Mathematics High School

find the inverse of

f(x) = -6xˆ2 + 24x - 100

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

y = -6x^2 + 24x-100

solve for 'x'

y + 100 =   -6x^2 + 24x   = -6(x^2-4x)    complete the square for x

(y+100) /(-6 ) =    (x-2)^2 -4                     add 4 to both sides

(y+100)/(-6) +4   = (x-2)^2                       sqrt both sides

sqrt [  ( y+100)/(-6) + 4  ]  + 2 = x           change  x and y

y = ± sqrt [ (x+100)/(-6) + 4 ] + 2            simplify (if needed)

y  = ± sqrt( -x/6 -12.666)  + 2

Related Questions

The shadows of two vertical poles were measured at the same time to be 6m and 15m long. If the first pole is 8cm long, find the height of the second pole

Answers

Answer:

20 cm

Step-by-step explanation:

Shadow of vertical poles : 6m ; 15m

Length of poles : 8cm ; h

8cm long pole = shadow length, 6m

h cm long pole = shadow length, 15 m

Using cross multiplication :

8cm * 15 m = h cm * 6m

120 = 6h

h = 120 / 6

h = 20 cm

Height of second pole = 20cm

yo 20 points! pls help me out

Answers

Answer:

the top one would be -40x+24, bottom one is x=12

Step-by-step explanation:

uwu

Answer:

a. -40x + 24

b. x = 4

Step-by-step explanation:

-8 * 5x = 40x, -8 * -3 = 24

-5 * -x = 5x

-5 * 4 = -20

40 - 20 = 20

20/5 = 4

Help me plsssssssssssssssssssssssssssssssssss

Answers

Answer:

One inch would represent 100 miles

Answer: 1 inch is 100 miles

Step-by-step explanation:

1/4 times 4 is 1 right so 25*4=100

3. Use distributive property to simplify
a. (-6) * [(-12) + (25)]
C. (+6) * [(-17) + (+28)]
e. (+7) * [(-12) – (+6)]
Solve this answer with solution please ​

Answers

Answer:

see the answers

Step-by-step explanation:

to understand thisyou need to know about:PEMDAStips and formulas:

orders of PEMDAS:

parenthesesexponentmultiplication ordivisionaddition orsubstractionleft to rightlet's solve:

a)

remove first parentheses and add: -6×[-12+26] =-6×[14]remove third parentheses and multiply:-6×14=-84

c)

remove first parentheses and add:(6)×[-17+28]=6×[11]remove third parentheses and multiply: 6×11=66

e)

remove first parentheses and substract:7×[-12-(6)]=7×[-12+(-6)]=7×[-18] multiply:7×[-18]=-126

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Answers

Answer:

Step-by-step explanation:

A,B and D

PLEASE HELP ASAP! What is the slope of the line graphed below?
​

Answers

answer: the slope is 2 (D)

Answer:

6/3 simply so 2 your slope is 2

Step-by-step explanation:

Four students are reading books with different numbers of pages. The table shows the number of pages each student has read. Drag each name to order the students from the lowest percentage of their book read to the highest percentage of their book read. Pages Read Total Number of Pages Elliot 105 175 = Elliot Frankie 165 300 Hayden 88 220 = Frankie Ruth 117 260 = Hayden = Ruth​

Answers

Answer:

i think is 434.54

Step-by-step explanation:

Answer:

434.54

Step-by-step explanation:

Need help ASAP giving 55 points and a branlist

Answers

Answer:

There are 54 squares on a rubix cube

Step-by-step explanation:

each side has 9 squares, and there are 6 sides, so you multiply 9x6 wich equals 54, so your answer would be

54 squares

Hope this helps! :)

A water tank holds 1,088 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds
1,360 gallons but is leaking at a rate of 9 gallons per week. After how many weeks will the amount of
water in the two tanks be the same?
The amount of water in the two tanks will be the same in
weeks.

Answers

The first tank hold 1088 - 5t gallons of water after t weeks, while the seocnd tank holds 1360 - 9t gallons after t weeks.

