Find the inverse of each function. Determine whether each inverse is a function. f(x)=2 x²-8

Answer:

[tex]1.6 \times 10^5[/tex]

Step-by-step explanation:

[tex](8 \times 10^3) \times (2 \times 10^1)\\\to (8 \times 2) \times (10^3 \times 10^1) \text{ / Remember rule: } a^m \times a^n = a^{m + n}\\\to 16 \times 10^{3 + 1}\\\to 16 \times 10^4\\\to 1.6 \times 10 \times 10^4\\\to 1.6 \times 10^{1 + 4}\\\to 1.6 \times 10^5[/tex]

Adult tickets costs $63.8

Children tickets costs $13.2

Let x represent the adult tickets and y to represent the cost of children tickets

x + y= 77..........equation 1

36x + 17y= 2,297........equation 2

From equation 1

x= 77-y

Substitute 77-y for x in equation 2

36(77-y) + 17y = 2297

2772 - 36y= 2297

-36y= 2297-2772

-36y= -475

y= 475/36

y= 13.2

Substitute 13.2 for y in equation 1

x + 13.2 = 77

x= 77-13.2
x= 63.8

Hence adult tickets costs $63.8 and children tickets costs $13.2

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The values for f(x).g(x) =  2x² -6x +9

Given:

          f(x)=2 x+5 and g(x)=x²-3 x+2

         (f.g)x = f(g)x)

          g(x) = x²-3 x+2

          f(x²-3 x+2) = 2 (x²-3 x+2) +5

          f(x²-3 x+2) = 2x² -6x +9

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Answer:

-8x^2+2x+5

Step-by-step explanation:

Distributive Property

Answer:

Choice a
y = 2x -5

Step-by-step explanation:

The slope-intercept form of a line is y = mx + b where m is the slope and b the y-intercept

The given line has slope = 2

A parallel line will have slope = 2 also

So the only choice is 2x + 5 which is choice a

Answer:

100mi

Step-by-step explanation:

Answer: 1 Donut would be $1.6 and 7 donuts would be $11.2

Answer:

2.85

Step-by-step explanation:

Reason 19.50 - 22.35 = 2.85

The value of y or the perpendicular of the is 180 rounded to nearest tenth.

Here we have to use Trigonometry

Trigonometry is basically the study of the relationship between the sides and angles of the right-angle triangle.  Thus , trigonometry helps to find the missing or unknown angles or sides of a right-angle triangle using the trigonometric formulas, functions or trigonometric identities. In trigonometry, the angles can be are generally  measured in degrees

Here we will use Tan α

Tan α = Perpendicular / Base

From the given figure we know that base is given as 350 feet and α is 27°

Tan 27° = y/ 350

0.509 = y / 350

y = 350 × 0.509

y = 178.15

Hence, The value of y or the perpendicular of the is 180 rounded to nearest tenth

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Mr. Lawson is to pay the smallest amount of interest that is allowed in the City Credit Union which is a simple interest would be 1632.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

To determine the smallest amount of interest.

We have to calculate the simple interest of each bank

United Bank : 4% interest rate and 6 years

S.I. of United Bank = 8000 × 4/100 × 6 = 1920

Nations First :3.8% interest rate and 7 years

S.I. of Nations First = 8000 × 3.8/100 × 7 = 2128

City Credit Union :5.1% interest rate and 4 years

S.I. of City Credit Union = 8000 × 5.1/100 × 4 = 1632

Priority Bank : 4.2%interest rate and 5 years.

S.I. of Priority Bank = 8000 × 4.2/100 × 5 = 1680

So the smallest amount of interest would be City Credit Union which is 1632.

Therefore, Mr. Lawson is to pay the smallest amount of interest that is allowed in the City Credit Union which is a simple interest would be 1632.

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Answer: The answer is unknown

Step-by-step explanation: 7 continents, so you would only have 1 data.

If Carl Brownstein is a golf course groundskeeper whose annual gross pay is 45,500, and he has exemptions of 3000, and the state tax on the first 2500 is 1.5% and 3% on amounts over 2,500 then the state income tax of Carls is C- 1237.50.

