Solving Problems Involving Inverse Functions
With solutions please.

Answer:

1 ounce is .549 cents

Step-by-step explanation:

Answer:

The unit rate per ounce is $0.55.

Step-by-step explanation:

Answer:

zero

Step-by-step explanation:

Answer:

1% of 12,348,000 = 123,480

50% of 123,480 = 61,740 people have died

Answer:

15.875 < r

Step-by-step explanation:

-9 < 8(r - 17) - 1

-9 < 8r - 137

+137    +137

------------------

128 < 8r

/8       /8

-------------

16 < r

Answer:

r>16

Step-by-step explanation:

1.)  Add 11 to both sides.

-9+1<8(r-17)−9+1<8(r−17)

2.) Simplify  -9+1−9+1  to  -8−8.

-8<8(r-17)−8<8(r−17)

3.) Divide both sides by 88.

-1<r-17−1<r−17

4.) Add 1717 to both sides.

-1+17<r−1+17<r

5.) Simplify  -1+17−1+17  to  16.

16<r16<r

6.) Switch sides.

r>16r

Answer:

9.5

Step-by-step explanation:

Answer:

2. 8n. 8n. 8n. 8n

Step-by-step explanation:

[tex]2 {(8n)}^{4} = 2. 8n. 8n. 8n. 8n[/tex]

Equivalent expressions are expressions with equal value.

The equivalent expression of [tex]\mathbf{2\cdot(8n)^4}[/tex] is [tex]\mathbf{2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex]

The expression is given as:

[tex]\mathbf{2\cdot(8n)^4}[/tex]

Apply law of indices

[tex]\mathbf{2\cdot(8n)^4 = 2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex]

The above equation means that:

[tex]\mathbf{2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex] is equivalent to [tex]\mathbf{2\cdot(8n)^4}[/tex]

Hence, the correct option is (d) [tex]\mathbf{2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/24242989

Answer:

3+12=15

Step-by-step explanation:

15-12= 3

3+12=15

Answer:

[tex]m=\frac{-5}{6}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points on the graph.

Point (-4, 4)

Point (2, -1)

Step 2: Find slope m

And we have our answer!

Answer:

Step-by-step explanation:

x + 87 + 20 = 180           {Angle sum property of triangle}

          x + 107 = 180

                 x = 180 - 107

                x = 73

1) Exterior angle of a triangle equals the sum of opposite interior angles or remote angles.

2) x = 63 + 86

  x = 149

Answer:

2.6?:))))

......

Answer:

B

C and D are already out of the picture since we know lightning is not just light.

Answer:

Build up of electric charges in the clouds (A)

Step-by-step explanation:

A. Use the law of cosines:

29² = 34² + c ² - 2•34•c cos(30.3°)

Use a calculator to solve for c ; notice this equation is quadratic, you get two possible solutions, c ≈ 5.973 ≈ 6 or c ≈ 52.738 ≈ 53.

Then use the law of sines to solve for the two possibles measures of angle C :

sin(30.3°)/29 = sin(C )/c

sin(C ) = c sin(30.3°)/29

sin(C ) ≈ 0.1039   or   sin(C ) ≈ 0.9175

C ≈ 6.0°   or   C ≈ 66.6°

The interior angles of any triangle sum to 180°, so the remaining angle has measure either

B = 180° - 30.3° - C

B ≈ 143.7°   or   B ≈ 83.1°

So to recap,

B ≈ 143.7°, C ≈ 6.0°, c ≈ 6

and

B ≈ 83.1°, C ≈ 66.6°, c ≈ 53

Answer:

quadrant 1

hope this helps

Answer:

[tex]-\frac{3}{2} <x<1[/tex]

Step-by-step explanation:

[tex]2x^{2} +3x-2x-3<0[/tex]

[tex]x(2x+3)-(2x+3)<0\\(2x+3)(x-1)<0\\When 2x+3=0 or x-1=0 \\x= -\frac{3}{2},1[/tex]

[tex]x<-\frac{3}{2} \\-\frac{3}{2} <x<1\\x<1[/tex]

Answer:

7.6

Step-by-step explanation:

Answer:

y = 3/4x + 12

Step-by-step explanation:

let equation of the line be y = 3/4x + b

sub (-8, 6):

6 = 3/4(-8) + b

12 = b

therefore equation of the line is y = 3/4x + 12

Topic: Coordinate Geometry

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

General Form of Equation of a line that passes through the point (-8,6) and has a slope of 3/4 is:

[tex]\frac{3}{4}x-y+12=0[/tex]

Step-by-step explanation:

We need to find equation of line that passes through the point (-8,6) and has a slope of 3/4 in general form.

The general form of linear equation is [tex]Ax+By+C=0[/tex]

First we will use slope-intercept form i.e, [tex]y=mx+b[/tex] to find equation and then write it in general form.

Where m is slope and b is y-intercept.

We are given slope = 3/4 but y-intercept is not given and we need to find.

