Answer:
17
Step-by-step explanation:
f(x)= -2x+7
f(-5)= -2(-5)+7
10+7
f(-5)=17
Answer:CD = x = 4 units
Explanation:We are given that the two triangles are similar. This means that we can set the similarity proportionality as follows:

W e have:
BC = 20 - x
AC = 20
CD = x
CE = 5
Substitute in the above proportionality and solve for x as follows:

4x = 20 - x
5x = 20
x = 4
Based on he above:
CD = 4 units
BC = 20 - x = 20 - 4 = 16 units
Hope this helps :)
Answer:
C
Step-by-step explanation:
Increase is difference between ending and begining value so 23-(-8) =23+8.
In this case its absolute value because it has to be positive
Answer:
y = 1/4x -8
Step-by-step explanation:
First find the slope of the line
x-4y =3
Subtract x from each side
x-4y -x = -x+3
-4y = -x+3
Divide each side by -4
-4y/-4 = -x/-4 +3/-4
y = 1/4 x -3/4
This is in the form y= mx+b where the slope is m and the y intercept is b
The slope is 1/4
We want the same slope
y = 1/4x +b
we know the y intercept is -8
y = 1/4x -8
Answer:
The exponential model is
.
Step-by-step explanation:
The exponential model can be modelled by the following mathematical expression:
(1)
Where:
- Independent variable.
- Dependent variable.
- Coefficients.
If we know that
and
, then we get the following system of equations:
(2)
(3)
If we divide (3) by (2), we calculate the value of
:



And by (2), we determine the value of
:


The exponential model is
.