Both tanks hold the same amount of water when

1088 - 5t = 1360 - 9t

Solve for t :

4t = 272

t = 68

So the tanks will hold the same amount of water after 68 weeks.

please help I have an hour to complete

Answers

Answer:

proportional

:)

Ron purchases $32,000 worth of stock on his brokers advice and pays his broker a 1.25% broker fee. How much did he pay his broker! Show work please !!

Answers

Ron would have to pay his broker $400 because 1.25 percent of 32,000 is 400
32000 x 0.0125 = 400

Need help!!!! ahaaaaaa

Answers

Answer:

Not sure if I am right but this is what I did. I have attached a picture of me solving the equation. Hope this helps, thank you !!

Whos your favorite character from Miraculous Ladybug?! mines Alya and of course cat noir he kinda cute

Answers

Answer:

CAT NOIR

He's cool and my cousin's fav characters LOL

Step-by-step explanation:

um, he's cool i guess?

Answer:

I like Mari and Luca bc he is rlly cute for me

Graph the image of rectangle EFGH after a reflection over the line x= –1

Answers

Answer:

G (1,7)

H (2,7)

F (1,-1)

E (2,-1)

Step-by-step explanation:

The image of rectangle EFGH after a reflection over the line x = –1 will cover the points G (1,7), H (2,7), F (1,-1), and E (2,-1).

What is a translation?

The process of changing the location of the image on the coordinate system will be known as the translation. A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that graph the image of rectangle EFGH after a reflection over the line x= –1. Translated image of the points is attached with the answer below. The translated points are G (1,7), H (2,7), F (1,-1), and E (2,-1).

Therefore, the image of rectangle EFGH after a reflection over the line x = –1 will cover the points G (1,7), H (2,7), F (1,-1), and E (2,-1).

To know more about translation follow

https://brainly.com/question/12861087

#SPJ2

I need help with math here is the problem 3(2x+6)

Answers

Answer:

6x+18

Step-by-step explanation:

Step-by-step explanation:

Distribute the 3 to the 2X and 6:

3 x 2X + 6 x 3 = (3 x 2)X + 18 = 6X +18

Solve for a.

6a−15=72

A.12
B.27
C.14 1/2
D.9 1/2

Answers

The answer is 14.5 or 14 1/2. This is done by

6a-15=72
add 15 to both sides
6a = 87
Divide 6
a = 14.5

Answer:C

Step-by-step explanation:

5 years ago, john was half the age he will be in 8 years. How old is he?

Answers

Answer: John is now 18 years old

Step-by-step explanation:

Let, John's age is now x years.

5 years ago, he was (x - 5) years old

In 8 years, he will be (x + 8) years old

By the given condition,

x - 5 = 1/2 (x + 8)

⇒ 2 (x - 5) = x + 8

⇒ 2x - 10 = x + 8

⇒ 2x - x = 8 + 10

⇒ x = 18

Help a dum person out?

Answers

Answer:

150 i think i dont really understand this question either sorryyy <3

Step-by-step explanation:

bc it has to be less than 150 but the answer also has to be more than 138 so i hope that helped more than the answer i put :)

Answer:

I think It was 123

Step-by-step explanation:

Because i try to add it all four then divide it unto 5 so it was the result but I'm not sure about my answer maybe it will help :)

6 Work out the sizes of the angles labelled rº, sº and tº.
Plzzzz help I suck at geometry

Answers

Answer:

t = 30

s = 25

r = 55

Step-by-step explanation:

Let's begin by r

r is angle in quadlitral shape, so the sum of the interior angles = 360

r = 360 - (95 +100+110) = 55

Then Now it's time for  ( t )

Look at the triangle whose angles are r, 95 and t. The sum of the measures of the interior angles of triangle is 180

so t = 180 - ( 95 + r) = 180 - (95 + 55) = 30

Similarly, look at the triangle whose angles are r, s and 100

s = 180 - (100 + r) = 180 - (100 + 55) = 25

I hope you find this helpful! If you have any questions, please feel free to ask them in the comments

Divide 600 kg into 2 boxes so that one box has twice as much in it as the other box. How
much is in the heavier box?
Help please

Answers

Answer:

200 box 1 / 400 box 2

box 2 Step-by-step explanation:

200 + 400 = 600

Answer:

Hello asuna here

600 would be your answer

Step-by-step explanation:

Hope this helps

The value of an antique car is modeled by the function V\left(t\right)=10700\ \left(1.125\right)^t , where t is the number of years since 2005.

