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Ivan
3 years ago
7

Which of these three expressions are equivalent?

Mathematics
1 answer:
grin007 [14]3 years ago
8 0

Answer:

is this good?? i mean is it correct

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A dog trainer has 104 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclos
vova2212 [387]

Answer:

  36 ft by 16 ft

Step-by-step explanation:

To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.

The area is the product of length and width, so if w represents the width, we have ...

  w(52 -w) = 576

  w² -52w = -576 . . . . . eliminate parentheses, multiply by -1

  w² -52w +26² = 26² -576 . . . . . .  complete the square

  (w -26)² = 676 -576 = 100

  w = 26 ±√100 =  {16, 36}

If the width is the short dimension, it is 16 feet. Then the length is 36 feet.

5 0
3 years ago
If the domain of the function f(x)=2x2- 8is {-2, 3, 5}, then the range is
Simora [160]

Answer:

{0, 10, 42}

Step-by-step explanation:

<em>Domain is set of input values and range is set output values.</em>

For the function f(x) = 2x² - 8 and domain set of {-2, 3, 5}

<u>Range is:</u>

  • f(-2) = 2(-2)² - 8 = 0
  • f(3) = 2*3² - 8 = 10
  • f(5) = 2*5² - 8 = 42

<u>Range:</u> {0, 10, 42}

6 0
3 years ago
-4k^2-8k-3 = -3-5k^2
mel-nik [20]
-4k^2-8k-3 = -3-5k^2 \\ \\ -4k^2 - 8k = -5k^2 \\ \\ 4k^2 + 8k - 5k^2 = 0 \\ \\ -k^2 + 8k = 0 \\ \\ 8k - k^2 = 0 \\ \\ k(8 - k) = 0 \\ \\ k = 0,8 \\ \\

The final result is: k = 0, 8.
8 0
3 years ago
Read 2 more answers
Christina scored a certain number of goals, g, during a soccer season. Sarah scored twice as many goals during the same season.
Norma-Jean [14]
S=2g or y=2x because you are multiplying Christina score by two to get Sarah's score.
6 0
3 years ago
Divide:
Lunna [17]

Answer:

The quotient is 6.3, 45 does not go into 285 evenly, The quotient contains a repeating decimal

Step-by-step explanation:

285 ÷ 45 = 6.333333333333, not sure about this one, but I think it's right, and it is a repeating decimal.

5 0
3 years ago
Read 2 more answers
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