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3 years ago

F(x)=3/2(x-2)^2-24 put this in standard form

Mathematics

1 answer:

gregori [183]3 years ago

6 0

Answer:

f(x) = 3x^2 - 12x - 36.

Step-by-step explanation:

f(x) =3 /2(x - 2)^2 - 24

f(x) = 3/2 (x^2 - 4x + 4) - 24

f(x) = 3/2 x^2 - 6x + 6 - 24

f(x) = 3/2 x^2 - 6x - 18

Multiply through by 2:

f(x) = 3x^2 - 12x - 36.

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What is the volume of the right rectangular prism? Enter your answer in the box.

Nutka1998 [239]

Answer:

1000 cm²

Step-by-step explanation:

Given:

Length = 10 cm
Width = 12.5 cm
Height = 8 cm

Formula:

$\text{Volume = Length} \times \text{Width} \times \text{Height}$

Substitute the length, width, and the height of the prism to determine the volume of the prism.

$\implies \text{Volume = 10} \times 12.5 \times 8$

Simplify the right hand side of the equation, as needed;

$\implies \text{Volume = 10} \times 12.5 \times 8$

$\implies \text{Volume =}\ 125 \times 8$

$\implies \boxed{\text{Volume =}\ 1000 \ \text{cm}^{2} }$

Therefore, the volume of the prism is 1000 cm².

7 0

2 years ago

Could someone answer this and explain an easier way to do this?

goblinko [34]

Answer:

Area of the figure = 109 cm. square

Step-by-step explanation:

The radius of the semi circle is 12 ÷ 2 = 6 cm.

Area of the semi circle = $\frac{1}{2}\pi(6^{2})=18\pi$

The radius of the quarter circle is 6 cm.

Area of the quarter circle = $\frac{1}{4}\pi(6^{2}=9\pi$

The area of the rectangle = 12 × 2 = 24

The area of the figure = 18π + 9π + 24 = 108.78 ≅ 109 cm. square

3 0

3 years ago

42 = -7 (z - 3) z = ?

liubo4ka [24]

Answer:

The answer to your question is z = -3

Step-by-step explanation:

Expand 42 = -7(z - 3)

42 = -7z + 21

Simplify 7z = -42 + 21

7z = -21

Clear z z = $\frac{-21}{7}$

z = -3

3 0

3 years ago

Read 2 more answers

Which of the following is true of vertex-edge graphs?

Finger [1]

The answer would be 2 they can all be solved

8 0

4 years ago

A movie ticket cost $8.20 in 2000. In 2015, it cost $10.65. What is the percent of increase?

Ganezh [65]

10.65/8.20= 1.30
1.30-1 ( for the 100% that was there)
.30 x100 (to get in percent)= 30 percent increase

5 0

3 years ago

F(x)=3/2(x-2)^2-24 put this in standard form​

F(x)=3/2(x-2)^2-24 put this in standard form