Answer:
D. x = 0.5
Step-by-step explanation:
A graphing calculator is the quickest way to get to an answer here.
f(x) = g(x) for x = 0.5
__
We can find the y-intercepts of the two functions to be ...
f(0) = -3
g(0) = -2
We know the x-intercept of g(x) is x=4. The x-intercept of f(x) will be a value less than 1, because f(1) = 1. (The function crosses the x-axis between x=0 where f(x) < 0 and x=1, where f(x) > 0.)
Considering these intercept points, we know the value of x for f(x)=g(x) will be between x=0 and x=1. There is only one answer choice in that interval:
x = 0.5
Answer:
option D. 126 cm
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
Triangles PQR and XYZ are similar by AA Similarity Theorem
so

Let
z ---> the scale factor

substitute the given values

step 2
Find the perimeter of triangle XYZ
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z ----> the scale factor
p_1 ----> the perimeter of triangle XYZ
p_2 ---> the perimeter of triangle PQR
so

The perimeter of triangle PQR is

we have

substitute


therefore
The perimeter of triangle XYZ is 126 cm
Answer:
2 is the answer to your question
So 5 days m-f
6x5=30 hours
Add the 3.5 from Saturday
33.5. To figure out how much on Sunday you subtract the total from the goal (40)
40-33.5=6.5 hours on sunday