All categories

3 years ago

Which equation is the inverse of y = 7x2 – 10?

Mathematics

2 answers:

MrRissso [65]3 years ago

8 0

we have

$y=7x^{2}-10$

To find the inverse

Step 1

Exchanges the variables, x for y and y for x

$x=7y^{2}-10$

Step 2

Isolate the variable y

$x=7y^{2}-10$

$7y^{2}=x+10$

$y^{2}= \frac{x+10}{7}$

Square Root both sides

$y=(+/-)\sqrt{\frac{x+10}{7}}$

Step 3

Let

$f(x)^{-1}=y$

$f(x)^{-1}=(+/-)\sqrt{\frac{x+10}{7}}$

therefore

the answer is

The inverse is

$f(x)^{-1}=(+/-)\sqrt{\frac{x+10}{7}}$

slavikrds [6]3 years ago

4 0

Y=±√x+10
 --------
7
and that is the inverse of y=7x2-10

You might be interested in

The Sun is roughly 10^2 times as wide as the Earth. The Star KW Sagittarii is roughly 10^5 times as wide as the Earth. About how

Studentka2010 [4]

Answer:

1000 times

Step-by-step explanation:

Given:

The Sun is roughly 10^2 times as wide as the Earth.

The Star KW Sagittarii is roughly 10^5 times as wide as the Earth.

Question asked:

About how many times as wide as the Sun is KW Sagittarii?

Solution:

Let the width of the earth = $x$

As the Sun is roughly 10^2 times as wide as the Earth, hence the width of the sun = $x\times10^{2}$

And as the Star KW Sagittarii is roughly 10^5 times as wide as the Earth, hence the width of the Star = $x\times10^{5}$

Now, to find that how many times width of the Star KW Sagittarii is as respect to the width of the Sun, we will simply divide:

Width of the Star KW Sagittarii = $x\times10^{5}$

Width of the Sun = $x\times10^{2}$

$\frac{x\times10^{5} }{x\times10^{2} }$

x canceled by x

$\frac{10^{5} }{10^{2} } =10^{5-2} =10^{3} =10\times\ 10\times10=1000$

Therefore, Star KW Sagittarii is 1000 times wider than Sun.

First of all we calculated width of Sun in terms of width of earth and then calculated the width of the Star in terms of earth and for comparison we did simple division that showed that the Star KW Sagittarii is 1000 times wider than the Sun.

4 0

3 years ago

Whst is 15 divided by 6 2/3 equals

PolarNik [594]

First you make 15 a fraction by putting it over 1.
Then you make 6 2/3 a mixed fraction.
To do this, you multiply 6 with 3 and add 2 to it. Then you put the number over 3.
We get
6 X 3 = 18
18 +2 = 20
20/3

Now, we divide 15/1 with 20/3.
When we divide it, we actually cross multiply it. Basically, we flip the fraction and multiply it.

So we get 15/1 X 3/20 = $\frac{15 X 3}{1 X 20}$ .

We get 45/20 which can be simplified to 9/5 which can be simplified to 2 1/4.

So the answer is 9/4 or 2 1/4.

5 0

2 years ago

Read 2 more answers

Enter an algebraic expression to model the given context. Give your answer in simplest form. The original price p of an item les

ra1l [238]

Answer:

Step-by-step explanation:

Let

Original price = p

Less Discount = 20%

Total discount paid for the item = 20% of p

= 20/100 * p

= 0.2 * p

= 0.2p

Actual price after discount = 100% - 20%

= 80%

Total price paid for the item = 80% of p

= 80/100 * p

= 0.8 * p

= 0.8p

6 0

3 years ago

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (12,5) lies on

anastassius [24]

Find the values of the six t

6 0

3 years ago

?? please help a dude out

finlep [7]

Tis so easyAnswer:

1:> 2:< 3>

Step-by-step explanation:

7 0

2 years ago