Use the graph of the function to find its domain and range. Write the domain and range in interval notation.

I’m not sure if I did it right

7. e = 2A - f

72. Area = 615.8 in.²

Circumference = 88.0 in.²

73. Area = 615.8 in.²

Circumference = 88.0 in.²

74. Missing length = √40 ≈ 6.3

75. Missing length = √45 ≈ 6.7

76. Scale factor = 18/6 = 3

77. Scale factor = 12/4 = 3

Area = πr²

Circumference = 2πr

7. A = (e + f)/2

2A = e + f

2A - f = e

e = 2A - f

72. r = 14 in.

Area = πr² = π(14²) = 615.8 in.²

Circumference = 2π(14) = 88.0 in.²

73. r = 30.2/2 = 15.1

Area = πr² = π(15.1²) = 615.8 in.²

Circumference = 2π(15.1) = 88.0 in.²

74. Missing length = √(6² + 2²) [Pythagorean Theorem]

Missing length = √40 ≈ 6.3

75. Missing length = √(6² + 3²) [Pythagorean Theorem]

Missing length = √45 ≈ 6.7

76. Scale factor = 18/6 = 3

77. Scale factor = 12/4 = 3

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Based on the amount the winner receives, the interest rate to be compounded annually, and the number of years, the amount that should be invested to award the price is $35,720.80.

The amount that should be invested is the present value of the $8,000 for the next 5 years. This amount would be the present value of an annuity due because constant payments that come at the beginning of a period are annuity dues.

Present value of annuity due = Annuity due x (Present value interest factor of annuity due, 6%, 5 years)

Solving for the amount to be invested to award the price gives:

= 8,000 x 4.4651

= $35,720.80

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Side of the given square room  flooring is 12 foot  

What is a square and its area?

A Square is a closed, two dimensional shape which has four sides and all four sides are equal and at 90 degree angle to each other .

As  all four sides are equal, Let each of the side of a square is a

Area of the square is given by = a*a

Given that a designer paid $4 per square feet for a square flooring

Total amount spent by the designer = $600

Total area of flooring = total amount spent /rate of per unit area

                                  = $600/$4 square foot =150 sq foot

Let the side of the given square flooring be x

Then area of the floor = [tex]x^{2} =150\\[/tex]

Thus side of the room floor = [tex]x=\sqrt{150}[/tex] = 12.25 = 12 foot

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Answer:

$70

Step-by-step explanation:

$50 to start do 2*10 to get 20 add those 50+20=70

Next, $30 to start do 4*10 to get 40 add those 30+40=70

They both come out o $70

Answer:

2.75

Step-by-step explanation:

A in a 4-unit class will be 4 x 4 = 16 points

B in a 3-unit class will be 3 x 3 = 9

C in a 3-unit class will be 2 x 3 = 6

D  in a 2-unit class will be 1 x 2 = 2

Total points = 16 + 9 + 6 + 2 = 33

Total credit hours = 4 + 3 + 3 + 2 = 12

GPA = 33/12 = 2.75

Graph of g is a translation where g(x) = (x+2)^2 - 2x – 1

f(x) = x^2 - 2x

g(x) = f(x+2) + 3

Translation is a movement of the graph either horizontally parallel to the x-axis or vertically parallel to the y-axis. A translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system. In a Euclidean space, any translation is an isometry.

Hence , g(x) = (x+2)^2 -2(x+2) + 3 = (x+2)^2 - 2x - 1. When we graph the equations, we can confirm that our answer is correct.

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Answer:

1, 2 and 3

Step-by-step explanation:

The numbers are 1, 2 and 3

When we add together : 1+ 2+ 3 = 6 and

When we multiply: 1 × 2 × 3 = 6

Answer:

$191.29

Step-by-step explanation:

Use the formula
[tex]A = P(1 + \dfrac{r}{100})^n[/tex]

where P is amount deposited, A the accrued amount, n number of years and r the interest rate in % compounded annually

The division by 100 is necessary to convert r% to a decimal for calculations

We have P = 850, r = 7% and n = 3

Plugging these in we get
[tex]A = 850\cdot (1 + (\dfrac{7}{100})^3\\\\A= 850\cdot(1 + 0.07)^3\\A = 850\cdot1.07^3\\\A = \$1,041.29[/tex]

Interest = A - P = 1041.29 - 850 = $191.29

Answer: B) as the x-values go to negative infinity, the functions values go to positive infinity.

