we need to evaluate the quadratic in x = 0.
y = 3*0² - 12*0 + 40
y = 40
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Can some one help me please!
Answer:
a
Step-by-step explanation:
a landscape architect wishes to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three sides by a metal fence costing $10/ft. if the area of the garden is 8 square feet, find the dimensions of the garden that minimize the cost.
the dimensions of the garden that minimize the cost are L = 2 ft and W = 4 ft.Let the length of the rectangular garden be L and the width be W. Then, the area of the garden is given as L x W = 8.
The cost C of enclosing the garden is given by:
C = 20L + 10(2L + W)
Substituting the value of W from the area equation, we get:
C = 20L + 10(2L + 8/L)
Differentiating C with respect to L and equating it to zero to find the minimum cost:
dC/dL = 20 + 20 - 80/L^2 = 0
Solving for L, we get L = 2 ft
Substituting L = 2 in the area equation, we get:
W = 4 ft
Therefore, the dimensions of the garden that minimize the cost are L = 2 ft and W = 4 ft.
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What is the angle of rotation for the following figure?
120°
90°
60°
45°
Answer:
45
Step-by-step explanation:
360/8 = 45
The required angle of the rotation is 45°.
Angle of rotation is to be determined. Each spin represent degree of rotations.
The angle can be defined as the one line inclined over another line.
Total number of spines = 8
The angle of rotation = 360/8
= 45°
Thus, the required angle of the rotation is 45°.
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find the 90th percentile for an individual teacher's salary. (round your answer to the nearest whole number.)
The salary of a single teacher falls into the 90th percentile at $54,912.
Define the function of z-score formula?The z-score formula can be used to resolve issues with samples that have a normal distribution.The Z-score calculates the deviation of the measure from the mean in standard deviations. We glance now at z-score table after determining the Z-score to determine the p-value connected to it. The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of both the measure exceeds X is calculated by deducting 1 from the p-value.The z-score of a measure X in a collection with mean and standard deviation is given by:
z = (x - μ)/σ
In which,
μ is mean = $48,000
σ is standard deviation = $5,400.
This issue involves that:
Find the teacher's compensation at the 90th percentile.
When Z does indeed have a p-value of 0.9, that's the value of X. So when Z = 1.28, it is X.
1.28 = (x - 48,000)/5,400
x = 48,000 - 1.28 x 54,00
x = 54,912.
Thus, the salary of a single teacher falls into the 90th percentile at $54,912.
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The complete question is-
Salaries for teachers in a particular elementary school district are normally distributed with a mean of $48,000 and a standard deviation of $5,400. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.) (a) Find the 90th percentile for an individual teacher's salary.
in a certain region, the average movie theater ticket price in 2016 was $9.63. In 2015, it was $8.32. Find the increase in the average movie theater ticket price from 2015 to 2016
‼️ASAP!!! BRAINLIEST!!‼️
PLS HELP!!! SHOW ALL WORK + STEPS!! Thx!
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A car and a truck start from rest at the same instant, with the car initially at some distance behind the truck. The truck has a constant acceleration of 2. 10 m/s2 and the car an acceleration of 3. 40 m/s2. The automobile overtakes the truck after the truck has moved 60. 0 m.
a) it takes 9.61 seconds for the automobile to overtake the truck. b) The automobile was initially 165.34 meters behind the truck. c) During the overtaking, the speed of the truck is 21.142 m/s, and the speed of the automobile is 33.635 m/s.
To solve this problem, we can use the equations of motion to calculate the time it takes for the automobile to overtake the truck, the initial distance between them, and their speeds during the overtaking.
Let's denote the time it takes for the automobile to overtake the truck as t.
