Find the inverse of a quadratic. Find the inverse of the function y = x2 – 12.

Answer:

3/8

Step-by-step explanation:

We want to evaluate

b - (-1/8) + c

where   b = 2 and   c = -7/4

First, replace b and c values into the expression

2 - (-1/8) + (-7/4)

Then, eliminate the parenthesis

2 + 1/8 - 7/4

Finally, express all terms as fractions with the same denominator, and perform the addition and subtraction

2*8/8 + 1/8 - 7/4 * 2/2

16/8 + 1/8 - 14/8

(16 + 1 - 14)/8

3/8

Answer:

the answer is 3/8

Step-by-step explanation:

Answer:

x = -10, -8

Step-by-step explanation:

x^2+18x+80=0

Subtract 80 from each side

x^2+18x=-80

Take the coefficient of x

18

Divide by 2

18/2 = 9

Square it

9^2 =81

Add 81 to each side

x^2+18x +81=-80+81

(x+ 9) ^2 = 1

Take the square root of each side

sqrt((x+ 9) ^2 )=±sqrt( 1)

x+9 = ±1

Subtract 9 from each side

x+9-9= -9 ±1

x = -9+1      x = -9-1

x = -8           x = -10

Answer:

x+9^2=1

Step-by-step explanation:

khan academy

Answer:

-1 ± 3i√6

Step-by-step explanation:

Please write this quadratic equation as follows:  x^2 + 2x + 7 = 21.  The " ^ " indicates exponentiation.

The coefficients of this quadratic are 1, 2, 7.

Thus, the "discriminant" b^2 - 4(a)(c) is  (2)^2 - 4(1)(7), or 4 - 28, or -24.

Because the discriminant is negative, this quadratic has two different complex roots:

      -b ± √[ discriminant ]          -2 ± 2i√6      

x = ---------------------------------  =  -----------------  = -1 ± 3i√6

                 2a                                     2

Answer:

78.5

Step-by-step explanation:

the formula is C = 2π r

we know the diameter is 24

half of the diameter is radius

24 divided by 2 is 12

substitute what we know

C=2 times 3.14 times 12=  75.36

The closest option is 78.5

The answer is not completely the same because pi is not always exact

Answer:

D) 4,-6 is the closest to the park

Answer:

d

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Given

3a - 2a × 4a + 6a

According to order of operations.

Multiplication is performed before addition/ subtraction, thus

= 3a - 8a² + 6a ← collect like terms

= (3a + 6a) - 8a²

= 9a - 8a² → C

Answer:

165m

Question:

Artur, Olga and Wiktor participated in the race. They started from the same place at the same time and run at constant speeds. When Artur finished the race, Olga was 15 m to the finish,

and Wiktor was 35 m. When Olga finished the race, Wiktor remained 22 m to the finish. At what distance was the race held?

Step-by-step explanation:

Let Artur distance covered be =>x

When Artur covered distance x:

Olga was 15m from x

Olga = x - 15

Wiktor was 35m from x

Wiktor = x - 35

When Olga covered distance x:

Wiktor was 22m from x

The ratio of Olga to Wiktor:

(x-15)/(x-35) = x/(x-22)

Cross multiply

(x-15)(x-22) = x(x-35)

x² - 15x - 22x + 330 = x² - 35x

x² -37x +330 - x² + 35x = 0

-2x = -330

x = (-330)/(-2)

x = 165m

The race held at 165m distance

Answer:

x = -2

Step-by-step explanation:

-8 ( x - 3 ) - 4x = 48

Distribute

-8x +24 -4x = 48

Combine like terms

-12x +24 = 48

Subtract 24 from each side

-12x+24-24 = 48-24

-12x = 24

Divide each side by -12

-12x/-12 = 24/-12

x = -2

Answer:

X= -2

Step-by-step explanation:

First, you need to distribute -8 into (x-3) --->  -8(x-3)-4x=48

                                                                         -8x + 24 -4x= 48  

Get numbers with variables on its own side-->     -24         -24

                                                                            -8x - 4x  = 24

Combine -8x and -4x  ----->           -8x-4x = -12x   -12x    = 24

                       Divide ---------------------------------->    -12         -12

                                                                             24÷ -12 = -2

So the right answer is 58.

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

58

Step-by-step explanation:

Add 16 to both sides

x-16=42

x-16+16 = 42+16

-16 and 16 cancel out

x = 58

1.So the problem "y=2x+5" is in standard form and no modification is necessary. For a parabolic equation, the standard form is y = a(x - h)^2 + k, from which direction (polarity of "a") and axis of symmetry (value of "h"), etc.

2.Ax + By + C = 0 or Ax + By = C.

