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Alinara [238K]
3 years ago
10

F(x) = -1/2x^2 + 3/2x - 2 I need to find the zeros​

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
4 0

Answer:

{-1, 4}

Step-by-step explanation:

In the given f(x) = -1/2x^2 + 3/2x - 2

set f(x) = 0 and then multiply all the numeric terms by -2 to remove the fractions:

f(x) = -1/2x^2 + 3/2x - 2 = 0  =>  1x^2 - 3x - 4 = 0  

This factors into (x - 4)(x + 1) = 0, whose roots are {-1, 4}.  These are the zeros.

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Which set of numbers is NOT in the solution set of the inequality x < 12?
pogonyaev

Answer:

D) {1,9,10,15,17}

Step-by-step explanation:

1, 9, and 10 are smaller than 12, however, 15 and 17 are not, therefore this is NOT a solution set to the inequality.

8 0
2 years ago
Consider the given function and the given interval.
docker41 [41]

Answer:

  (a)  fave = 8

  (b)  c = 64/9

  (c)   c ≈ 7.111

Step-by-step explanation:

(a) The average value of the function is its integral over the interval, divided by the width of the interval.

  f_{ave}=\displaystyle\frac{1}{16-0}\int_0^{16} {3x^{\frac{1}{2}}} \, dx=\left.\frac{x^{3/2}}{8}\right|_0^{16}=8

__

(b) We want ...

  f(c) = 8

  3√c = 8 . . . . . use f(c)

  √c = 8/3 . . . . . divide by 3

  c = (8/3)² . . . . square

  c = 64/9

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7 0
3 years ago
Your math teacher tells you that the next test is worth 100 points and contains 38 problems. Multiple-choice questions are worth
rusak2 [61]
If we assume that
x isthe number of multiple choice questions, and y is the number of word problems, we can write a system of equations like:
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If we multiply the first equation by -2 we get:
{ -2x-2y = -76
{ 2x + 5y = 100

Now if we add both equations we get only equation with 1 unknown (y) :

3y = 24 ⇒ y = 8

Substituting the calculated value to the first equation we get:

x + 8 = 38 ⇒ x = 30

The solution:
{ x = 30
{ y = 8

means that:
The test had 30 multiple choice questions, and 8 word problems.
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DaniilM [7]

Answer:

C. 4 X (3 + 8 – 6)

Step-by-step explanation:

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8 0
3 years ago
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