Answer:
x-intercepts are (-3,0) and (-4,0).
y-intercept is (0,12).
Step-by-step explanation:
x-intercept is a point where the value of y is zero.
y-intercept is a point where the value of x is zero.
Given equation is :
y=x²+7x+12
put x=0 in given equation to find y-intercept.
y=(0)²+7(0)+12
y= 0+0+12
y= 12
hence, y-intercept is (0,12).
put y=0 in given equation to find x-intercept.
0=x²+7x+12
split the middle term of above equation to make the equation into two groups such that the sum of two numbers should be 7 and their product be 12.
x²+3x+4x+12=0
making two groups and taking common out:
x(x+3)+4(x+3)=0
take (x+3) common,
(x+3)(x+4)=0
x+3=0 or x+4=0
x=-3 or x=-4
hence, x-intercepts are (-3,0) and (-4,0).
Answer:
The coordinates of G' are 
.
Step-by-step explanation:
From Linear Algebra, we define the dilation of point G by the following expression:
![G'(x,y) = O(x,y) + k\cdot [G(x,y)-O(x,y)]](https://tex.z-dn.net/?f=G%27%28x%2Cy%29%20%3D%20O%28x%2Cy%29%20%2B%20k%5Ccdot%20%5BG%28x%2Cy%29-O%28x%2Cy%29%5D)
(1)
Where:
- Center of dilation, dimensionless.
- Scale factor, dimensionless.
- Coordinates of point G, dimensionless.
- Coordinates of point G', dimensionless.
If we know that 
, 
, 
, then the point G' is:
![G'(x,y) = (0,0) + \frac{1}{3}\cdot [(-2,4)-(0,0)]](https://tex.z-dn.net/?f=G%27%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%20%5Cfrac%7B1%7D%7B3%7D%5Ccdot%20%5B%28-2%2C4%29-%280%2C0%29%5D)
The coordinates of G' are .
Answer:
The Loan with the lowest annual percentage rate (APR)
Answer: 13b + 43
You want to substitute the value of the variable into the equation and simplify it. When doing this, the answer is 13b + 43.
Step-by-step explanation:
Hope this helps =)
