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4 years ago

Which function is the inverse of y=2/3x-6

Mathematics

2 answers:

musickatia [10]4 years ago

8 0

Answer: y=3/2x+9

Step-by-step explanation:

Dmitry_Shevchenko [17]4 years ago

7 0

Answer:

y = 3(x + 6)/2

Step-by-step explanation:

I'm assuming that you meant y = (2/3)x - 6.

If that's correct, start by interchanging x and y, obtaining:

x = (2/3)y - 6

Next, solve for y: (2/3)y = x + 6. Multiplying both sides of this equation by (3/2) isolates y, as desired, and results in:

y = 3(x + 6)/2. This is the inverse of y = (2/3)x - 6.

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A line passes through (-4,6) and (2,3) what is the slope of the line?

Kaylis [27]

Slope = (y2-y1)/(x2-x1)
Slope = (6 - 3)/(-4 - 2)
Slope = 3/-6
Slope = -1/2

Answer
-1/2

6 0

4 years ago

What method would be best to use 53=4(x-3)^2-11

Veronika [31]

Answer:

x = 7 , -1

Step-by-step explanation:

SOLUTION :-

$4(x-3)^2-11 = 53$

Add 11 to both the sides.

$=> 4(x-3)^2-11+11=53+11$

$=> 4(x-3)^2 = 64$

Divide both the sides by 4.

$=> \frac{4(x-3)^2}{4} = \frac{64}{4}$

$=> (x-3)^2 = 16$

Root square both the sides.

$=> \sqrt{(x-3)^2} = \sqrt{16}$

$=> x-3 = +4 \; or -4$

Here , x will have two values -

1) $x-3 = 4$

$=> x = 4 + 3 = 7$

2) $x - 3 = -4$

$=> x = -4 + 3 = -1$

VERIFICATION :-

When x = 7 ,

$4(x-3)^2 - 11 = 4(7 - 3)^2 - 11$

$= 4 \times 4^2 - 11$

$= 4 \times 16 - 11$

$= 64 - 11$

$= 53$

When x = -1 ,

$4(x-3)^2 - 11 = 4(-1 - 3)^2 - 11$

$= 4 \times (-4)^2 - 11$

$= 4 \times 16 - 11$

$= 64 - 11$

$= 53$

7 0

3 years ago

The base of a rectangular prism has a length of 8m and a width of 4 m if the volume is 64 cubic meters , what is the height of t

NeTakaya

Answer:

Step-by-step explanation:

Because 8x4 is 32 and 32x2 is 64 so it’s 2

8 0

3 years ago

Can someone please give me the right answer to this question please???

vagabundo [1.1K]

Answer:

x=87 degrees

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

Suppose that y varies inversely with x, and y = 2 when x = 4. What is an variation?

Alexeev081 [22]

Answer:

xy=8

Step-by-step explanation:

The equation for inverse variation is

xy = k where k is the constant of variation

4*2 = k

8=k

The equation is

xy=8

3 0

4 years ago