Step-by-step explanation:

The expression that represents the statement is a - 15

The mathematical statement is given as:

The​ age, a, decreased by 15 years

The variable in the above mathematical statement is

Variable a

This means that the decrease the variable in the above mathematical statement by 15

When the variable in the above mathematical statement is decreased by 15 years, we have the following expression

a - 15

This means that the representation of the the variable in the above mathematical statement is a - 15

Hence, the expression that represents the statement is a - 15

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Answer:

Step-by-step explanation:

Point slope form y-y₁ = m(x-x₁)

y-14 = 12(x + 6)

y-14 = 12x + 72

y = 12x + 86

The expression to know many magazines kadien have left will be 60 - 5x.

From the information, Kadien had 60 magazines and he sells x magazines per day for 5 days.

The expression to calculate the number that will be left will be:

= 60 -(5 × x)

= 60 - 5x

The expression is 60 - 5x.

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Answer: x=11

Step-by-step explanation: 180-14 7= 33= angle EFB (angle in a straight line add up to 180)

Angle FBC= EFB= 33 (Alternate angles)

Angle DEB = EBC= 4x

4x- Angle FBC (33) =x

33= 3x

11=x

The average cost price of 2000 printed tennis balls will be $1500.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that a local college's service organization purchased 2,000 tennis balls with the school's logo on them. Tennis balls cost $.50 each from Sports Depot, and a one-time stamp costing $500 was added on top of that.

Total cost = ( 2000 x 0.5 ) + 500

Total cost = 1000 + 500

Total cost = $1500

Therefore, the average cost price of 2000 printed tennis balls will be $1500.

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Answer:

20 bags

Step-by-step explanation:

400/4 = 100, because it takes four apples to make a pound

100/5 because each bag holds 5 pounds,

20, bags filled with 5 pounds of apples

Answer:

Step-by-step explanation:

You want to solve the 6th-degree equation x^6 -9x^3 +10 = 0.

The equation is basically quadratic in x^3. Substituting z = x^3, we have ...

  z^2 -9z +10 = 0

  (z -10)(z +1) = 0 . . . . . factored form

  z = 10, z = -1 . . . . . . . values of z that make the factors zero

Now, we have two cubic equations to solve:

The real root is given by the cube root function. The imaginary roots are that value multiplied by 1∠±120° = (-1/2 ±(√3)/2i). Then the six roots are ...

__

Additional comment

The product ∛10√3 can be simplified to ...

  [tex]\sqrt[3]{10}\sqrt{3}=(10^{2/6})(3^{3/6})=(10^23^3)^{1/6}=\sqrt[6]{2700}\approx 3.7315903[/tex]

Answer:

269 R 15

Step-by-step explanation:

R means remainder

So if u divide 4857 by 18 you will get 269 reminder 15.

Answer:

Step-by-step explanation:

By solving this algebraic equation we get x=4 that

2x=11-3 2x=

x=8/

x=

so by putting 4 in above equation the answer will be true

But we have to find where the equation gets false so put any number except 4 in above equation i.e the simple case putt zero x=

11=2(0)+

11=

which is false also putt x=1 the equation will be also false.

o when we putt any number except 4 in that equation we it will be false.

Answer:

x = 4

Step-by-step explanation

11=2x+3

11-3=2x+3-3

For every 21 liters of petrol a car can run for 80 km- 58.2 liters of petrol would be required to ensure the car has enough petrol of a trip that is 224 km unitary method

It is provided that to run 80km car requires 21 liters of petrol

To know how much petrol is required for a trip of 224 km, we first would require to know how much petrol is required to run 1 km

This is called unitary method

Petrol required by car to run 1 km would be petrol required by car to cover 80kms of distance divided by 80 km of distance = 21 liters of petrol/ 80 km distance

                                                      = 21/80

                                                      =0.26 liters

So, petrol required by car for a trip of 224 km= 0.26 liters  ×224km

                                                                          = 0.26× 224

                                                                           =  58.24 liters

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Answer:

0.04

Step-by-step explanation:

I hope this is the answer you are looking for and I hope this helps!

The solutions to the questions are

The figure represents the given parameter.

On the figure, we have the following shapes:

The area is calculated as

Area = Area of rectangle 1 + Area of rectangle 2

So, we have

Area = 7 * 5 + 3 * 10

Evaluate

Area = 65

Hence, the area of the floor is 65 square feet

On the figure, we have the following shapes:

The perimeter is calculated as

Perimeter = Perimeter of rectangle 1 + Perimeter of rectangle 2

So, we have

Perimeter = 2 *(7 + 5) + 2 * (3 + 10)

Evaluate

Perimeter = 50

Hence, the perimeter of the floor is 50 feet

The total cost is calculated as

Total Cost = Cost of baseball * Area of baseball + Cost of tile * Area of tile

So, we have

Total Cost = 2 * 7 * 5 + 2.5 * 3 * 10

Evaluate

Total Cost = 145

Hence, the total cost to buy tile and baseboards for your bathroom is $145

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Answer:

  (-7, 5)

Step-by-step explanation:

You want to know the image of the point (-4, -6) after reflection in the x-axis and translation 3 left and 1 down.

