What’s the value of k ?

Answer:

The inverse of [tex]f(x)=8x+10[/tex] is [tex]\mathbf{f^{-1}(x)=\frac{x-10}{8}}[/tex]

Step-by-step explanation:

[tex]f(x)=8x+10[/tex]

We need to find inverse of the function.

For finding inverse of function,

let [tex]y=8x+10[/tex]

Now, solving to find value of x

Subtracting 10 on both sides

[tex]y-10=8x+10-10\\y-10=8x[/tex]

Divide both sides by 8

[tex]\frac{8x}{8}=\frac{y-10}{8} \\x=\frac{y-10}{8}[/tex]

Now replace y with x and x with [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x)=\frac{x-10}{8}[/tex]

So, the inverse of [tex]f(x)=8x+10[/tex] is [tex]\mathbf{f^{-1}(x)=\frac{x-10}{8}}[/tex]

Answer:

The answer is [tex]f^(-1)(x)= (x^(2) - 10)/(8), x > =0[/tex]

Answer:

Patrick from spongebob? He dosent do work

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

because if the number is not higher than 50, you have to round down.

Answer:

Car Wash: $43.75   and   Garage Sale: $87.5

Answer:

madarchod

Step-by-step explanation:

randi bhosdike

Answer:

Your answer is D

Step-by-step explanation:

Let's solve your system by substitution.

y−2x=3;3x−2y=5

Rewrite equations:

−2x+y=3;3x−2y=5

Step: Solve−2x+y=3for y:

−2x+y=3

−2x+y+2x=3+2x(Add 2x to both sides)

y=2x+3

Step: Substitute2x+3foryin3x−2y=5:

3x−2y=5

3x−2(2x+3)=5

−x−6=5(Simplify both sides of the equation)

−x−6+6=5+6(Add 6 to both sides)

−x=11

−x

−1

=

11

−1

(Divide both sides by -1)

x=−11

Step: Substitute−11forxiny=2x+3:

y=2x+3

y=(2)(−11)+3

y=−19(Simplify both sides of the equation)

Answer:

x=−11 and y=−19

Answer:

The total area is 29 cm2

Step-by-step explanation:

The area of the first rectangle (left side) is 4 * 2 = 8

Second rectangle ( right side ) 4 * 3 = 12

The triangle is 3 * (4 + 2) * 1/ 2 = 9

Total area is 29 cm2

Answer:

Go to microsoft Calculator, and try to make diagrams, it's the easiest variant.

And by other way, use point as a y and make formula

[tex]x= \frac{y}{m} + b [/tex]

Answer:

There were 204 ladies and 136 gentlemen in the conference

Step-by-step explanation:

Let's set the variables:

L = number of ladies in the conference

G = number of gentlemen in the conference

We know 340 people participated in the conference, thus:

L + G = 340         [1]

We are also given the ratio of ladies and gentleman as 3:2, thus:

L/G = 3/2

Cross-multiplying:

2L = 3G        [2]

From [1]:

L = 340 - G

Substituting in [2]:

2(340 - G) = 3G

Operating:

680 - 2G = 3G

5G = 680

G = 680/5 = 136

G = 136

L = 340 - 136 = 204

L = 204

There were 204 ladies and 136 gentlemen in the conference

Answer:

L= 18 in

W= 8 in

Step-by-step explanation:

Step one:

The length of a rectangle is 10 inches longer than its width

let the width be x

so the lenght is x+10

the area of the rectangle is 144 square inches

Step two:

[tex]Area= L*W\\\\144=x(x+10)\\\\144=x^2+10x\\\\x^2+10x-144=0[/tex]

the factors for the quadratic expression is

18 and -8

[tex]x^2+18x-8x-144=0\\\\x(x+18)-8(x+18)=0\\\\x-8=0\\\\x=8\\\\x+18=0\\\\x=-18[/tex]

the width is 8 in

the length is 8+10= 18 in

From the equation, the length is 18 inches and the width is 8 inches.

Let width = w

Since the length of a rectangle is 10 inches longer than its width, the length will be w+10.

Area = 144 inches²

Area = Length × Width

w(w + 10) = 144

w² + 10w = 144

w² + 18w - 8w - 144 = 0

w(w + 18) - 8(w + 18) = 0

(w - 8) = 0

w = 0 + 8 = 8

Length = w + 10 = 8 + 10 = 18

Learn more about equations on:

https://brainly.com/question/2972832

The value of the trigonometry are sin(Π-Ɵ) = 0.84 and sin(Π + Ɵ) = -0.84

According to the question, there is a circle whose radius is 1 and the ray intersects the circle at point (0.54, 0.84).

