The new points are:
P' (-3, 0)
F' (1, 2)
D' (0, -2.5)
The shape is being transformed with a dilation of a scale factor of 1/2. This means that we take the given points and multiply them by 1/2 to find the new points.
Look on the graph for the current points and multiply each one by 1/2. You will have the new points.
Answer:
y=7x+4
Step-by-step explanation:
slope- intercept form is y=mx+c
m=7
so y=7x+c
substitute (0,4) into y=7x+c
so 4=(7x0)+c
c=4
so y=7x+4
Answer:

Step-by-step explanation:
**This is a non-linear function and therefore <u>does not have a constant rate of change</u>. It will have a different slope depending on what points you use in the average rate of change formula:
To calculate rate of change, differentiate.
substitute y for
:

Take natural logs of both sides:

Apply the log rule
:

Differentiate with respect to
:

Mulitply both sides by
:

Replace
with 

Therefore, rate of change of the function is :

Answer:
(1.25, - 5 )
Step-by-step explanation:
Given the 2 equations
- 4x + 3y = - 20 → (1)
4x + 2y = - 5 → (2)
Adding the 2 equations term by term will eliminate the x- term
5y = - 25 ( divide both sides by 5 )
y = - 5
Substitute y = - 5 into either of the 2 equations and solve for x
Substituting into (2)
4x + 2(- 5) = - 5, that is
4x - 10 = - 5 ( add 10 to both sides )
4x = 5 ( divide both sides by 4 )
x =
= 1.25
Solution is (1.25, - 5 )
Answer:

Step-by-step explanation:
put them both in exponential form and then since they are both base 6, you can add the exponents.