(a) For the truck:
Using the equation of motion s = ut + (1/2)a\(t^{2}\), where s is the distance covered, u is the initial velocity (0 in this case), a is the acceleration (2.2 m/s^2), and t is the time, we can find the distance covered by the truck when the automobile overtakes it.
s_truck = (1/2) * 2.2 * \(t^{2}\)
s_truck = 1.1 * \(t^{2}\)
For the automobile:
s_automobile = (1/2) * 3.5 * \(t^{2}\)
s_automobile = 1.75 * \(t^{2}\)
Given that the truck has moved 60 m when the automobile overtakes it, we can set up the equation:
s_truck = s_automobile + 60
1.1 * \(t^{2}\) = 1.75 * \(t^{2}\) + 60
Simplifying the equation:
0.65 * \(t^{2}\) = 60
\(t^{2}\) = 60 / 0.65
\(t^{2}\) ≈ 92.3077
t ≈ √92.3077
t ≈ 9.61 seconds
Therefore, it takes approximately 9.61 seconds for the automobile to overtake the truck.
(b) To find the initial distance between the automobile and the truck, we can substitute the value of t into either of the equations:
s_automobile = (1/2) * 3.5 * \(t^{2}\)
s_automobile = (1/2) * 3.5 * \((9.61)^{2}\)
s_automobile ≈ 165.34 meters
Therefore, the automobile was initially approximately 165.34 meters behind the truck.
(c) To find the speeds of the automobile and the truck during overtaking, we can use the equation of motion v = u + at, where v is the final velocity, u is the initial velocity (0 in this case), a is the acceleration, and t is the time.
For the truck:
v_truck = 0 + 2.2 * 9.61
v_truck ≈ 21.142 m/s
For the automobile:
v_automobile = 0 + 3.5 * 9.61
v_automobile ≈ 33.635 m/s
Therefore, during the overtaking, the speed of the truck is approximately 21.142 m/s, and the speed of the automobile is approximately 33.635 m/s.
Correct Question :
An automobile and a truck start from rest at the same instant, with the automobile initially at some distance behind the truck. Then truck has a constant acceleration of 2.2 m/s2 and the automobile has an acceleration of 3.5 m/s 2. The automobile overtakes the truck when it (truck) has moved 60 m.
(a) How much time does it take to automobile to overtake the truck?
(b) How far was the automobile behind the truck initially?
(c) What is the speed of each during overtaking?
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Find the slope of a line that passes through the points (-3, -1) and (2, -1)
Answer:
\(\frac{0}{5}\)
Step-by-step explanation:
In order to find the answer to this question you need to input the values in a slope formula and solve using KCF (Keep, Change, Flip) if needed.
\(m = \frac{y^2-y^1}{x^2-x^1}\)
\((-3,-1),(2,-1)\)
\((x^1,y^1)=(-3,-1)\)
\((x^2,y^2)=(2,-1)\)
Substitute:
\(m=\frac{-1--1}{2--3}\)
Solve using KCF:
\(-1+1=0\)
\(2+3=5\)
\(=\frac{0}{5}\)
Hope this helps.
the mean height of students that have jobs in the classroom is 68.72222. the mean height of students that don't have jobs is 66.45833. what is the lower limit of the 95% confidence interval for the difference of the mean height of biology students that have jobs and those that don't, based on the above calculations?
df = [\((s1^2/n1+s2^2/n2)^2/{1/n1-1 (s1^2/n1)^2+1/n2-1(s2^2/n2)^2}].\)
What does confidence interval mean?
Your estimate's mean plus and minus the range of that estimate's fluctuation is called a confidence interval.
If you repeat your test, you can expect your estimate to fall between these numbers with a reasonable degree of certainty. Another term for probability in statistics is confidence.
The 95%
\(c.i=(x1bar-x2bar)-zalpha/2 SE, assuming both n1 and n2 are greater than 30, SE=sqrt[sigma1^2/n1+sigma2^2/n2]\)
=(68.72222-66.45833)-1.96 SE
=2.26389-1.96 SE,
The 95%
\(c.i=(x1bar-x2bar)-talpha/2 SE, where, SE=sqrt (s1^2/n1+s2^2/n2),\)
and both n1 and n2 are less than 30,
t critical is computed at alpha/2,
and
df= \((s1^2/n1+s2^2/n2)^2/{1/n1-1 (s1^2/n1)^2+1/n2-1(s2^2/n2)^2}].\)
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A toy shop has stuffed Ana I’m als originally priced at $25 each. There is now a 20% discount on the stuffed animals. What is the sale price of each stuffed animal?
