Answer:
starts at 40 shirts and ends at 8 days at an even slope of 5
Step-by-step explanation:
How to find a quadratic equation with y-intercept and vertex? Explain with examples.
To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.
To find a quadratic equation with the y-intercept and vertex, we can follow these steps:
Step 1: Identify the coordinates of the y-intercept. The y-intercept has the form (0, c), where c is the y-coordinate.Step 2: Identify the coordinates of the vertex. The vertex has the form (-b/2a, f(-b/2a)), where a, b, and c are the coefficients of the quadratic equation.Step 3: Substitute the coordinates of the y-intercept and vertex into the general form of the quadratic equation, y = ax^2 + bx + c.Step 4: Solve the resulting system of equations to find the values of a, b, and c.Step 5: Substitute the values of a, b, and c back into the general form of the quadratic equation to obtain the final equation.For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:
3 = a(0)^2 + b(0) + c
1 = a(-2)^2 + b(-2) + c
Simplifying these equations, we get:
c = 3
4a - 2b + c = 1
By substituting c = 3 into the second equation, we can solve for a and b:
4a - 2b + 3 = 1
4a - 2b = -2
2a - b = -1
By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:
y = x^2 + x + 3
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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.
Start with the standard form of a quadratic equation: y = ax^2 + bx + c, where a, b, and c are constants.Use the vertex form of a quadratic equation: y = a(x - h)^2 + k, where (h, k) represents the coordinates of the vertex.Substitute the vertex coordinates (h, k) into the equation to obtain the equation in vertex form.Use the y-intercept to find another point on the curve. The y-intercept has the form (0, c), where c is the value of y when x is zero.Substitute the coordinates of the additional point into the equation to obtain a system of two equations. Solve the system to find the values of a, b, and c.Substitute the determined values of a, b, and c into the standard form of the quadratic equation to obtain the final equation.Example:
Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).
Using the vertex form, we have y = a(x - 2)^2 - 1.Substituting the y-intercept coordinates, we get 4 = a(0 - 2)^2 - 1, which simplifies to 4 = 4a - 1.Solving the equation above, we find a = 1.Substituting the values of a and the vertex coordinates into the vertex form equation, we have y = 1(x - 2)^2 - 1.Expanding the equation and simplifying, we get y = x^2 - 4x + 3.The final quadratic equation with the given y-intercept and vertex is y = x^2 - 4x + 3.To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.
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if a 10-pound turkey costs $20.42.how much does a 21-pound turkey cost
Answer:
$42.88
Step-by-step explanation:
Let's create a proportion using the following setup:
cost/pounds=cost/pounds
We know that it costs $20.42 for a 10 pound turkey.
$20.42/10 pounds= cost/pounds
We don't know how much a 21 pound turkey costs, so we can say that it costs $x for a 21 pound turkey.
$20.42/ 10 pounds= $x/ 21 pounds
20.42/10=x/21
We want to find x, by getting x by itself.
x is being divided by 21. The inverse of division is multiplication. Multiply both sides by 21.
21*(20.42/10)=(x/21)*21
21* 20.42/10=x
21*2.042=x
42.882=x
Round to the nearest cent, or hundredth.
42.88=x
x= $42.88
A 21 pound turkey costs $42.88
Which equations describes a line that has a y-intercept of 4 and a slope of 3?
Hello there!
If a line has a slope of 3 and a y-intercept of 4, its equation looks like this:
\(y=3x+4\)
Hope this helps you! Mark Brainliest, please! :)
~Just a joyful teen
\(SilentNature\)
Answer:
y = 3x + 4
Step-by-step explanation:
P(x) = 3x^4 – 2x3 + 2x² – 1
What is the remainder when P(x) is divided by (x + 1)?
Answer:
6
Step-by-step explanation:
Hello, we can use the Remainder Theorem, so the remainder is P(-1)
\(P(-1)=3+2+2-1=6\)
Thanks
According to the reading, good measures are...
