The greatest common factor is the biggest number taken from the values.
Q1. The answer is <span>A. 5y^6
</span>
Since
, then
Back to our expression:
The greatest common factor is thus
Q2. The answer is <span>D. 12xy^2
</span>
We will use the rule
to factorise the exponents:
The greatest common factor is thus
The points on the red arc are points A and B
The measure of the red arc is 75 degrees
<h3>How to determine the measure of arc XYZ?</h3>
From the complete question, we have:
Angle DCE = 75 degrees
By vertical angles theorem,
Angle ACB = Angle DCE = 75 degrees
So, we have:
Angle ACB = 75 degrees
The measure of the red arc is the same as the measure of the angle ACB.
So, we have:
Red arc = 75 degrees
Hence, the measure of the red arc is 75 degrees
Read more about arc and chords at:
brainly.com/question/25871159
f(x)g(x) = 9x² + 10x - 16
<u>Step-by-step explanation:</u>
Step 1:
Given f(x) = 3x - 4 × 2 + 6x and g(x) = 5x + 2 × 2 - 3x
f(x) = 9x - 8
g(x) = 2x + 4
f(x)g(x) = (9x - 8)(2x + 4)
= 18x² + 36x - 16x -32
= 18x² + 20x - 32
= 9x² + 10x - 16
The number of customers served in the ice cream shop in June, July and August are 125, 25 and 250 customers respectively
<h3>How to write and solve equation?</h3>
let
- June = x
- July = x - 100
- August = 2x
- Total customers = 400
Total = June + July + August
400 = x + (x- 100) + 2x
400 = x + x - 100 + 2x
400 = 4x - 100
400 + 100 = 4x
500 = 4x
x = 500/4
x = 125
So,
June = x
= 125 customers
July = x - 100
125 - 100
= 25 customers
August = 2x
= 2(125)
= 250 customers
Learn more about equation:
brainly.com/question/2972832
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Answer:
C.
Step-by-step explanation:
We can off-the-bat eliminate choices A and B, because the first part of the quadratic formula is a -b. Therefore, the value for b in the quadratic has to be a positive, because the value in the formula is negative. This leaves us with choices C and D. If you look at the discriminant, you will see that our <em>a </em>in the quadratic formula is 3, so your answer choice is C.
