All categories

1 year ago

Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?

Mathematics

1 answer:

Scrat [10]1 year ago

5 0

The inverse of an equation is the opposite of the equation

The inverse of the function is $y =2 \pm \sqrt{28 + 4x$

<h3>How to determine the inverse of the function </h3>

The equation is given as:

$2(x - 2)^2 = 8(7 + y)$

Divide both sides of the equation by 2

$(x - 2)^2 = 4(7 + y)$

Open the bracket

$(x - 2)^2 = 28 + 4y$

Take the square roots of both sides

$x - 2 = \pm\sqrt{28 + 4y$

Add 2 to both sides

$x =2 \pm \sqrt{28 + 4y$

Swap the occurrences of x and y

$y =2 \pm \sqrt{28 + 4x$

Hence, the inverse of the function is $y =2 \pm \sqrt{28 + 4x$

Read more about inverse functions at:

brainly.com/question/8120556

You might be interested in

find the perimeter when 96 triangles are put together in the pattern shown below. Assume that all triangle sides are 1 cm long.

Vikentia [17]

The perimeter when 96 triangles are put together in the pattern shown below will be 98cm

Find the required triangle attached

In the diagram shown, we can see that we have 5 triangles.

The first thing we need to do is add one more triangle to have, six triangles,

Perimeter of the resulting 6 triangles = 6 + 2 = 8cm

For 8 triangles;

Perimter = 8 + 2 = 10cm

For "n" triangles;

Perimeter of n triangles = n + 2

Hence if 96 triangles are put together in the pattern shown below, hence

n = 96

Perimeter of the 96 triangles = 96 + 2

Perimeter of the 96 triangles = 98 cm

Hence the perimeter when 96 triangles are put together in the pattern shown below will be 98cm

Learn more here: brainly.com/question/13362349

4 0

3 years ago

A fisherman can

viva [34]

Answer:

4 [miles].

Step-by-step explanation:

1) the condition 'the entire trip took 5 hours' can be written as (where t_us - time spent upstream, t_ds - time spent downstream)

$t_{us}+t_{ds}=5;$

2) but the distance [D] upstream is equal the distance downstream, then the condition above can be written:

$\frac{D}{V_{us}} +\frac{D}{V_{ds}} =5; \ (V_{us}-rowing \ upstream,V_{ds}-rowing \ downstream);$

3) finally,

$D=\frac{5V_{us}*V_{ds}}{V_{us}+V_{ds}};$

D=5*4/5=4 [miles].

5 0

1 year ago

The southward translation of the rose garden is along which axis? What integer represents a change of four yards south?

Sphinxa [80]

Going south means you're going in the negative direction along the y axis

Going 4 yards south would be represented as -4 on the y axis number line (this is the vertical number line)

3 0

3 years ago

16 inches to centimeters

asambeis [7]

Answer:

In centimeters, it would be 40.64 centimeters.

7 0

3 years ago

Read 2 more answers

Please, someone, help with this question. This is my last question.

Leya [2.2K]

Answer:

4.43 inches

Step-by-step explanation:

The volume of the hot tub is

V = l*w*h

We are given the volume in gallons which we need to convert to cubic inches

1 gallon = 231 in^3

350 gallons *231 in ^3/1 gallon = 80850 in ^3

Substituting in what we know, we can find the height of the tub

80850 = 76*60 *h

17.76026316 is the height of the tub

If the tub is 1/4 full

We take 1/4 of the height

1/4 * 17.76 = 4.432565789

The approximate height of the water is 4.43 inches

3 0

3 years ago