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3 years ago

Find the inverse of the function. y = 2x2 –4

Mathematics

2 answers:

Orlov [11]3 years ago

6 0

Answer:

y = ± √(x+4)/2

Step-by-step explanation:

VashaNatasha [74]3 years ago

4 0

Answer:

(2÷2)+4

step by step explanation

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What is the perimeter of a rectangle with a length of 9-2y and width of 7

sweet [91]

Answer:

perimeter = 32-4y

Step-by-step explanation:

perimeter = 2(length +width)

5 0

3 years ago

Consider the rectangular prism below.

Radda [10]

Answer:

Option D

Step-by-step explanation:

Formula for the surface area of rectangular prism = 2(lb + bh + hl)

Here, l = Length of the prism

b = Width

h = Height

If l = 25 cm, b = 12 cm and h = 20 cm

Surface area of the rectangular prism = 2(25×12 + 12×20 + 20×25) cm²

Therefore, Option D will be the correct option.

4 0

3 years ago

Solve: 3 – 8x = -13 Please help

Gekata [30.6K]

Answer:

x=2

Step-by-step explanation:

7 0

3 years ago

Use the method of completing the square to solve x2 - 6x + 1 = 0. Simplify your solutions.

exis [7]

Answer:

x = 3 ± 2 $\sqrt{2}$

Step-by-step explanation:

given

x² - 6x + 1 = 0 ( subtract 1 from both sides )

x² - 6x = - 1

To complete the square

add (half the coefficient of the x- term)² to both sides

x² - 6x + (- 3)² = - 1 + (- 3)²

x² - 6x + 9 = - 1 + 9

(x - 3)² = 8 ( take the square root of both sides )

x - 3 = ± $\sqrt{8}$ = ± 2 $\sqrt{2}$ ( add 3 to both sides )

x = 3 ± 2 $\sqrt{2}$

8 0

3 years ago

Using long division to find the quotient, what changes do you first

lora16 [44]

Answer:

$\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4$

Step-by-step explanation:

Given

$Dividend = 125x^3 - 8$

$Divisor = 5x - 2$

Required

Determine the quotient

See attachment for complete process.

First, divide 125x^3 by 5x

$\frac{125x^3}{5x} =25x^2$

Write $25x^2$ at the top

Multiply $5x - 2$ by $25x^2$

$= 125x^3 - 50x^2$

Subtract from 125x^3 - 8

i.e.

$125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8$

Step 2:

Divide 50x^2 by 5x

$\frac{50x^2}{5x} = 10x$

Write $10x$ at the top

Multiply $5x - 2$ by $10x$

$= 50x^2 - 20x$

Subtract from 50x^2 - 8

i.e.

$50x^2 - 8 - (50x^2 - 20x) = 20x - 8$

Step 3:

Divide 20x by 5x

$\frac{20x}{5x} = 4$

Write $4$ at the top

Multiply $5x - 2$ by $4$

$= 20x - 8$

Subtract from 20x - 8

i.e.

$20x - 8 - (20x - 8) = 0$

Hence:

$\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4$

8 0

3 years ago