Answer:
Option D. 9
Step-by-step explanation:
There are two ways to obtain the answer to the question.
Method 1:
Let 2x + 1 = 0
Making x the subject, we have
2x + 1 = 0
Collect like terms
2x = –1
Divide both side by 2
x = –1/2
Now, put the value of x into the expression 4x³ – 6x² – 8x + 7, we have:
4x³ – 6x² – 8x + 7
x = –1/2
4(–1/2)³ – 6(–1/2)² – 8(–1/2) + 7
4(–1/8) – 6(1/4) – 8(–1/2) + 7
–1/2 – 3/2 + 4 +7
– 4/2 + 4 + 7
– 2 + 4 + 7
= 9
Method 2:
Divide 4x³ – 6x² – 8x + 7 by 2x + 1
Please see attached photo for explanation.
From the function y=x^2-4x+7
to complete the square we proceed as follows:
The vertex form is given by:
y=(x-h)^2+k
where (h,k) is the vertex:
thus from the function we shall have:
y=x^2-4x+7
c=(b/2a)²
c=(4/2)²=4
thus adding an subtracting 4 in the expression:
y=x^2-4x+4-4+7
y=(x-2)^2+3
thus the vertex will be:
(2,3)
The answer is:
<span>D. Minimum at (2, 3)</span>
The total amount of money Ethan made in a week including commission is $812.5
<h3>Total income</h3>
- Total sales for the week = $1250
- Base salary = $500
- Percentage commission = 25%
Amount of commission earned = 25% of $1250
= 25/100 × $1,250
= 0.25 × 1250
= $312.5
Total earnings = Base salary + Amount of commission earned
= $500 + $312.5
= $812.5
Learn more about income:
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Answer:
y = 2x^2 - 12x + 27
Step-by-step explanation:
<u>Step 1: Distribute the power</u>
y = 2(x - 3)² + 9
y = 2(x^2 - 6x + 9) + 9
y = 2x^2 - 12x + 18 + 9
y = 2x^2 - 12x + 27
Answer: y = 2x^2 - 12x + 27
Answer:
2apply.
Step-by-step explanation: