All categories

3 years ago

Which equation is the inverse of y = 100 – x2?

2 answers:

7 0

f−1(x)=√100−x,−√100−x

expeople1 [14]3 years ago

3 0

We replace y with x and x with y, and then we have:

$x=100-y^2$

Then we have $y = \sqrt{100-x}$

You might be interested in

I really don't know where to go with this. I just need help with it fast. because idk what I'm doing I'm giving max points.

kow [346]

Y=ax+b
a... slope
b... interception on the line y

you get the equation y=-1/2 *x + 12

6 0

3 years ago

Read 2 more answers

Solve each quadratic equation by completing the square. 6. x2 + 2x = 8 7. x2 - 6x = 16 8. x2 - 18x = 19 9. x2 + 3x = 3 10. x2 +

Andrei [34K]

Lets get started :)

These questions have asked us to solve by completing the square.
How do we? I have attached a picture, which will explain

6. x² + 2x = 8
→ b is the coefficient of x, which is 2
→ We take half of 2 and square it. Then, we add it to either side

x² + 2x $+ (\frac{2}{2} )^2 = 8 + ( \frac{2}{2})^2$
x² + 2x + 1 = 8 + 1
( x + 1 )( x + 1 ) = 9
( x + 1 )² = 9
$\sqrt{( x + 1 )^2} = \sqrt{9}$
x + 1 = + 3 or x + 1 = - 3
x = 2 or x = - 4

7. x² - 6x = 16

→ We do the same thing we did in the previous question

x² - 6x + $(\frac{6}{2})^2 = 16 + (\frac{6}{2})^2$
x² - 6x + 9 = 16 + 9
(x - 3)² = 25
$\sqrt{(x-3)^2} = \sqrt{25}$
x - 3 = + 5 or x - 3 = - 5
x = 8 or x = - 2

8. x² - 18x = 19

x² - 18x + $( \frac{18}{2} )^2 = 19 + ( \frac{18}{2})^2$
x² - 18x + 81 = 19 + 81
( x - 9 )( x - 9 ) = 100
( x - 9 )² = 100
$\sqrt{(x-9)^2} = \sqrt{100}$
x - 9 = + 10 or x - 9 = -10
x = 19 or x = - 1

9. x² + 3x = 3

x² + 3x + $( \frac{3}{2} )^2 = 3 + (\frac{3}{2} )$
$x^2 + 3x + \frac{9}{4} = 3 + \frac{9}{4}$
$x^{2} + 3x + \frac{9}{4} = \frac{21}{4}$
$(x^2 + \frac{3}{2} ) ( x^2 + \frac{3}{2} ) = \frac{21}{4}$
$( x^2 + \frac{3}{2} )^2 = \frac{21}{4}$
$\sqrt{ x^2 + \frac{3}{2} } = \sqrt{ \frac{21}{4} }$
x + $\frac{3}{2}$ = + $\frac{ \sqrt{21} }{2}$ or x + $\frac{3}{2} = - \frac{ \sqrt{21} }{2}$
x = $\frac{-3+ \sqrt{21} }{2}$ or x = $\frac{-3 - \sqrt{21}}{2}$

7 0

3 years ago

I need help with this now pls!!

zubka84 [21]

Answer:

first box 9.6 2nd box 7.2 third box 12

Step-by-step explanation:

9.6 is the missing height 12 is the hypotenuse is always last

6 0

3 years ago

Help!! I need these requirements for my argumentive essay topic "Do violent video games make people more likely to be violent in

Brums [2.3K]

Answer:

it'll be checked for plagiarism

6 0

3 years ago

Morgansville and newton are 2 miles apart. On map, the two cities are 7 inches apart. What is the map scale

lidiya [134]

7 inches per what per mile per foot what

3 0

3 years ago