Which of the following functions has the same horizontal asymptote as the function graphed below?

f(x)=-3^x+2 +2

f(x)=2^x-3

f(x)=3^x+2 -2

f(x)=2^x+2 -3

Answer:

33/4

Step-by-step explanation:

8x4 +1 = 33

Answer:

33/4

Step-by-step explanation:

Answer:

1370.75

Step-by-step explanation:

Answer: She earns 482.50

Step-by-step explanation:

Answer:

y = -(1/2)x + 2

Step-by-step explanation:

2y = -x + 4

y = (-x + 4)/2

y = -(1/2)x + 2

Answer:

Step-by-step explanation:

7/12 is greater than 1/3 because it has a greater numerator and denominator it is less than 2/3 because the numerator is smaller

A function from x to y represents a situation where each x value is linked to a unique y value. This can be represented in a mapping diagram, such as with the points (1,5), (2,10), (3,7), and (4,14). Such a diagram showcases the fact that different x values trigger different y values, demonstrating the dependence of y on x.

A function from x to y implies that when the value of x changes, it directly influences the value of y. One way to represent this is through a mapping diagram.

A mapping diagram that represents a function can be visualised as each value of x corresponding to a unique value of y. For example, refer to the following points: (1,5), (2,10), (3,7), and (4,14). Here, every x value is paired with a unique y value. When these points are plotted, there's no x value that corresponds to more than one y value, demonstrating the dependence of y on x.

Therefore, a function from x to y is represented by a mapping diagram where different x values are linked to unique y values, showing the dependency of y values on the x values.

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Answer:

314 mile²

Step-by-step explanation:

area = πr² = 3.14 x 10² = 314 mile²

Answer:

200- software (x)          225- video game (y)    = 425 items

Step-by-step explanation:

software- 200 = $10,000      video-225 = $7,875

                              total= $17,875

200x + 225y = $17,875

Final answer:

The expression (889 x 27) + 50 is greater than 889 x 27, because adding 50 to any product will always result in a larger number.

Explanation:

The student's question is asking to compare the result of the expression (889 x 27) + 50 with 889 x 27, without actually calculating the precise values.

First, let's evaluate the structure of the expressions. When we have an expression of the form (a x b) + c, adding any number c to the original product of a and b will always result in a value greater than the original product. This is a basic property of arithmetic progression.

Based on this property, we know that (889 x 27) + 50 is definitely greater than 889 x 27 because we are adding a positive number (50) to the original product, hence the sum must be larger.

Answer:

x = 7.002 or 7

Step-by-step explanation:

5x/3 + 1/3 = 12

        - 1/3  - 1/3

5x/3 = 11 2/3

3(5x/3) = 3(11 2/3)

5x = 35.01

x = 7.002 or 7

Answer:

Step-by-step explanation:

When learning about commutative and associative properties, we learn that ...

  a + b = b + a . . . . . addition is commutative

  ab = ba . . . . . . . . . multiplication is commutative

But we also know that ...

  a - b ≠ b - a . . . . . . subtraction is not commutative

  a/b  ≠ b/a . . . . . . . . division is not commutative

__

We also learn that ...

  a + (b+c) = (a+b) +c . . . . addition is associative

  a(bc) = (ab)c . . . . . multiplication is associative

And of course, ...

  a - (b -c) ≠ (a -b) -c . . . . subtraction is not associative

  a/(b/c) ≠ (a/b)/c . . . . . . . division is not associative

_____

However, you can use associative and commutative properties in problems involving subtraction and division if you write the expression properly:

  a - (b - c) = a +(-(b -c)) = a +((-b) +c) = (a +(-b)) +c . . . . keeping the sign with the value makes it an addition problem, so the associative property can apply

  (a/b)/c = (a(1/b))(1/c) = a(1/b·1/c) = writing the division as multiplication by a reciprocal makes it so the associative property can apply

Answer:

addition

multiplication

Multiply the weight by the amount they took out:

4 2/5 x 5/8

Rewrite as 22/5 x 5/8

(22 x 5) / (5 x 8)

Simplify:

110/40

Rewrite as a proper fraction:

2 3/4 ounces.

Answer:

The slope of straight line in the graph is

m = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Slope of a given line is [tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} }[/tex]........(1)

The point (-2,0) lie on x-axis in the graph and another point ( 0, 1) lie on y- axis.

so [tex](x_{1} , y_{1}) = (-2,0) and (x_{2} , y_{2}) = (0,1)[/tex]

substitute these values in equation (1)

[tex]m = \frac{1-0}{0-(-2)}[/tex]

[tex]m = \frac{1}{2}[/tex]

slope of given line is [tex]m = \frac{1}{2}[/tex]

Answer:

42

Step-by-step explanation:

120*35=4200

4200/100=42

Answer:1

Step-by-step explanation:

The function that represents the interest on this loan after years is Interest = Principal × Rate × Time.

The function that represents the interest on this loan after years can be calculated using the formula for simple interest:

Interest = Principal × Rate × Time

In this case, the principal is $8,000, the rate is unknown, and the time is 2 years. The interest paid back is $8,160, so we can rewrite the formula as:

$8,160 = $8,000 × Rate × 2

Dividing both sides of the equation by $8,000 × 2 gives:

Rate = $8,160 / ($8,000 × 2)

Solving this equation gives a rate of 0.51, or 51%.