The composition ...

  [tex]T_{-3,-1}\circ r_{\text{x-axis}}[/tex]

is interpreted to mean reflection in the x-axis occurs first, then translation by (-3, -1).

That is, a composition of transformations is evaluated right to left.

Reflection in the x-axis moves a point from below the x-axis to the same distance above the x-axis. That is, the sign of the y-coordinate changes:

  (-4, -6) ⇒ (-4, 6) . . . reflection in the x-axis

The translation vector is added to the coordinates of the point:

  (-4, 6) +(-3, -1) = (-4-3, 6-1) = (-7, 5)

The image of the point is located at (-7, 5).

The expression for Five more than the quotient of a number and 3 is 7 is (n/3) +5 =7.

The unknown number y is 6.

Any combination of terms that have undergone operations like addition, subtraction, multiplication, division, etc. is called as an algebraic expression (or variable expression).

given that Five more than the quotient of a number and 3 is 7.

the unknown number is y.

variable = y

now find the value of y.

This statement should be transformed into an equation.

A number divided by three can be written as

y/3.

Adding 5 now results in equation is

(y/3) + 5.

This is supposed to equal 7, therefore the equation is

(y/3) +5 =7.

now solve the equation

deducting 5 from both sides, you can solve for y to get

y/3 = 2.

Multiply 3 to both sides so that y is 6.

n = 6.

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Answer:

64

Step-by-step explanation:

because you use 8+8+8+8=32 so you multiply 8x8 to get 64

for perimeter you add all four side with the same number ad the four sides is 8

but for area you multiply the 2 side  and the two sides is 8

If Singer B took in ​$29 million less than Singer​ A, it means that Singer A generates $236 million and singer B generates $207 million in tickets sale.

The fact that singer B generated $29 million less than singer A means that if singer A generates x million , singer would generate (x-29) million in tickets salessingers:

443=2x-29

443+29=2x

472=2x

x=472/2

x=236singer

B's earnings=236-29

singer B's earnings=207

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Answer:

10.25

Step-by-step explanation:

Define the variable

Let x be the unknown number.

Therefore:

[tex]\begin{aligned}& \textsf{Four times a number}: \quad & 4x\\& \textsf{Twenty less than four times a number}: \quad & 4x-20\\& \textsf{Twenty less than four times a number is twenty one}: \quad & 4x-20=21\end{aligned}[/tex]

To find the number, solve the found equation for x:

[tex]\begin{aligned}\implies 4x-20&=21\\4x-20+20&=21+20\\4x&=41\\\dfrac{4x}{4}&=\dfrac{41}{4}\\x&=10.25\end{aligned}[/tex]

Therefore, the unknown number is 10.25.

As an improper fraction, this is ⁴¹/₄.

As a mixed number, this is 10 ¹/₄.

Answer:

x = 10.25

Step-by-step explanation:

Given that,

→ Twenty less than four times a number is twenty one.

The equation we form,

→ 4x - 20 = 21

Now the value of x will be,

→ 4x - 20 = 21

→ 4x = 21 + 20

→ x = 41/4

→ [ x = 10.25 ]

Hence, the number is 10.25.

The correct statements regarding the linear function in the graph are:

A linear function is modeled by:

y = mx + b

In which:

From the points, we have that:

Hence these points form a straight line with a slope of 1.5, that is:

y = 1.5x + b.

When x = 1, y = 3, hence we use it to find b as follows:

3 = 1.5 + b

b = 1.5.

Hence the relation is:

y = 1.5x + 1.5.

Since the y-intercept is different of 0, we have that:

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We may infer from the number line that A and B are separated by 8 units (AB).

Let AB stand for the separation between points A and B, and let AC stand for the separation between points A and C. Let B stand for the separation between points B and C. Hence:

Point B being halfway between A and C, we can infer:

AB + BC Equals AC (Postulated segment addition)

As a result, since the distance between points A and B is equal to 1/3 of AC:

AC/3 = AB = 1/3(AC)

But as shown in the accompanying image:

AC equals 16 – (–8) to 24 units.

Therefore:

AB = 1/24 = 8 unit

A and B are separated by 8 units.

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On the number line, Point B is between points A and C. The distance between points A and B is 1/3 of AC. What is AB?​