Answer:
<u>y=5x+7</u>
<u>or</u>
<u>f(x)=5x+7</u>
Step-by-step explanation:
Slope (m) = 5
Y-intercept (b) = 7
Using the equation y=mx+b, you can find m and b to make y=5x+7.
Steps:
(1, 12) (2, 17) formula: y2-y1 / x2-x1 = m
17-12= 5
2-1 = 1
5/1=5
m=5
12=5(1)+b
12=5+b
7=b
17=5(2)+b
17=10+b
7=b
<u>Answer: y=5x+7</u>
<u>or</u>
<u>f(x)=5x+7</u>
<span>5x + 20 = -5x
5x + 5x = -20
10x = -20
x = -20/10
x = -2</span>
Answer:

Step-by-step explanation:
We are given the following information in the question.
The open interval: (- 18,22).
Let p belong to the given interval then p represents all the values belonging to the given interval.
Open Interval: An open interval is a interval that does not include the end points.
Thus, we can write:

is the required inequality form required.
That is p can take values greater than -18 and smaller than 22.
Answer:
-3+15i
Step-by-step explanation:
Apply complex arithmetic rule: 

-3 * 3 -3 (-2) = -3

Answer:
The ratio is 3:8
Step-by-step explanation:
The circumference of a circle can be calculated using the formula;
C = 2 * pi * r
for 9 inches;
C = 2 * pi * 9 = 18 pi inches
For 24 inches;
C = 2 * pi * 24 = 24 pi inches
The ratio is thus;
18 pi : 48 pi
divide through by 6 pi
= 3: 8