Answer:

[tex]=10x^2+15x+5[/tex]

Step-by-step explanation:

[tex]5\left(2x+1\right)\left(x+1\right)\\\mathrm{Expand}\:\left(2x+1\right)\left(x+1\right):\quad 2x^2+3x+1\\\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\a=2x,\:b=1,\:c=x,\:d=1\\=2xx+2x\cdot \:1+1\cdot \:x+1\cdot \:\\=2xx+2\cdot \:1\cdot \:x+1\cdot \:x+1\cdot \:1\\\mathrm{Simplify}\:2xx+2\cdot \:1\cdot \:x+1\cdot \:x+1\cdot \:1:\quad 2x^2+3x+1\\2xx+2\cdot \:1\cdot \:x+1\cdot \:x+1\cdot \:1\\2xx=2x^2\\2\cdot \:1\cdot \:x=2x\\1\cdot \:x=x\\1\cdot \:1=1\\=2x^2+2x+x+1[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:2x+x=3x\\=2x^2+3x+1\\=5\left(2x^2+3x+1\right)\\\mathrm{Expand}\:5\left(2x^2+3x+1\right):\quad 10x^2+15x+5\\5\left(2x^2+3x+1\right)\\\mathrm{Distribute\:parentheses}\\=5\cdot \:2x^2+5\cdot \:3x+5\cdot \:1\\\mathrm{Simplify}\:5\cdot \:2x^2+5\cdot \:3x+5\cdot \:1:\quad 10x^2+15x+5\\5\cdot \:2x^2+5\cdot \:3x+5\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:5\cdot \:2=10\\=10x^2+5\cdot \:3x+5\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:5\cdot \:3=15[/tex]

[tex]=10x^2+15x+5\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:5\cdot \:1=5\\=10x^2+15x+5\\[/tex]

r = 0.5

Step-by-step explanation:

[tex]1.25=0.75+5[/tex]

We can subtract 0.75 from both sides. The 0.75 will then cancel out.

[tex]0.5=r[/tex]

r = 0.5

Answer:

r = 0.5

Step-by-step explanation:

1.25= 0.75 + r

r = 1.25- 0.75

r = 0.5

Answer:

9

....................

Answer:

9

Step-by-step explanation:

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Answer:

FIll in the first box comepletely, and the first line of the second box.

Step-by-step explanation:

5/4 is 1 1/4, so it's one whole, and one fourth of a whole. Hope this helps!

Answer:

20/4

Step-by-step explanation:

Multiply diagonally

[tex]\frac{5}{4} = \frac{1}{4}= \frac{20}{4}[/tex]

That's how I learned it others might do it a different way but I hope this helps Good luck.

Answer: 258023743333miles³

Step-by-step explanation:

Volume of a sphere = 4/3πr³.

where,

π = 3.14

r = radius = 3950

Volume of a sphere = 4/3πr³.

= 4/3 × 3.14 × 3950³

= 4/3 × 3.14 × 61629875000

= 258023743333miles³

The volume of our planet if we assume that it is a sphere with the radius 3,950miles will be 258023743333miles³

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

-7x + 13 > 41

- 13

-7x > 28

/ -7

x < -4

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

14CM times 32CM

Step-by-step explanation:

448 Cm

Step-by-step explanation:

A

C H

Cos(23)×25 = 23.0126

The distance of the base of the ladder from the wall is 23.01 ft

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

We are solving from how far the base of the ladder from the wall and we are representing it as x.

Based on the type of triangle, we are going to use Trigonometry ratios.

We are going to use the cos ratio.

Let opposite be x, base be 25 and theta (angle) be 23.

Cos(23) = x/ 25

Make x the subject;

x = Cos(23)×25

x = 23.0126 ft

Therefore the distance  is 23.01 ft

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ2

Answer:

I think it's B, C, E

Answer:

true b c e

false a d f

Step-by-step explanation:

no explanation

Answer:

The answer is B -4

Step-by-step explanation:

An inverse function is a function that will “undo” anything that the original function does. For example, if a function takes a to b, then the inverse must take b to a.

Answer:

-4

Step-by-step explanation:

The inverse of a function and the function counteract each other.  The are opposites.  It is like adding and subtracting the same thing.  You end up where you started

Since f(x) and g(x) are inverses

f(g(x) = x

g(f(-4)) = -4

Answer:

Think of even square roots close to 27: the closest is 25 which has a square root of 5. Now think of the number with an even square root after 25: 36 which has a square root of 6. Since 27 is between 25 and 36, the square root of 27 would be between 5 and 6.

Answer:

i know one can be nine

Answer:

Step-by-step explanation:

Assuming that the triangle base dimensions are 1 inche and 5 inches, and the height of the pyramid is 6 inches, the volume would be

[tex]V=\frac{1}{3}Bh[/tex]

Where [tex]B[/tex] is the area of the base (triangle) and [tex]h[/tex] is the height.

[tex]B=\frac{1}{2}bh =\frac{1}{2}(1)(5)=2.5 \ in^{2}[/tex]

Then,

[tex]V=\frac{1}{3}(2.5)(6)=5 \ in^{3}[/tex]

Therefore, the volume of the pyramid is 5 cubic inches.

Answer:

Step-by-step explanation:

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Answer:

Directrix

Step-by-step explanation:

Answer:

If lines are tangent to the circle that means that they are equal lengths.

14x - 7 = 7x +49

14x - 7x = 49 + 7

7x = 56

x  =56/7

x = 8

Step-by-step explanation:

Answer:

$26.40

Step-by-step explanation:

multiply 220 by 0.12 to get 12 percent of the total amount