11. Given f(x) = -2/5x +4, which statement is true of the inverse function f-¹(x)?

1) f-¹(x) is a line with slope 5/2
2) f-¹(x) is a line with slope 2/5
3) f-¹(x) passes through the point (6,-5)
4) f¹(x) has a y-intercept at (0,-4).

The scale factor from the given similar triangles is 3.5 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle ABC and triangle DEC are similar.

DE=6, AB=21, DC=4, EC=2x+3, and BC=13x-1.5.

Since, ΔABC similar to ΔDEC

So, AB/DE =AC/DC =BC/EC

21/6 =13x-1.5/2x+3

7/2 =13x-1.5/2x+3

7(2x+3)=2(13x-1.5)

14x+21=26x-3

26x-14x=21+3

12x=24

x=2

So, EC=2x+3 =7 and BC=13x-1.5 =24.5

Now, AB/DE =BC/EC

21/6=24.5/7=3.5

Therefore, the scale factor is 3.5 units.

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Answer:

144

Step-by-step explanation:

divide 20 by 100 and multiply by the amount. The amount in this case is 180. Subtract the number from 180. Youll get 36, so subtract 36 from 180 and youll get 144.

Answer:

My pleasure in French is Mon Plaisir

Answer:

You can say ''my pleasure '' in French ''

Step-by-step explanation:

mon plaisir

Answer Im not exactly sure

Step-by-step explanation:

The number of wireless speakers that must be produced and sold in order for the company to break even is 186 and the profit function can be given as 62n -11200.

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given;

A company sells wireless speakers for $140 each,

cost of $78 per wireless speaker and the fixed cost is $11200,

Write the function of cost as shown below,

Cost price = 11200 + 78n

Here, n is the number of speakers

Calculate the profit as shown below,

profit = 140n - 11200 - 78n

profit = 62n -11200

Calculate the breakeven point as shown below.

62n -11200 = 0

n = 11200 / 62

n = 180.6

n = 181

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This equation is in This equation is in slope intercept form. The y intercept is (0,-13) and the slope is 7.

The slope intercept form of a linear equation has the following form where the equation is solved for y in terms of x:

a  is a constant term. It is the y intercept, the place where the line crosses the y axis.

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Answer:

788.48 sq feet

Step-by-step explanation:

Because you have to multplie

Answer:

  Saskatchewan Glacier

Step-by-step explanation:

You want to know the greater rate, 1.5 km in 75 years, or 1320 m between 1923 and 1993.

The rate of glacier recession is the ratio of distance to time:

Saskatchewan Glacier

  (1500 m)/(75 yr) = 20 m/yr

Peyto Glacier

  (1320 m)/(1993 -1923 yr) = 1320/70 m/yr ≈ 18.86 m/yr

The Saskatchewan Glacier had a greater annual rate of melting.

Answer:

Step-by-step explanation:

81 texts in 9 hours

So you do 81 divided by 9

Which givrs you 9 text an hour

A figure has rotational symmetry when it can be rotated by an angle measure which is greater than 0º and less than 360º and the rotated image is equals to the original figure, that is, the image is equals to the pre-image.

A square is divided into four congruent sides, hence it has rotational symmetry, while the unit circle, over which the figures are rotated, is of 360º, hence the angle is given as follows:

360/4 = 90º.

The second figure has three equal arrows, hence it also has rotational symmetry, with an angle given as follows:

360/3 = 120º.

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Answer:

(-33,2)

Step-by-step explanation:

The amount of money left with Miguel is $8.15

Miguel has $20

He spends $6 on movie ticket

He spends $3.85 for snacks

He also spends $2 for bus fare

The total expenses is

6 + 3.85 + 2

= 11.85

The amount left is

20- 11.85

= 8.15

Hence Miguel has $8.15 left

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Kelly earn more money per hour.

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:

Operator: An operator is the sign used to represent a mathematical operation, such as + for addition, subtraction, multiplication, and division.

