Answer:
see explanation
Step-by-step explanation:
The vertex of f(x) = x² is at (0, 0)
To find the vertex of g(x) = x² - 8x + 7 ← in standard form
The x- coordinate of the vertex is
= - ![\frac{b}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7Bb%7D%7B2a%7D)
where a = 1 and b = - 8
= -
= 4
substitute x = 4 into the equation for corresponding y- coordinate
y = 4² - 8(4) + 7 = 16 - 32 + 7 = - 9
The vertex of g(x) is at (4, - 9)
thus (0, 0) → (4, - 9) is 4 units right and 9 units down → option C
Answer:
The volume is 3825 cubic units
Step-by-step explanation:
To find the volume of the fish tank multiply out the dimensions.
We were given the dimensions as:
![24 \times 12 \frac{1}{2} \times 12 \frac{3}{4}](https://tex.z-dn.net/?f=24%20%5Ctimes%2012%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%2012%20%5Cfrac%7B3%7D%7B4%7D%20)
Change the numbers to improper fractions
![24 \times \frac{25}{2} \times \frac{51}{4}](https://tex.z-dn.net/?f=24%20%5Ctimes%20%20%5Cfrac%7B25%7D%7B2%7D%20%20%5Ctimes%20%5Cfrac%7B51%7D%7B4%7D%20%20)
We cancel out to get
![3 \times 25 \times 51](https://tex.z-dn.net/?f=%203%20%5Ctimes%2025%20%5Ctimes%2051)
![3825](https://tex.z-dn.net/?f=3825)
2x(3+x)-6
6x+2x^2-6
2x^2+6x-6
Answer:
C
Step-by-step explanation:
Square root of 290: Use calculator OR estimate
17^2=289