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Ugo [173]
2 years ago
14

What is the answer to this?

Mathematics
1 answer:
alexdok [17]2 years ago
6 0

Answer:

  1. x < 2.5
  2. x > 2.5

Step-by-step explanation:

One way to do this is to try a number for x and see if it makes the inequality true. A suitable number here is x=0. This value of x is less than 2.5.

<h3>1.</h3>

For x=0, you have ...

  5 > -5 . . . . . true; the solution space is x < 2.5

__

<h3>2.</h3>

For x=0, you have ...

  -25 > -5(2.5)

  -25 > -12.5 . . . . . false; the solution space is x > 2.5

_____

<em>Alternate solution</em>

<h3>1.</h3>

Subtract 5:

  -4x > -10

Divide by -4

  x < 2.5

__

<h3>2.</h3>

Divide by -5:

  5 < x +2.5

Subtract 2.5

  2.5 < x

  x > 2.5

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Answer:

  • width: 18 in
  • length: 27 in

Step-by-step explanation:

The relations between length (L) and width (W) are ...

  W +9 = L

  LW = 486

Substituting gives ...

  (W+9)W = 486

  W^2 +9W -486 = 0 . . . put in standard form

  (W +27)(W -18) = 0 . . . . factor

  W = 18 . . . .  the positive solution

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_____

<em>Comment on factoring</em>

There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.

486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.

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3 years ago
Find the domain and range of the exponential function h(x) = 125 x
NARA [144]
Domain is all real numbers.
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                              S = (8π) x (72 / 360) = 0.8π 
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Step-by-step explanation:

A. 5x=12x-14

you will  simplify the equation to the form, which is simple to understand  

5x=12x-14

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We simplify left and right side of the equation.  

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x=2

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you will  move all terms to the left:

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you will  move all terms containing B to the left, all other terms to the right

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Answer:

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