(select as many as apply)
Mark all that apply
robust
easily obtainable
transferable
secure
valid
objective
simple
quickly comprehensible
precisely definable
Good measures are robust, valid, objective, simple, and precisely definable.
In the context of measurement, good measures possess certain qualities that make them reliable and useful. Based on the options provided, the following qualities apply:
Robust: Good measures are robust, meaning they are resistant to outliers or extreme values that may affect the accuracy of the measurement.
Valid: Good measures are valid, meaning they accurately measure what they are intended to measure and provide meaningful information.
Objective: Good measures are objective, meaning they are free from bias or subjective interpretation, ensuring consistency and fairness.
Simple: Good measures are simple, making them easy to understand and apply. They avoid unnecessary complexity and confusion.
Precisely definable: Good measures have clear and precise definitions, ensuring consistent interpretation and allowing for replication in different contexts.
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find the area of the region between y=x1/2 and y=x1/3 for 0≤x≤1.
We have to find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1.
To find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1, we have to integrate x^(1/2) and x^(1/3) with respect to x. That is, Area = ∫0¹ [x^(1/2) - x^(1/3)] dx= [2/3 x^(3/2) - 3/4 x^(4/3)] from 0 to 1= [2/3 (1)^(3/2) - 3/4 (1)^(4/3)] - [2/3 (0)^(3/2) - 3/4 (0)^(4/3)]= 0.2857 square units
Therefore, the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1 is 0.2857 square units. Note: The question but the answer has been provided in the format requested.
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Anyone else having issues with brainly?
Answer:
I am
Step-by-step explanation:
I’m stuck on points
I don't understand the problem. Can you help me solve it please? I also have an IEP.
Answer:
12
Step-by-step explanation:
The Pythagorean theorem is
a^2+b^2 = c^2 where a and b are the sides and c is the hypotenuse ( the side opposite the right angle)
a^2 + b^2 = c^2
Substitute the known values
5^2 + b^2 = 13^2
25+b^2 = 169
Subtract 25 from each side
25+b^2-25 =169-25
b^2 = 144
Take the square root of each side
sqrt(b^2) = sqrt(144)
b=12
Answer:
Given:
a = 5c = 13To find:
missing side b
Solution:
Using Pythagorean theorem,
(Hypotenuse² = base² + perpendicular²)
b² = c² - a²
= 13² - 5²
= 169 - 25
= 144
b = √144
= 12
Graph the set {r | 1
x is higher than 1 ( one not included ) and less or equal than 4 (4 included).
x = [1 ,4 )
On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(−3, 1), B(3, 4), and C(3, −2). A bank employee drives from Branch A to Branch B and then drives halfway to Branch C before getting stuck in traffic. What is the minimum total distance the employee may have driven before getting stuck in traffic? Round to the nearest tenth of a mile if necessary.
The minimum total distance the employee may have driven before getting stuck in traffic is ____ miles.
Answer:
9.7 miles
Step-by-step explanation:
The shortest distance between 2 points is a straight line
The distance from point A to point B is
d = sqrt( ( x2-x1)^2 + ( y2-y1) ^2)
d = sqrt( ( 3 - -3)^2 + ( 4-1) ^2)
d = sqrt( ( 6)^2 + ( 3) ^2)
d = sqrt(36+9)
d = sqrt(45)
d =6.7 to the nearest tenth
The distance from point B to point C is
d = sqrt( ( x2-x1)^2 + ( y2-y1) ^2)
d = sqrt( ( 3 - 3)^2 + ( -2-4) ^2)
d = sqrt( ( 0)^2 + ( -6) ^2)
d = sqrt(36)
d = 6
But They only made it half way so 1/2 (6) =3
Add the distances together
6.7+3 = 9.7 is the minimum distance
"How many buses do you need for 800 people "if each bus holds 175 people?
5 buses
Explanation:
1 bus → 175 people
=======
? bus → 800/175
? bus → 4.57
Rounding to nearest whole number : 5
4. what is the slope in the regression equation, and how should this number be interpreted in the context of hurricane wind speed and central pressure?
The slope in the regression equation is the coefficient that represents the change in the response variable (in this case, hurricane wind speed) for every one-unit increase in the predictor variable (central pressure).
In the context of hurricane wind speed and central pressure, the slope represents the strength of the relationship between these two variables. A higher slope value indicates a stronger relationship between central pressure and wind speed, meaning that changes in central pressure have a larger impact on wind speed. Therefore, the slope is an important factor to consider when predicting or analyzing hurricane intensity.
In the context of hurricane wind speed and central pressure, the slope in the regression equation represents the relationship between the two variables. It shows how much the wind speed changes with respect to a change in central pressure.
To interpret the slope in this context, follow these steps:
1. Obtain the regression equation for the data on hurricane wind speed and central pressure. This equation will be in the form of y = mx + b, where y is the wind speed, x is the central pressure, m is the slope, and b is the y-intercept.
2. Identify the slope (m) in the equation. The slope represents the change in wind speed for every unit change in central pressure.
3. Interpret the slope value: If the slope is positive, it means that as central pressure increases, wind speed also increases. If the slope is negative, it indicates that as central pressure increases, wind speed decreases. The magnitude of the slope shows the strength of this relationship.
In conclusion, the slope in the regression equation between hurricane wind speed and central pressure helps us understand how the wind speed changes with respect to changes in central pressure, allowing for better prediction and analysis of hurricane behavior.
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Reptile sticker come in sheets of 6 and fish stickers come in sheets of 9. Antonio buys the same number of both types of stickers and he buys at least 100 of each type. What is the least number of sheets of each type he might buy?
Answer:
he ill buy 0.06 reptile stickers and 0.09 fish sticker sheets
Step-by-step explanation:
Find the answer to 12.6 x 3.9?
Answer: 49.14
Step-by-step explanation: All you have to do is multiply the two and then you get 49.14 12.6 X 3.9=49.14
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a jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 5 grams and the amount of gold in each necklace is 16 grams. a jeweler used 130 grams
The number of bracelets and the number of necklaces will be 10 and 5, respectively.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
A gem dealer had a proper measure of gold to make wristbands and pieces of jewelry. The amount of gold in every armband is 5 grams and the amount of gold in every accessory is 16 grams. A goldsmith utilized 130 grams.
Let 'x' be the number of Bracelets and 'y' be the number of Necklaces. Then the equation is given as,
5x + 16y = 130
The term 16y in the equation should be a multiple of 5 to get the whole value.
If the value of y is 5. Then the number of bracelets is given as,
5x + 16(5) = 130
5x + 80 = 130
5x = 50
x = 10
The number of bracelets and the number of necklaces will be 10 and 5, respectively.
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how many ways are there to select 11 countries in the united nations to serve on a council if 1 is selected from a block of 50, 2 are selected from a block of 70 and 8 are selected from the remaining 69 countries?
There are 1066085334130 ways.
Since we have given that
Total number of selected countries = 11
Number of selected countries from a block of 50 = 1
Number of selected countries from a block of 70 = 2
So, the remaining number of selected countries is from a block of 69.
= 11 - (1+2)
=11-3 =8
Now, we need to find the number of ways, so we will use "Combination" to select that number of countries.
\(50C_{1} * 70C_{2} * 69C_{8}\)
= 50 * 2415 * 8361453672
= 120750 * 8361453672
=1066085334130
Hence, there are 1066085334130 ways.
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Francisco sold 9 rolls of wrapping paper for a band fundraiser earning the band $22.50. Sharon sold 16 rolls of wrapping paper and earned $40.00 for the band. If this relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis, what is the slope of the graph in dollars per roll?
