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harkovskaia [24]

3 years ago

14

Express it in slope form

1 answer:

rewona [7]3 years ago

7 0

Answer:

y=1/3x-4

Wish i could explain but i gtg

Step-by-step explanation:

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Need help with my homework

Volgvan

Answer:

$\displaystyle y=\frac{16-9x^3}{2x^3 - 3}$

$\displaystyle y=-\frac{56}{13}$

Step-by-step explanation:

<u>Equation Solving</u>

We are given the equation:

$\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}$

i)

To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.

We have to make it in steps like follows.

Cube both sides:

$\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3$

Simplify the radical with the cube:

$\displaystyle x^3=\frac{3y+16}{2y+9}$

Multiply by 2y+9

$\displaystyle x^3(2y+9)=\frac{3y+16}{2y+9}(2y+9)$

Simplify:

$\displaystyle x^3(2y+9)=3y+16$

Operate the parentheses:

$\displaystyle x^3(2y)+x^3(9)=3y+16$

$\displaystyle 2x^3y+9x^3=3y+16$

Subtract 3y and $9x^3$ :

$\displaystyle 2x^3y - 3y=16-9x^3$

Factor y out of the left side:

$\displaystyle y(2x^3 - 3)=16-9x^3$

Divide by $2x^3 - 3$ :

$\mathbf{\displaystyle y=\frac{16-9x^3}{2x^3 - 3}}$

ii) To find y when x=2, substitute:

$\displaystyle y=\frac{16-9\cdot 2^3}{2\cdot 2^3 - 3}$

$\displaystyle y=\frac{16-9\cdot 8}{2\cdot 8 - 3}$

$\displaystyle y=\frac{16-72}{16- 3}$

$\displaystyle y=\frac{-56}{13}$

$\mathbf{\displaystyle y=-\frac{56}{13}}$

8 0

3 years ago

If f(x) = 4x-x², find<br> square root f(3/2)

katrin [286]

Answer:

$\frac{\sqrt{15} }{2}$

Step-by-step explanation:

$\sqrt{f(\frac{3}{2} )$ , substitute $\frac{3}{2}$ to x

$f(\frac{3}{2} )=4(\frac{3}{2} )-(\frac{3}{2} )^2$ = $\frac{15}{4}$ or 3.75

$\sqrt{f(\frac{3}{2} )$ = $\sqrt{3.75}$ = $\frac{\sqrt{15} }{2}$

6 0

2 years ago

11. John puts a fence around his rectangular backyard. The width of his backyard is 10 feet. He

Lady_Fox [76]

Length = 20 ft

If he uses 60 ft of fencing to line his rectangular backyard, then the perimeter is 60 ft.

Perimeter formula is ((Width × 2) + (Length × 2))

10 × 2 = 20

20 × 2 = 40

40 + 20 = 60

4 0

3 years ago

Help me with these two questions thanks

umka2103 [35]

73747472626264747272636

7 0

3 years ago

Which linear function represents the line given by the point-slope equation y-8=

Nina [5.8K]

Answer:

$f(x)=x+4$

Step-by-step explanation:

we have

$y-8=(x-4)$

This is the equation of the line in point slope form

where

The slope is m=1

The point is (4,8)

Convert to slope intercept form

Isolate the variable y

Adds 8 both sides

$y-8+8=x-4+8$

Combine like terms

$y=x+4$

Convert to function notation

$f(x)=x+4$

5 0

4 years ago