The state income tax of Carls can be calculated as follows;

First, we subtract the exemption of 3000 from the annual gross pay as follows;

45500 - 3000 = 42500

As the percentage tax on the first 2500 is 1.5%, it can be calculated as follows;

1.5/100 × 2500 = 0.015 × 2500 = 37.50

The percentage tax on amounts over 2500 is 3%, therefore we can calculate the tax on the remaining amount as follows;

42500 - 2500 = 40000

3/100 × 40000 = 0.03 × 40000 = 1200

The total state income tax can be calculated by addition;

Tax on the first 2500 + Tax on the amount over 2500

37.50 + 1200 = 1237.50

Hence the state income tax of Carl is calculated to be 1237.50

Although a part of your question is missing, you might be referring to this question:

Carl Brownstein is a golf course groundskeeper whose annual gross pay is 45,500, he has exemptions of 3000. The state tax on the first 2500 is 1.5% and 3% on amounts over 2,500. What is the state income tax of Carl's?

A- 3233

B- 1200

C- 1237.50

D- 1588

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The equation for the relation between the number tickets Jillian sold and the amount of money she collected is m = 2.5t.

It should be noted that there's a constant relationship between the figures that are given.

This can be illustrated as:

= 25/10

= 2.5

Therefore, the equation for the relation between the number tickets Jillian sold and the amount of money she collected is m = 2.5t.

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According to the question, the given rational expression is as follows:

Expression =  [tex]\frac{x^{2} +8x+16}{x^{2} -2x-24}[/tex]

Simplify the numerator as well as denominator by doing factors which is shown below:

[tex]x^{2} +8x+16=x^{2} +4x+4x+16=(x+4)(x+4)[/tex]

Similarly, denominator factors are as follows:

[tex]x^{2} -2x-24=x^{2} -6x+4x-24=(x-6)(x+4)[/tex]

Now, substituting these values in the given expression, we get:

[tex]\frac{x^{2} +8x+16}{x^{2} -2x-24} = \frac{(x+4)(x+4)}{(x-6)(x+4)}=\frac{x+4}{x-6}[/tex]

Therefore, the final answer for the given expression is [tex]\frac{x+4}{x-6}[/tex].

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The answer to this question is 1/2

Logarithmic scale: A measurement scale in which the position is marked using the logarithm of a value rather than the actual value.

A logarithmic equation includes a logarithm in the variable x.

An exponential equation is one in which the variable is represented by an exponent. A logarithmic equation is one in which the logarithm of a variable-containing expression is used.

For logarithmic equations, log b (x) = y is equivalent to b^y = x such that x > 0, b > 0 and b is not equal to 1.

In the given problem, b = 2, x = 1/2, and y = -1.

b =2

x = 1/2

y = -1

Substituting the values of b, x and y into the equation b^y = x;

2^(-1) = 1/2

therefore, the value of the given equation log₂1/2=1 is 1/2.

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Answer:

0 -2 -1 1

4 -4 -4 12

-3 1 2 8

Step-by-step explanation:

in that exact order, 3 by 4

Answer:

False

Step-by-step explanation:

Answer:

No Solution

Step-by-step explanation:

0.3(6y+15)=1.8y+4.5

Step 1: Simplify both sides of the equation.

0.3(6y+15)=1.8y+4.5

(0.3)(6y)+(0.3)(15)=1.8y+4.5(Distribute)

1.8y+4.5=1.8y+4.5

Step 2: Subtract 1.8y from both sides.

1.8y+4.5−1.8y=1.8y+4.5−1.8y

0y+4.5=4.5

Step 3: Subtract 4.5 from both sides.

0y+4.5−4.5=4.5−4.5

0y=0

Step 4: Divide both sides by 0.

0y/0 = 0/0

y=0

Answer:

Due to the fact that the denomonator is the same your answer will be 8/9 but if there was a different denominator you would need to find the least common multiple. Dont forget anything you do to the bottom has to be done to the top

Step-by-step explanation:

Hope this helps!!

Answer:

whether the transaction

is a purchase or sale. Write a formula for the advisor's

commission. Let D represent the value of one transaction.