Finding y-intercept

Using the point (-8,6) and slope m = 3/4 we can find y-intercept

[tex]y=mx+b\\6=\frac{3}{4}(-8)+b\\6=3(-2)+b\\6=-6+b\\b=6+6\\b=12[/tex]

So, y-intercept b is 12

Equation of line

The line has slope m=3/4 and y-intercept b is 12, the equation is:

[tex]y=mx+b\\y=\frac{3}{4}x+12[/tex]

General Form of Equation of a line that passes through the point (-8,6) and has a slope of 3/4 is:

[tex]\frac{3}{4}x-y+12=0[/tex]

Answer:

2.05

Step-by-step explanation:

so first you want to find 30% of 1.60, you get 0.45.

then you add 0.45 to 1.60, and get your answer at 2.05.

hope that’s helps!

Answer:

2.05

Step-by-step explanation:

Answer:

"Some irrational numbers are whole numbers" False

"All rational numbers are integers" False

"All integers are whole numbers" False

"No integers are irrational numbers" True

Step-by-step explanation:

I'm 100% sure of this

Answer:

Step-by-step explanation:

If Daniela has 2 1/4 basketball games left to play in a tournament, and she has 3/4 gallon of water left to drink, since she drinks the same amount in each game, we can say;

2 1/4 games = 3/4 gallons

To calculate how much he has to drink in a game, this can be expressed as;

1 game = x gallon

Solve for x;

2 1/4 games = 3/4 gallons

1 game = x gallon

Cross multiply

3/4 = 2 1/4x

3/4 = 9/4 x

9x/4 = 3/4

cross multiply;

9x * 4 = 4*3

36x = 12

x = 12/36

x = 1/3

Hence she can drink 1/3 gallons of water in each game.

Answer:

o.6

Step-by-step explanation:

I think sorry if wrong

Answer:

7. <35

8.<5

9.>50

Step-by-step explanation:

simple mathematics

Answer:

-239

Step-by-step explanation:

-3(8) 2-6(8)+1

-192-48+1

-240+1

=-239

Answer:

-239

Step-by-step explanation:

Answer:

The answer is

[tex] \huge y = - 2x[/tex]

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y + 4 = - 2(x - 2) \\ y + 4 = - 2x + 4 \\ y = - 2x + 4 - 4[/tex]

We have the final answer as

Hope this helps you

Answer:

x = 20°

y = 19°

Step-by-step explanation:

The first two angles that are in the 2nd Quadrant:

2x - 3

3x - 7

The rule states that the two angles are complimentary angles that form an angle of 90°. So,

(2x - 3) + (3x - 7) = 90

2x - 3 + 3x - 7 = 90

2x + 3x - 3 - 7 = 90

5x - 10 = 90

5x = 90 + 10

5x = 100

x = 100 ÷ 5

x = 20

Another rule applies here, vertical angles are equivalent to each other.

So,

2x - 3 = 2y - 1

2(20) - 3 = 2y - 1

40 - 3 = 2y - 1

37 = 2y - 1

37 + 1 = 2y

38 = 2y

38 ÷ 2 = y

19 = y

Answer:

Step-by-step explanation:

Answer:

Forty-two (42) of the trees were too small.

Step-by-step explanation:

Find 7/8 of 48.

[tex]\frac{7}{8}[/tex] = 0.875

Multiply the quotient (0.875) by 48 to find [tex]\frac{7}{8}[/tex] of 48.

0.875 × 48 = 42

Answer:

Answer:

1.11111=111111100000

Showing the work

Rewrite the decimal number as a fraction with 1 in the denominator

1.11111=1.111111

Multiply to remove 5 decimal places. Here, you multiply top and bottom by 105 = 100000

1.111111×100000100000=111111100000

Simplify the improper fraction,

=111111100000

In conclusion,

1.11111=111111100000

Step-by-step explanation:

The fraction equivalent of the repeating decimal 1.11111 is 10/9. This means that 1.11111 is equivalent to 10/9, indicating a ratio of 10 parts to 9 parts. Simplifying the fraction ensures that it is in its simplest form with no common factors between the numerator and the denominator other than 1.

To express the decimal 1.11111 as a fraction, we can use algebraic manipulation. Let's denote the repeating decimal as x:

x = 1.11111...

To eliminate the repeating part, we can multiply x by 10:

10x = 11.11111...

Now, we can subtract the original equation from the multiplied equation to eliminate the repeating part:

10x - x = 11.11111... - 1.11111...

Simplifying the equation:

9x = 10

Dividing both sides by 9:

x = 10/9

Therefore, the fraction equivalent of the repeating decimal 1.11111 is 10/9. This means that 1.11111 is equivalent to 10/9, indicating a ratio of 10 parts to 9 parts. Simplifying the fraction ensures that it is in its simplest form with no common factors between the numerator and the denominator other than 1.

For more details of fraction equivalent of the repeating decimal:

https://brainly.com/question/19473335

#SPJ6

Answer:

Step-by-step explanation:

The rate in this case is slope of the line. The formula of a slope is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]  

(10, 325)

(4, 130)

m = [tex]\frac{325-130}{10-4}[/tex] = [tex]\frac{195}{6}[/tex] = 32.5 miles per gallon

The actual rate is less (better) than advertising.

Answer:

TRUE

Step-by-step explanation:

i just know it :>