Area(A)=192ft^2
Width (W)=?
Length (L)=3W
First we must find what the width and length are to find perimeter (P=2L+2W).
A=LxW
192=(3W)(W)
192=3W^2
192/3=3W^2/3
64=W^2
8=W can only use positive solution of 8 because distance is positive.
L=3W=3(8)=24
P=2L + 2W
P=2 (24)+2 (8)
P=48+16=64ft
Answer:
3.84x10 to the third
Step-by-step explanation:
.....
Answer:
g(x) = x²
The graph of g(x) is the same with the graph of f(x)
Step-by-step explanation:
* Lets explain how to solve the problem
- If the function f(x) reflected across the x-axis, then the new
function g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new
function g(x) = f(-x)
* Lets solve the problem
∵ The parent function f(x) = x² is represent by upward parabola
with vertex (0 , 0) (red graph in the attached picture)
∵ f(x) is reflected across the y-axis
- As the rule above reflection across the y-axis change the sign of x
∴ g(x) = f(-x)
∵ f(x) = x²
∴ g(x) = (-x)²
- Remember (-ve)^even number = (+ve)
∴ (-x)² = x²
∴ g(x) = x²
- The function g(x) is represent by upward parabola with vertex
(0 , 0) (black graph in the attached picture)
∴ The graph of g(x) is the same with the graph of f(x)
- The red graph and the black graph are coincide
Given:
monthly budget = 155.60
cost of movies = x
cost of video games = 2.5x
movies + vidgames < budget
x + 2.5x < 155.60
3.5x < 155.60 *expression of inequality
3.5x < 155.60
<u>÷3.5 ÷3.5</u>
x < 44.46
Travis should spend less than 44.46 on movies.
Assuming movie cost 44.
x + 2.5x < 155.60
44 + 2.5(44) < 155.60
44 + 110 < 155.60
154 < 155.60
Answer:
A y=5x
Step-by-step explanation:
We need to find the slope
Given the two point (0,0) and (2,10)
slope = m = (y2-y1)/(x2-x1)
=(10-0)/(2-0)
= 10/2
=5
The slope is 5
We know the y intercept ( where it crosses the y axis) is at 0
The equation of a line in slope intercept form is y= mx+b
y = 5x+0
y=5x