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Greeley [361]
3 years ago
14

What is the answer for this one ??

Mathematics
1 answer:
Arisa [49]3 years ago
5 0

Answer: D

Step-by-step explanation:

A. 3 + -7 < -4

    -4 < -4

        X

    this one isn’t a solution

B. 3 + -7 ≤ -4

   -4 ≤ -4

   this works, let’s try the other equation

   3(3) + 2(-7) < -5

    9 + -14 < -5

     -5 < -5

       X

     this one doesn’t work either, let’s go on to the next one

C. the first equation is the same as the first one in A, and that didn’t work, so we know that the whole thing doesn’t work and we don’t have to do any math

D. we know the first equation works because we did it in B

    let’s go on to the second equation

    3(3) + 2(-7) ≤ -5

     9 -14 ≤ -5

     -5 ≤ -5

      this works, so that means that both equations work and the whole thing works :)

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NNADVOKAT [17]
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The graph represents the piecewise function
mr Goodwill [35]

The piece-wise function is defined as follows:

  • f(x) = x^2, 0 \leq x < 3.
  • f(x) = -\frac{5}{3}x + 14, 3 < x \leq 6.
  • f(x) = \frac{3}{2}x - 5, 6 \leq x \leq 10.

<h3>What is a piece-wise function?</h3>

A piece-wise function is a function that has multiple definitions, depending on the input.

In this graph, for x at least 0 and less than 3, the parabolic curve passes through (0,0), (1,1), (2,4) and has an open interval at (3,9), hence the definition is:

f(x) = x^2, 0 \leq x < 3

For x greater than 3 and at most 6, it is a line going through (3,9) and (6,4), hence:

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9 = -\frac{5}{3}(3) + b

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So

f(x) = -\frac{5}{3}x + 14, 3 < x \leq 6

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m = \frac{10 - 4}{10 - 6} = \frac{6}{4} = \frac{3}{2}

Then:

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10 = \frac{3}{2}(10) + b

10 = 15 + b

b = -5.

Hence:

f(x) = \frac{3}{2}x - 5, 6 \leq x \leq 10

More can be learned about piece-wise functions at brainly.com/question/24734454

#SPJ1

6 0
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