Answer:
$20 for each stuffed animal
Step-by-step explanation:
[] The original price is $25, but it is 20% off.
100% - 20% = 80%
[] Now we can find 80% of $25.
-> First, 80% divided by 100 becomes 0.8, a decimal we can work with
25 * 0.8 = 20
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Consider the system of equations, y = f(x) and y= g(x), where
f(x) = 11x-7 and g(x) = 3x + 17.
Which method would you use to solve this system of equations? Explain
your reasoning and provide the solution to the system.
Answer:
(x, y) = (3, 26)
Step-by-step explanation:
I like to solve systems of equations like this by graphing. A graphing calculator easily shows the solution for both x and y.
(x, y) = (3, 26)
__
As an alternative, here, the equations can be subtracted.
y = f(x)
y = g(x)
0 = f(x) - g(x) . . . . subtract the second equation from the first
0 = 11x -7 -(3x +17)
0 = 8x -24 . . . . simplify
0 = x -3 . . . . . . .divide by 8
3 = x
Now, we can substitute into either equation:
y = g(x) = 3(3) +17 = 26
The solution is (x, y) = (3, 26).
10 POINTS??!!!!!!! PLZ HELP ME WITH THIS Abby has $465 in her saving account. She wants to save at least $915. Write and solve an inequality to determine how much more money Abby must save to reach her goal. Let d represent the amount of money in dollars Abby must save to reach her goal.
answer choice D) The graph crosses the y-axis at (0,5), increasing from x=-10 to x=2 and decreasing from x=2 to x=10
Answer:
(A) see the attachments
Step-by-step explanation:
The graph is constant from x=2 to x=10. This eliminates all descriptions except A, which is the correct one.
Miguel’s family drove 357 miles on their weekend trip. Their car’s average gas mileage was 25.5 miles per gallon. How many gallons of gas did they use? Round your answer to the nearest tenth of a gallon if necessary.
1.4 gallons
14 gallons
91 gallons
140 gallons
Answer:
14 gallons
Step-by-step explanation:
357/25.5 = 14
14 gallons
hopefully this helps you :)
pls mark brainlest ;)
Thank you :)
Answer:
14 gallons
Step-by-step explanation:
took the test
What is the measure of arc EAB in circle F?
Answer: Therefore, the measure of arc EAB is 148 degrees and option C is the correct choice.
That’s what I think, sorry if it’s not correct
In a class of 40 students, 30 % likes Mathematics but not English, 45 % likes English but not Mathematics and 10 % students like other subjects
Step-by-step explanation:
what's the questions??
Write 0.2 repeating as a fraction in simplest form.
Answer:
\(\frac{2}{9}\)
Step-by-step explanation:
We require to create 2 fractions with the repeating 2 after the decimal point.
let x = 0.22.... → (1) ← multiply both sides by 10
10x = 2.22....... → (2)
Subtract (1) from (2) thus eliminating the repeating decimal
9x = 2 ( divide both sides by 9 )
x = \(\frac{2}{9}\)
Thus
0.22..... = \(\frac{2}{9}\)
Answer:
2/9
Step-by-step explanation:
We require to create 2 fractions with the repeating 2 after the decimal point.
let x = 0.22.... → (1) ← multiply both sides by 10
10x = 2.22....... → (2)
Subtract (1) from (2) thus eliminating the repeating decimal
9x = 2 ( divide both sides by 9 )
x =
Thus
0.22..... =
Help me please ASAP!
Answer:
a: x = -4, b : x = -4, c : x = -3, d : x = -5
Step-by-step explanation:
Using an integrating factor, solve y-y-5 CD- in the method for solving a first-order linear differential equation, the first step is to put the equation in the standard form y alty bit). is the given equation in the standard form? No Yes Identify a(t) and bit)
The value of a(t) is -1 and b(t) is 55 + \(e^t\)
No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.
In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.
For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:
μ(t) = e^∫a(t)dt
To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.