Given amount earned by Kelly in 10 hours = $105.50

amount earned by Kelly in 1 hour  = 105.5/10 = $10.50

amount earned by Brittany in 14 hours = $140

amount earned by Brittany in 1 hours = 140/14 = $10

Hence Kelly earn $0.50 more than Brittany.

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The total assets of the company if assets are Cash $35,000, Inventory $41,000, Property $124,000, The liabilities are Notes $45,000, and Wages $56,000 is $200000.

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

Given:

The assets are Cash $35,000, Inventory $41,000, Property $124,000,

The liabilities are Notes $45,000, Wages $56,000

The Equity are Stock $50,000, Investment $49,000

Calculate the total assets as shown below,

the total assets = 35000 + 41000 + 124000

the total assets = 200000

Calculate the total liabilities and equity as shown below,

The total liabilities and equity = 45000 + 56000 + 50000 + 49000

The total liabilities and equity = 200000

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The correct equation which represents the perimeter in terms of the width, w is,

⇒ 2 (9 + w) = 42

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

Misaki is measuring her office, which is rectangular.

And, The length of the room is 9 ft and the perimeter is 42 ft.

Now, We know that;

⇒ Perimeter of rectangle = 2 (Length + Width)

Here, The length of the room is 9 ft and the perimeter is 42 ft.

So, We can formulate;

⇒ Perimeter of rectangle = 2 (Length + Width)

⇒ 42 = 2 (9+ w)

Thus, The correct equation is,

⇒ 42 = 2 (9+ w)

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Answer:

y = 4/5x + 8

Step-by-step explanation:

y-intercept = b = 8  

Use the points (-10,0) and (0,8) to find the slope (m)

m = (8 - 0)/(0 - (-10)) = 8/10 = 4/5

y = mx + b

y = 4/5x + 8

The scenario that will bring about less interest will be Borrowing $1750 for six months at a simple interest rate of 7%.

It should be noted that the simple Interest is calculated by using the formula thus:

= Principal × Rate × Time

Borrowing $1750 for six months at a simple interest rate of 7%. The simple interest will be:

= $1750 × 7% × 6/12

= $61.25

Borrowing $1750 for five months at a simple interest rate of 9%. The simple Interest will be:

= $1750 × 9% × 5/12

= $65.64

Therefore, Borrowing $1750 for six months at a simple interest rate of 7% has less simple interest.

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The number of solutions the equation 2x + 2x + 2 = 4 + 2x have is 1

From the question, we have the following parameters that can be used in our computation:

2x + 2x + 2 = 4 + 2x

Subtract 2x from both sides of the equation

So, we have the following representation

2x + 2 = 4

Subtract 2 from both sides of the equation

So, we have the following representation

2x = 2

Divide both sides by 2

x = 1

Hence, the equation has 1 solution

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Answer: 5/2

Step-by-step explanation:

Slope = 5/2

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]9^{-0.5}[/tex]  to make the exponent positive, put it over 1.

[tex]\frac{1}{9^{0.5} }[/tex]  another way to write this is

[tex]\frac{1}{\sqrt{9} }[/tex]

[tex]\frac{1}{3}[/tex]    

f¹(x) = (x + 7)², for x ≥ -7 inverse function is the correct answer.

Function is a specific set of instructions that are designed to carry out a particular task or operation. Functions are commonly used in computer programming to organize code and make it easier to understand and maintain. A function can take input, such as a number or text string, process it, and return an output. This output can be used by other functions or for other purposes. Functions are also used in mathematics, where they are referred to as mathematical functions, and are the building blocks of algebra and calculus.

The inverse of a function f(x) = √x + 7 is f¹(x) = (x + 7)², for x ≥ -7.

This can be seen by substituting x with √x + 7 to get x + 7 = √x + 7, which can be rearranged to (x + 7)² = x. Therefore,

the inverse of the given function is f¹(x) = (x + 7)², for x ≥ -7.

