Answer:
Option A, -4
Step-by-step explanation:
<u>Step 1: Make an equation to represent the problem</u>
(-9)(x) = 36
<u>Step 2: Solve for x by dividing both sides by -9</u>
-9x / -9 = 36 / -9
x = -4
Answer: Option A, -4
Answer:
a. 28.8
Step-by-step explanation:
Using the theorem of similarity, the following equation can be generated:

Solve for x

Cross multiply


Divide both sides by 25
x = 28.8
Answer: 48÷4 = g
Step-by-step explanation:
Here is the complete question:
Dylan scored a total of 48 points in first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?
a. 48÷4=g
b. 4÷48=g
c. g÷4=g
d. 4÷g=48
The average number of points Dylan scores per game which has been represented by g will be the total points scored divided by the number of game played. This will be:
g = total point scored ÷ number of games played
g = 48 ÷ 4
Therefore, option A is the right answer.
Answer:
Option (C) and (D)
Step-by-step explanation:
Given piecewise function is,
f(x) = 2x, x < 1
5, x = 1
, x > 1
Option (A),
x = 5 means x > 1
So the function will be,
f(x) = 
f(5) = (5)²
= 25
Therefore, f(5) = 1 is not correct.
Option (B),
x = -2 means x < 1
f(x) = 2x will be applicable.
f(-2) = 2(-2) = -4
Therefore, f(-2) = 4 is not correct.
Option (C)
For x = 1,
f(1) = 5
Therefore, f(1) = 5 is the correct option.
Option (D)
x = 2 means x > 1 and the function defined will be,
f(x) = x²
f(2) = 2²
= 4
Therefore, f(2) = 4 will be the correct option.
Options (C) and (D) will be the answer.
Answer:

Step-by-step explanation:
In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;
4, 8, 12, 16, 20...80
The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d
a is the first term = 4
d is the common difference = 21-8 = 8-4 = 4
n is the number of terms
On substituting, Tn = 4+(n-1)4
Tn = 4+4n-4
Tn = 4n
The nth term of the series is 4n.
Since the last term is 80, L = 4n
80 = 4n
n = 80/4
n = 20
This shows that the total number of terms in the sequence is 20
According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80
, we are to take the sum of the first 20terms of the sequence. Using summation notation;
4 + 8 + 12 + 16 + 20+ . . . + 80 = 