A. Yes the table represents a proportional relationship

B. The constant of proportionality is 1.2

Step-by-step explanation:

Two quantities are proportional if:

∵ Total wight in pounds ⇒ 12  ,  18  ,  30  ,  60

∵ Number of books ⇒ 10  ,  15  ,  25  ,  50

- Divide each two corresponding data to check if all they give

   the same constant or not

∵ 12 ÷ 10 = 1.2

∵ 18 ÷ 15 = 1.2

∵ 30 ÷ 25 = 1.2

∵ 60 ÷ 50 = 1.2

- That means the total wight is equal to constant times the

   number of books

∴ Total wight = 1.2 Number of books

∴ The total wight and the number of books are in a proportional

    relationship

A. Yes the table represents a proportional relationship

∵ Total wight = 1.2 Number of books

∴ The constant of proportionality = 1.2

B. The constant of proportionality is 1.2

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9y - 4 - 11y + 7

Terms: 9y, -4, -11y, 7

Like terms: 9y and -11y

Coefficient : 9, -11

Constants: 7, -4

Solution:

Given expression is:

9y - 4 - 11y + 7

We have to find the terms, like terms, coefficient and constants

Each term in the expression is called terms

It includes, numbers, variables also

Terms : 9y and -4 and -11y and 7

A coefficient is a number used to multiply a variable

Here the terms with variables are 9y and -11y

Coefficient : 9, -11

"Like terms" are terms whose variables are the same and thier powers is also same

Like terms : 9y and -11y

The constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number

Constants: 7 and -4

Answer:

22 + 5 ÷ 9 = 3

Proof:

27/9

= 3

the number is 22

Non-vertical parallel lines have equal slopes, while slopes of non-vertical, non-horizontal perpendicular lines are negative reciprocals of each other. Vertical lines are defined as having an infinite slope, thus they must be non-vertical to consider their slopes.

When considering the slopes of lines on a graph with perpendicular axes, like the x-axis and the y-axis, we can draw several conclusions about parallel and perpendicular lines. If two non-vertical lines are parallel, their slopes are equal, because the tilt of the lines with respect to the horizontal axis is the same. For example, if we have two equations of lines in the form y = mx + b, where m represents the slope and b represents the y-intercept, parallel lines would have the same value of m.

If two lines are perpendicular and neither line is parallel to an axis, then their slopes are negative reciprocals of one another. This holds true because the product of the slopes of two perpendicular lines is -1. For example, if the slope of one line is a, the slope of the line perpendicular to it will be -1/a.

It is necessary for the lines to be non-vertical because a vertical line does not have a well-defined slope; its slope is considered infinite. Therefore, the definition of perpendicular lines in terms of slope only applies to non-vertical lines.

Answer:

1)B:63°

2)A:59°

Step-by-step explanation:

1.ABC is a right triangle at C then angle ACB=90°(right angle)

Angle CAB=27°(see the given)

measure of the angles in any triangle is 180°

then angle CBA=

measure of all the angles - (measure ACB+measure CAB)

=180°-(90°+27°)

=63°

2. Same explanation of angle B:

in the right triangle DEF: angle DEF=90°

angle D=31°(given)

Then measure of angle A=180°-(angle E + angle D)

=180-(90+31)=59°

Answer:

81

Step-by-step explanation:

To find the 21 st term substitute n = 21 into the formula

[tex]x_{21}[/tex] = 4(21) - 3 = 84 - 3 = 81

Answer:

6

Step-by-step explanation:

The tip i will leave is of 6 dollars.

Percentage is the value per hundredth. Suppose we have 500 dollars and we need find 50% of it.We know 50% of 500 dollars is half of it which is 250 dollars.

To find 50% of 500 dollars we put the the given percentage on numerator and divide by hundred and multiply it by the given amount.

∴ (50/100)×500

= 250 dollars.

According to the given question

You go out to dinner and the bill is $40 and you want to leave the server a 15% tip.

We have to find what is 15% of 40 dollars which is

= (15/100)×40 dollars.

= 6 dollars.

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Answer:

You solve equations algebraically by using equations to answer and having variables rather than the arithmetic way (doing the work).

Ex: instead of 20÷5=4 (arithmetic), you do

20=5x

Answer:

6

Step-by-step explanation:

360 is a full turn so, 360 divided by 60 is 6

Answer:

A. 25°

Step-by-step explanation:

We are given a circle and two intersecting lines of circle meets at s and form an angle 34° at S.

Also, we have W and X points on circle that form a minor arc and T and R makes a major arc of angle 93°.

In order to find the value of minor arc WX, we need to apply following formula:

Subtends angle on intersection of lines  =  [tex]\frac{Major Arc- Major Arc} {2}[/tex]

Plugging values in above formula, we get

34= [tex]\frac{93 - x }{2}[/tex]

On cross multiplication, we get

34 × 2 = 93-x

68 = 93 -x

x = 93-68

x= 25.

Hope this helps and you understand !!!!!!

Answer:

320

Step-by-step explanation:

j u s t a g u e s s b u t i t h i n k i t s r i g h t

To find the area percentage increase when the area of a parallelogram increased from 40 to 128 square centimeters, calculate the percentage change as 220%.

The area percentage increase can be calculated as follows:

Answer:

when you have two fractions that equal each other you want to solve by using cross multiply

What cross multiply is, is when you multiply diagonally so:

8/x=14/7

you would take 14*x and 8*7

14x=56 (you would then divide each side by 14)

x=4 (14/14=1, 56/14=4)

8/4=14/7

To check your work you could simplify

8/4=2

14/7=2

2=2, which is true

x=4

Hope this helps ;)

Answer:

Step-by-step explanation:

No. of white bands = 15% of 360 = (15/100)*360= 54

No.of red bands = 360 - 54 = 306

No. bands remaining = 360 - 140 = 220

No. of remaining white bands = 20% of  220= (20/100)*220 = 44

No. of remaining red bands = 220 - 44 = 176

No. of red band used = No.of red bands - No of remaining bands

= 306 - 176 = 130