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Answer: -4 (choice B)</h3>
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Explanation:
The table says that when x = 1, the output is y = -2.
So the point (1, -2) is on the parabola.
The table also says that point (3, -10) is on the parabola. We're focusing on this because x = 3 is the other endpoint.
Find the slope of the line through those two points. The slope here is the same as the average rate of change.
m = (y2 - y1)/(x2 - x1)
m = (-10 - (-2))/(3 - 1)
m = (-10 + 2)/(3 - 1)
m = -8/2
m = -4 is the slope, and therefore, the average rate of change from x = 1 to x = 3.
Answer: second option
Step-by-step explanation:
The standard form of a quadratic equation is:
![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
Then, to write the quadratic equation given in the problem in standard form, you must substract 1 from both sides of the equation. Then you have:
![2x^2+5x-1=0](https://tex.z-dn.net/?f=2x%5E2%2B5x-1%3D0)
Given the quadratic equation above, to find the value of
you must substitute:
a=2; b=5 and c=-1 into
Thenrefore, you obtain the following result:
![5^2-4(2)(-1)=33](https://tex.z-dn.net/?f=5%5E2-4%282%29%28-1%29%3D33)
Answer:
14.29
Step-by-step explanation:
Let p be the price of the cd
we take the price of the cd plus the tax and it must be less than or equal to 15
the tax is the price of the cd times 5 %
p + p*.05 ≤15
Combine like terms
p*1.05 ≤15
Divide each side by 1.05
p ≤15/1.05
p ≤14.28571429
Rounding to the nearest cent
p ≤14.29
The maximum price is 14.29
Answer:
it matches with table D
Step-by-step explanation:
(i think i'm sorry if i get you wrong)