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olga nikolaevna [1]

3 years ago

10

Solve the system of inequalities by graphing 3x-y>-1 2x+y>5

1 answer:

Rina8888 [55]3 years ago

8 0

   3x - y > -1
3x - 3x - y > -1 - 3x
   -y > -1 - 3x
      y > 1 + 3x

   2x + y > 5
2x - 2x + y > 5 - 2x
   y > 5 - 2x

   1 + 3x > 5 - 2x
   <u>   + 2x + 2x</u>
   1 + 5x > 5
   <u>- 1 - 1</u>
   <u>5x</u> > <u>4</u>
      5    5
   x > 0.8
1 + 3(0.8) > 5 - 2(0.8)
   3(0.8) - y > -1
   2.4 - y > -1
   <u>- 2.4 - 2.4</u>
      -y > -3.4
   y > 3.4
   (x, y) > (0.8, 3.4)

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Svetlanka [38]

Answer:

$\sqrt[]{\frac{x+8}{4}}-3$

Step-by-step explanation:

$g(x)=4(x+3)^2-8$

First rewrite $g(x)$ as y

$y=4(x+3)^2-8$

Now swap y and x

$x=4(y+3)^2-8$

Add 8 on both sides.

$x+8=4(y+3)^2-8+8$

$x+8=4(y+3)^2$

Divide by 4.

$\frac{x+8}{4} =\frac{4(y+3)^2}{4}$

$\frac{x+8}{4}=(y+3)^2$

Extract the square root on both sides.

$\sqrt[]{\frac{x+8}{4}}=\sqrt[]{(y+3)^2}$

$\sqrt[]{\frac{x+8}{4}}=y+3$

Subtract 3 on both sides.

$\sqrt[]{\frac{x+8}{4}}-3=y+3-3$

$\sqrt[]{\frac{x+8}{4}}-3=y$

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3 years ago

Find the volume of the box in cubic inches.

LenKa [72]

｡☆✼★ ━━━━━━━━━━━━━━━ ☾

1 foot is 12 inches

Thus 2 feet is 24 inches

Substitute values into equation:

volume = 24 x 24 x 24

volume = 13824

Your answer is option D

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polet [3.4K]

It is given in the question that

$h(x) = (fog)(x) = x^2 -81$

And $x^2 -81$

can also be written as

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Therefore,

$(fog)(x) = (x^2 -40)-41$

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