To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).
Comparing the given equation with the standard form, we can identify:
a(t) = -1
b(t) = 55 + \(e^t\)
Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)
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Consider the following functions.f(x) = x + 4 and g(x) = x-7Step 1 of 4: Find (f + 8)(x). Simplify your answer,Answer(+8)(x) =
Answer:
2x - 3
Solve for x
THANK YOU
Step-by-step explanation:
so, I read here
2/3 x + 3x/x = 4x/2 × (3x + 6)
that is
2/3 x + 3 = 4x/2 × (3x + 6)
2x/3 + 3 = 2x × (3x + 6)
2x + 9 = 6x × (3x + 6)
2x + 9 = 18x² + 36x
18x² + 34x - 9 = 0
the general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 18
b = 34
c = -9
x = (-34 ± sqrt(34² - 4×18×-9))/(2×18) =
= (-34 ± sqrt(1156 + 648))/36 =
= (-34 ± sqrt(1804))/36 =
= (-34 ± sqrt(4×11×41))/36 =
= (-34 ± 2×sqrt(451))/36
x1 = (-34 + 2×sqrt(451))/36 =
= 0.235375588...
x2 = (-34 - 2×sqrt(451))/36 =
= -2.124264477...
Answer:
\(x=\dfrac{-17+ \sqrt{451} }{18}, \quad x=\dfrac{-17- \sqrt{451} }{18}\)
Step-by-step explanation:
\(\textsf{Given equation}:\)
\(\dfrac{2}{3}x+\dfrac{3x}{x}=\dfrac{4x}{2}(3x+6)\)
\(\textsf{Cancel the common factor } x \textsf{ in }\dfrac{3x}{x}:\)
\(\implies \dfrac{2}{3}x+3=\dfrac{4x}{2}(3x+6)\)
\(\textsf{Simplify }\dfrac{4x}{2}\textsf{ by dividing the numbers}:\)
\(\implies \dfrac{2}{3}x+3=2x(3x+6)\)
\(\textsf{Apply the distributive law}\quad \:a\left(b+c\right)=ab+ac:\)
\(\implies \dfrac{2}{3}x+3=6x^2+12x\)
\(\textsf{Multiply both sides by 3 to cancel the denominator of }\dfrac{2}{3}:\)
\(\implies \dfrac{2}{3}x\cdot 3+3\cdot 3=6x^2\cdot 3+12x \cdot 3\)
\(\implies 2x+9=18x^2+36x\)
\(\textsf{Switch sides}:\)
\(\implies 18x^2+36x=2x+9\)
\(\textsf{Subtract }2x \textsf{ from both sides}:\)
\(\implies 18x^2+36x-2x=2x+9-2x\)
\(\implies 18x^2+34x=9\)
\(\textsf{Subtract 9 from both sides}:\)
\(\implies 18x^2+34x-9=9-9\)
\(\implies 18x^2+34x-9=0\)
Solve using the Quadratic Formula:
\(x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0\)
Define the variables:
\(\implies a=18, \quad b=34, \quad c=-9\)
Substitute the defined variables into the quadratic formula and solve for x:
\(\implies x=\dfrac{-34 \pm \sqrt{34^2-4(18)(-9)} }{2(18)}\)
\(\implies x=\dfrac{-34 \pm \sqrt{1156+648} }{36}\)
\(\implies x=\dfrac{-34 \pm \sqrt{1804} }{36}\)
\(\implies x=\dfrac{-34 \pm \sqrt{4 \cdot 451} }{36}\)
\(\implies x=\dfrac{-34 \pm \sqrt{4}\sqrt{451} }{36}\)
\(\implies x=\dfrac{-34 \pm 2\sqrt{451} }{36}\)
\(\implies x=\dfrac{-17 \pm \sqrt{451} }{18}\)
Therefore, the solutions to the given equation are:
\(x=\dfrac{-17+ \sqrt{451} }{18}, \quad x=\dfrac{-17- \sqrt{451} }{18}\)
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1. 180 in both degrees and radians
2. 225 in both degrees and radians
3. 0 in both degrees and radians
4. 270 in both degrees and radians
5. 45 in both degrees and radians
give all work for brainlist
The value of the numbers in degrees and radians will be:
1. 180 in both degrees and radians = 180° and 3.14 Rad
2. 225 in both degrees and radians = 225° snd 45π radians
3. 0 in both degrees and radians = 0° and 0 rad
4. 270 in both degrees and radians= 270° and 4.71239 radians
5. 45 in both degrees and radians = 45° and 0.785 Rad
What is a radian?The standard unit of angular measurement used in many branches of mathematics is the radian, denoted by the symbol rad. It is the unit of angle in the International System of Units.