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Which symbol replaces ? to make the statement true?

2 x 18 - 18 ? 2 x [28-3 x (2+4)]

will mark brainliest and will give thanks

the answer : <

Answer:

To use the distributive property to remove the parentheses in the expression "-4(-6v-4w+1)", you need to distribute the negative 4 to each of the terms inside the parentheses. This gives you the following:

(-4*-6v) + (-4*-4w) + (-4*1)

Simplifying this expression, we get:

24v + 16w - 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

use distributive property to remove parenthesis -4(-6v-4w+1)

-4(-6v - 4w + 1) =

24v + 16w - 4

The distance between the points (-2, -2) and (2, 2) will be 4√2 units.

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

Let one point be (x, y) and another point be (h, k).

Then the distance between the points will be

D² = (x - h)² + (y - k)²

The two points are given below.

(-2, -2) and (2, 2)

Then the distance between the points are given as,

D² = (2 + 2)² + (2 + 2)²

D² = 4² + 4²

D² = 16 + 16

D² = 32

D = 4√2 units

The distance between the points (-2, -2) and (2, 2) will be 4√2 units.

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The statement is true that sin(0) = 0.731, then csc(0) = 2.212.

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The function g(x), considering that h(x) is the composite function of f(x) and g(x), is given as follows:

g(x) = x + 6.

The composite function of f(x) and g(x) is given by the following rule:

h(x) = (f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

The functions for this problem are defined as follows:

Hence the function g(x) is defined as follows:

g(x) = x + 6.

As the application of the composite function is given as follows:

[tex]h(x) = (f \circ g)(x) = f(x + 6) = \sqrt[4]{x + 6 + 1} = \sqrt[4]{x + 7}[/tex]

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Answer:

If both of the opposite sides are parallel then the quadrilateral is a parallelogram.  If the slopes are the same and the constants are different than the lines are parallel.

Step-by-step explanation:

If both of the opposite sides are parallel then the quadrilateral is a parallelogram.  If the slopes are the same and the constants are different than the lines are parallel.

(-32) ( 3,2)    and side (-5,-2) (1,-2)

(-3, 2) (3,2)

Slope [tex]\frac{2-2}{3- -3}[/tex] = [tex]\frac{0}{6}[/tex] = 0

y-intercept

2 = 0(3) + b

2 = b

Equation

y = 0x + 2

y = 2

(-5,-2) ( 1,-2)

slope [tex]\frac{-2 - -2}{1 - -5}[/tex] = [tex]\frac{0}{6}[/tex] = 0

y-intercept

-2 = 0(1) + b

-2 = b

Equation

y = 0x - 2

y = -2

These sides are parallel because the slope is the same and the y-intercepts are different.

Sides (-3,2) (-5,-2) and (3,2) (1,-2)

(-3,2) (-5,-2)

slope [tex]\frac{-2 -2}{-5 - -3}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2

y-intercept

-2 = (2)(-5) + b

-2 = -10 + b

8 = b

Equation:

y = 2x + 8

(3,2) (1,-2)

slope [tex]\frac{-2-2}{1-3}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2

y-intercept

2 = (2)(3) + b

2 = 6 + b

-4 = b

Equation

y = 2x -4

The sides are parallel because the slopes are the same, but the y-intercept are different.

Given:

Recall properties of a parallelogram:

Prove that same applies to the given quadrilateral.

1) Opposite sides are: MH & AT and MA & TH.

MH and AT have same y-coordinates and therefore both are horizontal, hence parallel.

Their lengths:

Same can be proved for MA &TH.

2) Find the midpoint of diagonals MT and AH.

Midpoint of MT:

Midpoint of AH:

Both diagonals have same midpoint (-1, 0). This proves that diagonals bisect each-other.

Therefore MATH is a parallelogram.