Give two examples of how this financial advisor could earn a

commision of $1000

Step-by-step explanation:

Answer:

gove two examples of how this financial advisor could earn a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Depreciation means value falling

10 is the scrap value which means the value that will remain after the product is properly used up.

depreciation for one year will be calculeted through

(original value - scrap value)/ no of years of use

(500 - 10)/3

= 163 is the annual rate of depreciation

If no scrap value is given, then you will simply divide the value by the no. of years of use

b. annual depreciation = 163

original value = 500

500 - 163(x) = worth of the poster after x years

worth remaining after a certain no. of years is also known as net book value.

Answer:

x + 3x + 56 = 180

x + 3x = 124

4x = 124

x = 31

Step-by-step explanation:

A: 31

B: 3(31) = 91

C: 56

Total: 180

The rocket moves really fast with high speed.

A projectile that receives thrust from a rocket engine is known as a rocket (from the Italian rocchetto, which means "bobbin/spool"). All of the propellant carried by the rocket is used to create the exhaust from its engine.

In actuality, the absence of an atmosphere in space allows rockets to operate more effectively.

Due to their ability to reach Earth's escape velocity, multistage rockets can reach any maximum altitude. Rockets may produce significant accelerations and are powerful, light, and lightweight when compared to airbreathing engines.

In order for rockets to go forward and function in the vacuum of space, their action-reaction engines quickly discharge exhaust in the opposite direction.

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Answer:

Side = 13 cm

Step-by-step explanation:

To find the side of the square:

Area = 169 square cm

   [tex]\sf \boxed{\bf Side = \sqrt{area}}[/tex]

             [tex]\sf = \sqrt{169}\\\\ = \sqrt{13*13}\\\\ =13 \ cm[/tex]

Kloe can make 4 flower arrangement

The number of flowers in each flower arrangement is 6 sun flowers, 4 roses and 12 white carnations.

The number of flower arrangements can be calculated as follows;

The first step is to calculate the HCF between the three numbers

24= 6 × 4

16= 4 × 4

48= 12 × 4

The HCF is 4

Hence the number of flower arrangement is 4  and the number of flowers in each flower arrangement is 6 sun flowers, 4 roses and 12 white carnations

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Answer: y=-3x+6

Step-by-step explanation:

simplify ax+by=c into slope intercept which is y=mx+b

y=-3x+9.

since slopes are the same in parallel equations, graph the point (1,3) and go up 3, and left 1. the y intercept should be 6. I went left one because it's a negative slope, so in order for the line to be negative, you'd go left, not right.  y= -3x+6

By applying the laws of indices to each of the expression, the simplified expressions are matched as follows:

An exponent can be defined as a mathematical operation that is used to raise a quantity to the power of another and it is generally written as bⁿ.

In Mathematics, laws of indices can be defined as the standard principles and rules that are used for simplifying a mathematical equation or expression that involves powers of the same base.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In order to evaluate an expression, you should apply the PEMDAS rule, where operations within the parenthesis are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right. Lastly, the operations of addition or subtraction would be performed from left to right.

By applying the laws of indices to each of the expression, the simplified expressions are as follows:

5³ ÷ 5⁻¹ = 5⁽³ ⁻⁽⁻¹⁾ = 5⁽³ ⁺ ¹⁾ = 5⁴     ⇒ 5³ ÷ 5⁻¹ = 5⁴

5³ × 5⁻¹ = 5⁽³ ⁺ ⁽⁻¹⁾ = 5⁽³ ⁻ ¹⁾ = 5²

a⁻ⁿ = 1/aⁿ ≡ 5⁻⁴ = 1/5⁴

5⁻³ ÷ 5⁻¹ = 5⁽⁻³ ⁻⁽⁻¹⁾ = 5⁽⁻³ ⁺ ¹⁾ = 5⁻²

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Complete Question:

Directions: Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.

Simplify the expressions, and match the expressions that are equal in value.

5³ ÷ 5⁻¹

5³ × 5⁻¹

5⁻⁴

1/5⁴

5⁻³ ÷ 5⁻¹

Answer: Usaste el 75% de la leche y queda el 25%.

Step-by-step explanation:

Answer:

x= -11

Step-by-step explanation:

(x+3)/2 = -4

multiply both sides by 2

x+3 = -8

move 3 to other side through subtraction

x = -11