Answer:
-6
Step-by-step explanation:
g(f(x))= 2(x-7)
g(f(x))= 2x-14
plug in 4 for x
g(f(4))= 2×4-14
g(f(4))= 8-14
g(f(4))= -6
Can you take a picture of the shape
Answer:
y=5/3x+7/3
Step-by-step explanation:
Here are the points: (1,4) and (-2, -1)
let's first find the slope, which is with the equation m=(y2-y1)/(x2-x1) (m is the slope)
label the points:
x1=1
y1=4
x2=-2
y2=-1
now subsitute into the equation
m=(-1-4)/(-2-1)
m=-5/-3
m=5/3
the slope of the line 5/3
Here's the equation so far:
y=5/3x+b (b is a place holder)
we can substitute either one of the points into the equation so far to find b, because the line will pass through both of them>
let's use (1,4) as an example
4=5/3(1)+b
4=5/3+b
subtract 5/3 from both sides
7/3=b
Now, put it all together:
y=5/3x+7/3
Hope this helps!
Answer:
<em>4,524 gallons</em>
Step-by-step explanation:
The volume of any cylinder is
π (radius)² (height) .
The pool's radius is 1/2 its diameter = 8 ft. So its volume is
π (8 ft)² (3 ft)
= π · (64 ft²) · (3 ft)
= π · 192 ft³
= 603.2 ft³ .
(603 ft³) · (7.5 gal / 1 ft³) = 4,524 gallons
Hope this helps :D
