If f(x) = x^2 - 4(x) + 6, find x if f(x) = 27
Answers
Answer:
x = - 3 or x = 7
Step-by-step explanation:
Given
f(x) = x² - 4x + 6
If f(x) = 27, then equating gives
x² - 4x + 6 = 27 ( subtract 27 from both sides )
x² - 4x - 21 = 0 ← in standard form
Consider the factors of the constant term ( - 21) which sum to give the coefficient of the x- term ( - 4)
The factors are - 7 and + 3, since
- 7 × 3 = - 21 and - 7 + 3 = - 4, hence
(x - 7)(x + 3) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 7 = 0 ⇒ x = 7
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5 people share 3/4 lb candy slipt evenly
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B.10/35 and 7/35
C.7/35 and 5/35
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If the given line's equation is y = 6, then it is a horizontal line. Therefore, the parallel line must also be horizontal, and pass through (3, 4). In order for the line to pass through (3, 4), the y needs to be at 4, so the equation of the parallel line would be y = 4.
Hope this helps! :)
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4/8 is the number that's exactly in the perfect middle between 0 and 1.
It's distance from 0 and its distance from 1 are precisely the same.
Answers
John get paid in a week in which he makes 48 toy cars = $312
Step-by-step explanation:
Step 1 :
- Pay for each first 40 toy cars = $6
- Pay for each additional toy car = increase in 50% of $6
Step 2 :
50% of $6 = (50/100)$6 = $3
Pay for each additional toy car = (50% of $6) + $6
= $3 + $6 = $9
Step 3 :
Pay for total of 48 cars = pay for 1st 40 cars + pay for additional 8 cars
= $6(40) + $9(8)
= $240 + $72
Pay for total of 48 cars = $312
the quotient of a number and three.
Answers
Answer:
x ÷ 3 or
Step-by-step explanation:
Hi there! I'm glad I was able to help you out!
The word 'quotient' implies that we are dividing.
Let's call the unidentified number x, to keep things simple.
The quotient of x and 3 would look like this:
x ÷ 3
Or, it could look like this:
I hope this helped you! Comment below if you have any further questions! :)