A. 1.25
B. 2.50
C. 3.75
D. 5.00
Answer:
A
Step-by-step explanation:
If the relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis
Then the two points on that line will be (14,17.50) and (16,20)
We know that the slope of a lien with points is give by:-
Hence, the slope of the graph with points (14,17.50) and (16,20) is given by :-
Therefore, the slope of the graph = 1.25 dollars per roll.
Qa.) State the contrapositive of the following implication. If G is a connected planar graph then G has at least one vertex of degree <= 5.
Qb.) Prove the contrapositive stated in part (a). Hint: use the fact that if G is a connected Planar graph , then e <= 3v-6.
Qc.) Use part (a) to show that every planar graph can be colored with 6 (or less) colors. Hint: Use a proof by Induction on the number of vertices G.
We assume that G is a connected planar graph with no vertex of degree <= 5. We will use e <= 3v - 6 to prove that G is not a planar graph. By handshaking lemma, we know that 2e = sum of degrees of all vertices. Let d be the maximum degree of G.
Qa. Contrapositive of an implication is a new implication formed by negating both the hypothesis and the conclusion.
The contrapositive of the implication "If G is a connected planar graph, then G has at least one vertex of degree <= 5" is "If G has no vertex of degree <= 5, then G is not a connected planar graph."
Qb. Proof: We assume that G is a connected planar graph with no vertex of degree <= 5.
We will use e <= 3v - 6 to prove that G is not a planar graph. By handshaking lemma, we know that 2e = sum of degrees of all vertices.
Let d be the maximum degree of G. Since G has no vertex of degree <= 5, then d >= 6.
Thus, the sum of degrees of all vertices in G is greater than or equal to 6v/2, which is equal to 3v.
Hence, 2e >= 3v.
Substituting this inequality in e <= 3v - 6, we get 2e >= 3e - 6, which implies that e >= 6.
Since e >= 6, it follows that G is not planar.
Qc. Proof: We use proof by induction on the number of vertices of G. For a graph with one vertex, the statement is trivially true.
For a graph with n > 1 vertices, assume that every planar graph with at most n - 1 vertices can be colored with 6 (or less) colors.
Let G be a planar graph with n vertices.
By part (a), there exists a vertex v of G with degree <= 5.
We remove v and all its edges from G to get a new graph G' with n - 1 vertices.
By the induction hypothesis, we can color G' with 6 (or less) colors.
We add back v and its edges to G.
Since v has degree <= 5, at most 5 colors are used on its adjacent vertices.
We use a new color for v.
Thus, G can be colored with 6 (or less) colors.
Therefore, by induction, the statement is true for all planar graphs.
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why is an unbiased staitistc generally preferred overan a biased statistic for estimating a population
An "unbiased-statistic" is preferred over "biased-statistic" for estimating population because it provides more accurate estimate of true population parameter.
A "biased-statistic" systematically overestimates or underestimates the population parameter, which leads to incorrect conclusions about the population. Biases can arise in many ways, such as through sampling methods or measurement errors.
Whereas, an "unbiased-statistic" is not systematically too high or too low, but rather it is an estimate that is equal on average to the true population parameter.
The "Unbiased-estimates" have a smaller "sampling-error" and are more accurate and more reliable for making inferences about the population.
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An investment of 4,000 earns 2% interest compounded annually. What will be value of the investment in 7 years
Start with your exponetial growth formula: y = a(1 + r)^t.
Now, a is going to be your initial amount, r is the rate, and t is the time.
So we have y = $4,000(1 + .02)^7.
Now simplify inside the parenthses first.
So we have y = $4,000(1.02)^7.
Simplifying further gives us y = $4,000(1.14868).
Now use a calculator to get y = $4,594.72
2/3+1/4=
Pls help meeeeeeee
Answer:
11/12 should be the correct answer!
Step-by-step explanation:
Let's make the denominator the same!
