Answer: The vertex of the parabola (quadratic function) is (-2,-4)
Fourth option: (-2,-4)
Solution:
y=x^2+4x
y=ax^2+bx+c; a=1, b=4, c=0
Vertex: V=(h,k)
h=-b/(2a)
h=-4/(2(1))
h=-4/2
h=-2
y=x^2+4x
k=y=h^2+4h
k=(-2)^2+4(-2)
k=4-8
k=-4
Vertex: V=(h,k)
Vertex: V=( -2, -4)
To find the area, we have to use the F.O.I.L. method to solve (3x-2)*(4x-7)
-> 12x^2-21x-8x+14
= 12x^2 - 29x + 14
So the area of the rectangle would be 12x^2 - 29x + 14.
<span>Hope this helps. If you have any questions, place it in the comment section below.</span>
Option C
The football team had a overall loss of 2 yards
<em><u>Solution:</u></em>
When the team gains yards we use a positive value, and when the team loses yards we use a negative value.
<em><u>Given that, football team gains 2 yards on the first play</u></em>
First play = +2
<em><u>Given that football team loses 5 yards on the second play</u></em>
Second play = -5
<em><u>Given that football team loses 3 yards on the third play</u></em>
Third play = -3
<em><u>Given that football team gains 4 yards on the fourth play</u></em>
Fourth play = +4
Put the yards from four plays together, we get
⇒ 2 -5 -3 + 4
Let us simplify
⇒ -3 -3 + 4 = -6 + 4 = -2
So, -2 represents loss of two yards (since negative value indicates loss)
Answer:
6 =k
Step-by-step explanation:
Given the equation for inverse variation
xy = k
We know x=-3 and y = -2
Substituting these values in
(-3) (-2) = k
6 =k
Lets assume, Sally has X pound of potatoes in her pantry.
So, 4/3 of the potatoes Sally has in her pantry = ![\frac{4}{3}X](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7DX%20%20)
Now, Sally needs 2/3 pound of potatoes and this 2/3 pound of potatoes is 1/3 pound more than that ![\frac{4}{3}X](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7DX%20%20)
So the representing equation will be:
(subtracting
from both sides)
![\frac{1}{3}= \frac{4}{3}X](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%3D%20%5Cfrac%7B4%7D%7B3%7DX%20%20)
(multiplying both sides by 3)
So, Sally has
pound of potatoes in her pantry.