Previously, the unit was a SI supplementary unit. The SI defines the radian as a dimensionless unit, with 1 rad equal to 1.
It should be noted that 45° will be:
= π/4
= 0.785 Rad
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guys i need huge help. this isn’t a “brainly” question but i do my work online, and i have over 150 OVERDUE assignments. i’ve been doing them but it’s so so so hard to catch up and REPORT CARDS come out on tuesday. if i don’t have my work completed by then i’ll have all “f’s” HELP ME how can i catch up? any advice? :(
Answer:
Step-by-step explanation:
oh my 150 overdue
you should start with one subject and finish them up. then move on to the next subject. dont switch subjects and focus. youll get them all sooner if you pay attention. dont cheat!
Answer:
ok, so i feel you. i don't have 150 overdue but i do have 13 lol. so today is wednesday, so you have 6 days. 150÷6=25. so try to do 25 assignments a day. i know it feels sooooo stressful, but i mean you have to make up for all those days you didn't do work. make a list of everything you have to do (on paper or in google docs/notes/word). don't do work in your bed; it makes you feel lazy. do it at a table or desk. clean your work area! have a piece of paper and a pencil so you can work out problems. fill up a glass of water right next to you. play some chill music; NOT your favorite songs! they will distract you! ask your alexa/google home/apple homepod to play some study music, or play it from your phone or whatever. just some background music to help you focus. if you play music from your phone, make sure to keep it on silent and do not disturb so you don't get distracted by notifications. work alone, not in a room with other people. just power through your work. take it one at a time; don't overwork yourself. take breaks if you need to, but don't get too distracted. after you complete your 150 assignments, try to work ahead so this never happens again.
Step-by-step explanation:
if you need more help, of course use brainly or quizlet or essay typer. but try not to cheat most of the time; it'll make you feel more proud if you don't. i really hope this helps you. i know you can do it. i wish you the best of luck! <3
what makes 3+7+2= +2true?
The equation 3+7+2=+2 is actually not true, but false.
Is the 3+7+2= +2true?The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.
In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.
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Find a linear equation in standard form for the line described.
1 m= 1/2 and b = 0.75
2 Through P(-2, -1); m = 0
The linear equations for the given line with
1. Slope m = 1/2 and b = 0.75; y = 1/2x + 0.75
2. Slope m = 0 and passing through P(-2, -1); y + 1 = 0
What are the standard forms of line with a slope, intercept, and passing through a point?The equation of the line with slope 'm' and y-intercept 'b' is
y = mx + b
The equation of the line with slope 'm' and passing through a point P(x1, y1) is
(y - y1) = m(x - x1)
Calculation:1) A line described with m = 1/2 and b = 0.75:
The standard form of the line with a slope and intercept is
y = mx + b
On substituting,
y = (1/2)x + 0.75
⇒ y = 0.5x + 0.75
Thus, the linear equation in the standard form for the given line is
y = 0.5x + 0.75
2) A line described with m = 0; and passing through P(-2, -1):
The standard form of the line with a slope and passing through the point P(x1, y1) is
y - y1 = m(x - x1)
On substituting,
y - (-1) = 0(x - (-2))
⇒ y + 1 = 0
Thus, the linear equation in the standard form for the given line is
y +1 = 0
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what is the explicit formula for this sequence? -7,-3,1,5,…
Answer:
\(a_n=4n-11\)
Step-by-step explanation:
The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:
\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)