Answer:
The correct option is C. 14.
Step-by-step explanation:
First you have that the perimeter of a rectangle = (2·length) + (2·width)
⇒perimeter of a rectangle = [2·( x + 7)] + [2·(2x - 3)]
⇒ 32 = [2·( x + 7)] + [2·(2x - 3)] ⇒ 32 = (2x + 14) + (4x - 6)
⇒ 32 = 6x + 8 ⇒ 32 - 8 = 6x ⇒ 24= 6x ⇒ 24/6 = x ⇒ x = 4. ⇒ 3x= 12.
<span>y-3=-2(x-6)
y-3= -2x +12
y - 3 + 2x- 12 =0
2x+y =15,
Ax +By =C
A=2, B=1, C=15</span>
Answer: y=4x-5
Step-by-step explanation:
The slope of y=4x+23 is:4 m=4
The parallel line needs to have the same slope of 4
Solve it using the "point-slope" equation of a line: y− y1 = 2(x − x1)
substitute or put in the point (2,3):
y − (3) = 4(x − 2)
y - 3 = 4x - 8
put it in slope intercept form y = mx + b
y = 4x − 5
Answer:
g(x)= x+1
Step-by-step explanation:
Given ![f(x)= \sqrt[3]{x+2}](https://tex.z-dn.net/?f=f%28x%29%3D%20%5Csqrt%5B3%5D%7Bx%2B2%7D)
, ![f(x)= \sqrt[3]{x+3}](https://tex.z-dn.net/?f=f%28x%29%3D%20%5Csqrt%5B3%5D%7Bx%2B3%7D)
![f(g(x))= \sqrt[3]{x+3}](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D%20%5Csqrt%5B3%5D%7Bx%2B3%7D)
Replace x with g(x)
![f(g(x))= \sqrt[3]{g(x)+2}](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D%20%5Csqrt%5B3%5D%7Bg%28x%29%2B2%7D)
Now we need to find out what we plug in for g(X) to get x+3 under the radical
g(x) +2 is under the radical. we need x+3 , so we replace g(x) with x+`
So g(x)+2 becomes x+1+2 is x+3
Hence g(x) is x+1
Question is kind of worded weird. I am assuming it is 500 + 20X = total amount
