Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Which equation represents the average of the x-intercepts for f(x) = 4x2 – 24x + 20? = –3 = –4 = 3 = 4
Answers
The equation that represents the average of the x-intercept is 3.
Option C is the correct answer.
What is an equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
f(x) = 4x² - 24x + 20
x-intercept is f(x) = 0.
Now,
4x² - 24x + 20 = 0
4(x² - 6x + 5) = 0
x² - 6x + 5 = 0
x² - (5 + 1)x + 5 = 0
x² - 5x - x + 5 = 0
x(x - 5) - 1(x - 5) = 0
(x - 1)(x - 5) = 0
x = 1 and x = 5
The average of x-intercept.
= (1 + 5)/2
= 6/2
= 3
Thus,
The average of the x-intercept equation is 3.
Learn more about equations here:
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Answer:
To get the x-intercepts of the function, f(x) = 4x2 – 24x + 20
It has to be equated to zero and the values of x are the x-intercepts. So,
4x2 – 24x + 20 = 0
The resulting equation is a quadratic equation which can be solved by different methods. The solution is
x = 5, 1
The average therefore is:
(1+5/)2 = 3
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The remainder obtained when x^4 + 3x^2 - 2x + 2 is divided by (x + b) is the square of theremainder obtained when x^2 – 3 is divided by (x + b). Find the values of b.
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What is the equation of the line that passes through (-6,-6) and (12,9)?
Answers
Answer:
5
5.7
7.1
6.9
Step-by-step explanation:
|4 - 9| = 5
|-3.1 + 8.8| = 5.7
|-7.1| = 7.1
|2.7 + 4.2| = 6.9
Answers
Answer:
Step-by-step explanation:
Let us translate it step by step:
m reduced by 3 is subtracting from m, therefore: m - 3
Then the quotient of that and 5 is the division or fractions of m-3 over 5:
That is the expression for the quotient of the quantity m reduced by 3 and 5.
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Y=Less than 200
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Answers
Answer:
all work is pictured and shown
Answers
Answer:
8 cm
Stepbystep:
To find area you multiply the length and width together. So 4x2=8
Luisa mows lawns during the summer. She charges $15 if she cuts the grass but charges $5 more if she also trims the grass. Last week she trimmed 5 more yards than she cut. If she made $415 last week, how many yards did she trim?
Answers
Answer:
315÷35=9
Step-by-step explanation:
5 extra yards had given her an extra $100, so the yards she cut, plus those she trimmed, had given her $315. To cut one and trim another one she takes $35. This means 9 yards were cut and 14 trimmed. (315÷35=9)
68.24 inches
B.
43.12 inches
C.
38.56 inches
D.
26 inches
Answers
Hope I helped in some way