We need to find the trigonometric values, that is

 sin(Π-Ɵ) = sin(Ɵ) as we know that when the angle is in third quadrant sin is positive.

 sin(Π+Ɵ) = -sin(Ɵ) as we know that when the angle is in fourth quadrant sin is negative.

Also note that,  sinƟ = perpendicular/hypotenuse

Perpendicular = 0.84 as the perpendicular length will be equal to the length of the y-axis

Hypotenuse = 1 as the hypotenuse will be the radius of the circle which is formed by the ray.

Thus, sinƟ = 0.84/1 = 0.84

Hence, sin(Π-Ɵ) = 0.84

  And sin(Π+Ɵ) = -0.84

Learn more about trigonometry here : https://brainly.com/question/13729598

#SPJ4

Answer:

[tex]\frac{11}{5}[/tex]

Step-by-step explanation:

1. isolate x by adding 7 to the other side (7+4)

5x - 7 = 4

5x = 11

2. divide by 5 to get x alone

x = 11/5

Answer:

Step-by-step explanation:

5x - 7 = 4

5x=4+7

5x=11

x=11/5

x=2.2

Answer:

USE AIR MATH!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

1 inch of drawing = 45 feet

Step-by-step explanation:

Given that:

Length between the bases on a baseball field = 90 feet

As per the scale drawing, the distance between the bases is equal to 2 inches.

To find:

Length of one inch on the drawing is equal to actual length of how many feet?

Solution:

First of all, let us learn about the scale drawings.

Scale drawings are a way to represent the big real world measurements on a paper.

Therefore, small measurements are used to represent the bigger real world measurements.

Here, it is given that:

2 inches on scale is equal to 90 feet of actual length.

Therefore,

1 inch on scale is equal to [tex]\frac{90}{2}[/tex] = 45 feet of actual length.

Therefore, 1 inch of drawing = 45 feet

9514 1404 393

Answer:

Step-by-step explanation:

Since EH is the perpendicular bisector of DF, ∆DEF is isosceles and sides DE and EF have the same length.

  DE = EF

  (9x -1) = (7x +9)

  2x = 10 . . . . . . . add 1-7x

  x = 5 . . . . . . . . . divide by 2

__

Similarly, marked sides GD and GF are the same length, so ...

  GD = GF

  (10y -4) = (7y +8)

  3y = 12 . . . . . . . . . . add 4-7y

  y = 4 . . . . . . . . . divide by 3

__

Now, we have what we need to calculate the side lengths.

  EF = 7x+9 = 7·5 +9 = 44

  DE = 9x-1 = 9·4 -1 = 44

  FG = 7y+8 = 7·4 +8 = 36

  DG = 10y-4 = 10·4 -4 = 36

  FH = 3x+4y = 3·5 +4·4 = 31

  DF = FH = 31

Answer:

Equaiangular

Step-by-step explanation:

think equal

Answer:

2: it describes the distance between 6 and -6 on the number line.

Answer:

2.25 inches

Step-by-step explanation:

Number of books: 12

Height of stack: 27 inches

27 divided by 12 = 2.25 inches

Answer:

9/4

Step-by-step explanation:

27/12 = 9/4 inch

= 2,25 inch

Answer:

3x-6y=6

y=x+8

3x - 6(x+8) = 6

3x - 6x - 48 = 6

-3x - 48 = 6 / +48

-3x = 54 // -3

x = - 18

y = -18 +8 = 10

Step-by-step explanation:

Answer:

If 32 students are enrolled in the course, there would be 24 girls.

Step-by-step explanation:

Given that For every boy in an advanced math course there are 3 girls who are taking the course.

It means if there are four students in the class. There would be 3 girls and 1 boy. Thus, 75% of the students are girls.

Given that there are 32 students enrolled in the course.

so

75% of 32 = 75/100 × 32

                 = 24

Thus, if 32 students are enrolled in the course, there would be 24 girls.

Answer:

4

Step-by-step explanation:

Answer:

80.25

Step-by-step explanation:

Answer:

It is 300 + 10 + 1.

Step-by-step explanation:

Answer:

.27

Step-by-step explanation:

just divide 3/11

Answer:bc

Step-by-step explanation:

Answer:

D. $0.94 per pound

Step-by-step explanation:

To find how much each potato costs, we have to do 2.82/3

This is equal to $0.94, so $0.94 per pound!

Check:

With each potato being $0.94 ( according to my calculations ), 3 potatoes should be $2.82. So, $0.94 * 3 should be equal to $2.82.

3 * 0.94 = 2.82       Correct!

Answer:

$1.75 per pound of apples, 10 apples can be purchased for $17.50 because you divide 17.50 by 1.75 since that is your unit rate per pound.

Step-by-step explanation:

Answer:

the answer is 17.50

Step-by-step explanation:

one pound is 1.75 so you multiply that by 10 and you get 17.50

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