By what percent rate is the value of the car increasing per year?

a
125%
b
12.5%
c
1.125%
d
0.125%

Answers

Answer:

its c i think

Step-by-step explanation:

Please answer please.

Answers

Answer:

Triangles are not similar.

Step-by-step explanation:

Properties of the similarity of two triangles,

1). Corresponding angles of two triangles are equal in measure.

2). Corresponding sides of the similar triangles are proportional.

From the given triangles,

- Corresponding angles of the given triangles are not equal in measure.

- Ratios of the corresponding sides,

 [tex]\frac{KM}{XY}=\frac{CM}{RY}= \frac{KC}{XR}[/tex]

[tex]\frac{53}{53}= \frac{54}{53}= \frac{64}{53}[/tex]

But these ratios are not equal.

Therefore, both the triangles are not similar.

what is the error in this polynomial x²+9=(x+3)(x+3)?​

Answers

Answer:

(x + 3i)(x - 3i)

Step-by-step explanation:

Wrong statement: x² + 9 = (x + 3)(x + 3)

Correct statement: x² + 9 = x² - (3i)² = (x + 3i)(x - 3i)

Please help me with this

Answers

Answer:

1) equation is set up to determine when the cost of printing at home is the same as the cost of printing at the office

2) p = 500 means that, at printing 500 pages, the costs of home versus office printing are the same

Step-by-step explanation:

Answer:

1) No, it does not represent the story.

2) It represents the number of pages.

Step-By-Step Explanation:

1) It has nothing to do with the story.

2) It says: Let p represent the number of pages

Answer the photo below thanks

Answers

Answer:

C. 36 degrees

Step-by-step explanation:

90 + 54 = 144

180 - 144 = 36

you were correct

A triangle’s angles add up to 180.

180 - 90 - 54 = 36.

You selected the right answer.

please simplify √16bx⁴​

Answers

Answer: 4bx^2

Step-by-step explanation:

Answer:

Hey there!

I got the answer

4bx^4

Step-by-step explanation:

All you have to do is simplify the radicand up into a product of known factors , assuming positive real numbers.

need help to find X
thank you

Answers

Answer:

121

Step-by-step explanation:

Answer:

63.33 or 190/3

Step-by-step explanation:

1. vertical opposite angles are equal

2. corresponding angles some up to 180°

=> 3x - 20 + 10 = 180

=> 3x = 180+10

=> 3x = 190

=> x = 190/3

=> x = 63.333333333333333

What is the answer to 10x2x5%20

Answers

I’m pretty sure 20 tell me if I’m wrong

Answer:

ITS 0

Step-by-step explanation:

Two learners are planning to make baskets to raise money for the honors society at their school. Marcia will make baskets out of palms. Norma plans to make baskets out of pine straw. Together, they have $100 to spend on supplies.

The palm baskets cost $4 to make and will sell for $20.
The pine straw baskets cost $3 to make and will sell for $17.
The learners agree that they will each make at least 14 items. Let x represent the number of palm baskets and let y represent the number of pine straw baskets.

Answers

Answer:

3

Step-by-step explanation:

Pretty sure it is the third but sorry if im incorrect

Solve for x . Round to the nearest 100th if needed.
11/ x + 18 = 34

Answers

Answer:

x = 0.69

Step-by-step explanation:

11/x + 18 = 34

11/x = 16

11 = 16x

x = 0.6875 = 0.69

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