Lcm of 3 and 4 is 12
sooo... multiply
2/3 x 4/4 = 8/12
1/4 x 3/3 = 3/12
8/12 + 3/12 = 11/12
I dont Know what to put here
But Anwer Pls
Answer:
QR, QT
Step-by-step explanation:
A radii is a line from the center of the circle to the circumfrence of the circle.
In this case the radii are QR, QT, and QK because they all start from the center of the circle which is point Q and stop at the circumfrence of the circle.
Since QK isn't an answer choice the only answers are ...
QR and QT
What is the range of the function g(x) = |x – 12| – 2?
{y | y > –2}
{y | y > –2}
{y | y > 12}
{y | y > 12}
The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.
To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.
The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.
By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.
Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.
Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.
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You want to purchase a house in seven years the estimated cost is $180,000 and you want to make a 20% down payment how much do you need to save per month in order to cover your down payment
Answer:
$3000 is to be saved per month in order to cover the down payment
Step-by-step explanation:
It is that 20% of the total cost of the house is to be given as down payment.
The total cost of house is $180,000
The amount to be paid as down payment include
\(\frac{20}{100} * 180,000\\36000\)
considering that he will pay down payment in next 12 months, then the total sum of money to be saved per month is
\(\frac{360,00}{12} \\3000\)
a fighter jet traveled k miles in its first 96 minutes of flight time. if it completed the remaining 300 miles of the trip in t minutes, what was the average speed, in miles per hour for the entire trip?
The average speed was 60\(\frac{k+300}{96+t}\)
We are given that a plane travelled k miles in 96 minutes. Since we need the average speed in miles per hour we can convert 96 minutes to hours.
96 minutes = 96/60 =8/5 hours
We are also given that the Plane completed the remaining 300 miles in t minutes. We must also convert t minutes to hours.
t minutes = t/60 hours
Now we can calculate the average speed for the entire trip, using the formula for average speed.
Average Speed = total distance/ total time
Average Speed = (k +300)/(8/5 + t/60)
Average speed = (k + 300) / ((96 + t)/60)
Hence, Average Speed = 60(k + 300)/ (96 + t)
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A cost that changes in total as output changes is a variable cost. a. True b. False
Answer:
a. True
Step-by-step explanation:
a. True
A cost that changes in total as output changes is indeed a variable cost. Variable costs are expenses that vary in direct proportion to the level of production or business activity. As output increases, variable costs increase, and as output decreases, variable costs decrease. Examples of variable costs include direct labor, raw materials, and sales commissions.
Will give brainliest
Answer:
I hope someone can help you :)
Step-by-step explanation:
BTW I can't see the image its white for me :( Sorry
Find a polynomial, which, when added to the polynomial
3x2 + 3x – 1, is equivalent to the following expressions. Make
a conclusion. Make up the rule.
1
Answer:
-3x^2-3x+2
Step-by-step explanation:
3x^2+3x-1+(-3x^2-3x+2)=1
3x^2+3x-1-3x^2+3x+2=1
please help with my math
Answer:
B.) \(6^{\frac{1}{2}}\)
Step-by-step explanation:
Use the exponent rule that states \(a^{\frac{1}{m}}=\sqrt[m]{a}\). For this problem, let
a=6
m=2
So,
\(\sqrt6=6^{\frac{1}{2}}\)
can you send some math sums under 13
Some of the math sums in which the result is under 13 are (5+2), (6+3), (7+5), etc.
According to the question,
We have the following information:
Math sums under 13
Now, we have to find mathematical expressions involving addition but the condition is that the result should be under 13.
Now, we know that we can have 2 or more than 2 numbers in sums but to make it easy we will have only two numbers.
Now, we will take some first numbers in some math sums to be 5, 6 and 7.
Now, the second digit can be found easily by subtracting the numbers from 13.
So, the digits should be less than the result we get.
13-5 = 8
So, it can be less than 8.
13-6 = 7
So, it can be less than 7.
In this way, we can take any digit less than these numbers.
Hence, some of the math sums in which the result is under 13 are (5+2), (6+3), (7+5), etc.
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