These tables represent a quadratic function with a vertex at (0,3). What is the
average rate of change for the interval from x = 7 to x = 8?
х
Interval
у
3
0
1
2
-1
-6
Average rate
of change
-1
1-2
-3
1-2
-5
1-2
-7
1-2
-9
1-2
-11
O to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
3
4
TTT
5
-13
-22
-33
6
Answers
Answer: -15
Step-by-step explanation:
The average rate of change for the interval from x = 7 to x = 8 is -15. The correct option is B.
What is quadratic function?A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.
Since the quadratic function has a vertex at (0,3), the equation for the function can be written in vertex form as:
y = a(x - 0)^2 + 3
Where "a" is a constant that determines the shape of the parabola. To find the value of "a", we can use one of the other points on the parabola. Let's use the point (1, 2):
2 = a(1 - 0)^2 + 3
Simplifying this equation, we get:
a = -1
So the equation for the quadratic function is:
y = -x^2 + 3
Now we can use this equation to find the average rate of change between x = 7 and x = 8. The value of the function at x = 7 is:
y = -7^2 + 3 = -46
The value of the function at x = 8 is:
y = -8^2 + 3 = -61
The average rate of change between x = 7 and x = 8 is:
(y2 - y1) / (x2 - x1) = (-61 - (-46)) / (8 - 7) = -15
Therefore, the average rate of change for the interval from x = 7 to x = 8 is -15.
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Which phrase describes how to divide a complex number z by r(cos θ + i sin θ)?
Scale by a factor of StartFraction 1 Over r EndFraction and rotate clockwise by θ.
Scale by a factor of r and rotate clockwise by θ.
Scale by a factor of StartFraction 1 Over r EndFraction and rotate counterclockwise by θ.
Scale by a factor of r and rotate counterclockwise by θ.
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Answer:
its a
Step-by-step explanation:
The phrase is Scale by a factor of 1 /r and rotate clockwise by θ.
What is complex number?Complex numbers are numbers that consist of two parts — a real number and an imaginary number.
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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You work at a frozen yogurt shap during the summer. You need to order 5-ounce and 8-ounce cups. The storage room will only hold 10 more boxes. A box of 5-ounce cups costs $100 and a box of 8-ounce cups costs $150, A maximum of $1200 is budgeted for yogurt cups. A. Write a system of linear inequalities that shows the number of boxes of 5-ounce and 8- ounce cups that could be bought. B. Graph the system. C. Name a combination of 5- and 8-ounces boxes of cups that could be bought.
Answers
Answer: 100f + 150e = 1250
Step-by-step explanation:
Subtract the 1st from the 2nd to solve for e:
50e = 250
e = 5 boxes (# of boxes of eight-once cups)
f + e = 10, so f = 5 boxes: (# of boxes of five-once cups)
6 boxes of 5-ounce cups and 4 boxes of 8-ounce cups could be bought.
Let x represent the number of box of 5-ounce cups and y represent the number of box of 8 ounce cups.
The room can only hold 10 more boxes, hence:
x + y ≤ 10 (1)
A maximum of $1200 is budgeted for yogurt cups. Hence:
100x + 150y ≤ 1200 (2)
Plotting the graph of the inequality, the solution is at (6, 4)
Therefore 6 boxes of 5-ounce cups and 4 boxes of 8-ounce cups could be bought.
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What is 9999 x 4568=
Answers
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Step-by-step explanation:
Answer:
Hey buddy, here is your answer hope it helps you..
Step-by-step explanation:
9999 x 4568=45675432
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Answers
Answer:
n=9
Step-by-step explanation:
7n+5=68 Subtract 5 on both sides.
-5 -5
7n=63 Divide both sides by 7.
/7 /7
n=9
Hope this helps! Have a nice day ^^
Answer:
n = 9
Step-by-step explanation:
1) Move similar terms to one side. Here we are moving the 5 over to the side with 68 by subtracting it. We also have to subtract 5 from the other side too (what you do to one side you must do to the other)
7n + 5 = 68
- 5 -5
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2) Isolate the variable. We do this by dividing the 7 from 7n. We also have to divide 7 from other other side too.
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
8 years
Step-by-step explanation:
The time period such that interest earned was $55.20 on an investment of $230 has a rate of 3% will be 8 years.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific time.
Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.
As per the given,
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It is known that.,
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Step-by-step explanation:
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Step-by-step explanation:
In order to combine the fractions, they need to have the same denominator.
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Answers
Answer:
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Step-by-step explanation:
Find 10% of 80 = 8
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Step-by-step explanation:
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Answers
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Answers
Answer:
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Step-by-step explanation:
Since you are solving for x, you want to isolate the variable. You do that by adding 11y to both sides, which cancels out the -11y. From that you should have z+11y = 5x. To cancel out the 5x you need to divide both sides by 5 to get z+11y/5 = x. Hope this helps :)
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Answers
Given:
Flour used to bake a cake = [tex]\dfrac{3}{5}[/tex] kg
He use [tex]\dfrac{1}{2}[/tex] kg less flour to bake some cookies.
To find:
The quantity of flour he used to bake the cookies.
Solution:
Mr. Alam use [tex]\dfrac{3}{5}[/tex] kg kg of flour to bake and cake and use [tex]\dfrac{1}{2}[/tex] kg less flour to bake some cookies.
Quantity of flour he used to bake the cookies is
[tex]\text{Required Flour}=\dfrac{3}{5}-\dfrac{1}{2}[/tex]
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[tex]=\dfrac{1}{10}[/tex]
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Answers
Answer: 3x - 8
Hope it helps!
Answer:
9 + 6 + 4 − 2 + 1 − 1 5
9x+{\color{#c92786}{6}}+4x-2x+{\color{#c92786}{1}}{\color{#c92786}{-15}}
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Give that,
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We need to find the speed of a train. The formula for speed of an object is equal to the total distance covered divided by total time taken. It can be given by :
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Answers
Answer:
g(-5) = -5
Step-by-step explanation:
You replace x with -5.
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Answer:
I think 25
Step-by-step explanation:
_3×_5+10
15+10
25
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Answers
[tex]\huge\boxed{x-2y=-6}[/tex]
Hey there! We can solve this problem by setting up the equation in slope-intercept form and changing it into standard form.
(I'm assuming that the problem meant the slope is [tex]\frac{1}{2}[/tex].)
[tex]\begin{aligned}y&=mx+b&&\smash{\Big|}&&\text{Start with slope-intercept form.}\\y&=\frac{1}{2}x+3&&\smash{\Big|}&&\text{Substitute in the known values.}\\-\frac{1}{2}x+y&=3&&\smash{\Big|}&&\text{Move the variables to the left.}\\x-2y&=-6&&\smash{\Big|}&&\text{Multiply everything by $-2$.}\end{aligned}[/tex]
Can you help with these problems please
Answers
Answer:
[tex]\boxed{y = m(x - x_{1}) + y_{1}}[/tex]
Step-by-step explanation:
[tex]if \: m = \frac{y- y_{1}}{x - x_{1}} \: the \: \boxed{y} \: sgivn \: by \to \\ y - y_{1} = m(x - x_{1}) \\ \boxed{y = m(x - x_{1}) + y_{1}}[/tex]
♨Rage♨
Check the picturee need helppp