Consider this function. f(x) = 2x - 2 Which graph represents the inverse of function f?

Answer:

A. Left by 4 units

Step-by-step explanation:

ƒ(x) = x²

It has a vertex at (0, 0), and the y-axis is the axis of symmetry

g(x) = x² + 8x + 16 = (x + 4)²

You have added 4 to the value of x, so you have shifted the graph four units to the left.

Thus, to make the graphs of ƒ(x) and g(x) coincide, you should shift ƒ(x) left by 4 units.

The diagram below shows ƒ(x) in red and g(x) in green.

Answer:

x = - 3

Step-by-step explanation:

x = 8 is the equation of a vertical line parallel to the y- axis.

Thus a line parallel to it will also be vertical with equation

y = c

Where c is the value of the x- coordinates the line passes through

The line passes through (- 3, - 2) with x- coordinate - 3, thus

x = - 3 ← equation of parallel line

There is no equation of a line that is parallel to x=8 and passes through the point (-3, -2).

To find the equation of a line parallel to x = 8 and passing through the point (-3, -2), we need to know that a line with an equation x = a is a vertical line passing through the point (a, 0), and it has no slope. Since we need to find a line with the same slope as x = 8, we can set the equation to x = -3, which represents a vertical line passing through the point (-3, 0).

However, this line is parallel to x = 8 rather than passing through the point (-3, -2). Therefore, there is no equation of a line that is parallel to x = 8 and passes through the point (-3, -2).

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Box plots are useful for comparing the measure of variability in datasets. Specifically, they compare the interquartile range (IQR), which is the range covering the middle 50% of a dataset. This is represented by the box in the plot, and additional info like median and potential outliers are also shown.

In the field of statistics, box plots, also known as box and whisker plots, are useful for comparing the measure of variability in a data set. The specific measure of variability that can be compared using the box plots is called the interquartile range (IQR).

The IQR is the range within which the middle 50% of a dataset falls. It is calculated by subtracting the lower quartile (25th percentile) from the upper quartile (75th percentile). These quartiles are represented on a box plot by the edges of the box, which makes it easier to visually compare the variability of different datasets.Box plots also present additional information like median and potential outliers in the data.

Learn more about Box Plots here:

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Answer:

11x-4

Step-by-step explanation:

2x^2+7x-4

2x^2= 2x2 =4 x

4x+7x=11x-4

Answer:

Step-by-step explanation:

The formula of a surface area of a sphere:

[tex]SA=4\pi R^2[/tex]

R - radius

We have R = 30m.

Substitute:

[tex]SA=4\pi(30^2)=4\pi(900)=3600\pi\ m^2[/tex]

Answer:

2 days & 3 hours

Step-by-step explanation:

Answer: 6hrs

Step-by-step explanation:

Answer:

This for a science class I am guessing

Step-by-step explanation:

8 A -3×6

9 C 12×5 - 3×6

10 A 15× 120 min

11 D 5×-50

12 A add profit subtract expenses from profit total

13 B 118- 34 then divide by 2

14 A add the two costs

Answer:

10(n-4)

Step-by-step explanation:

10n-40=10(n-4)

If this is what you were asked to find, then that's the answer. Because 10n-40 is just an expression, it's not something you can solve for it, since it's not an equation. So I simplified this expression for you by factoring.

-82.5, -41 4/5, -13 1/8, -4.3

Final answer:

To arrange the numbers from least to greatest, you order them based on their value on the number line, with larger negative values representing smaller quantities. The numbers from least to greatest are -82.5, -41 4/5, -13 1/8, and -4.3.

Explanation:

To arrange the numbers -4.3, -82.5, -41 4/5 (which is -41.8), and -13 1/8 (which is -13.125) from least to greatest, we must compare their values on the number line. Larger negative numbers are those with the greater absolute value or those that are farther from zero in the negative direction.

Focusing on the given numbers:

-82.5 is the largest negative number, so it is the least.

-41 4/5 (or -41.8) is next, being less negative than -82.5.

-13 1/8 (or -13.125) is less negative than both -82.5 and -41.8.

-4.3 is the smallest negative number, so it is the greatest of the negatives.

Therefore, when ordered from least to greatest, the numbers are:

-82.5

-41 4/5

-13 1/8

-4.3

Answer:

y = -3/2 x + 3

Step-by-step explanation:

If two lines' slopes multiply to get -1, they are perpendicular to each other.

In -6x+9y-12=0, find the slope by converting to slope-intercept form.

Isolate y:

-6x+9y-12=0

-6x+9y = 12

9y = 6x + 12

y = 6/9 x + 12/9

y = 2/3 x + 4/3

The slope in this line is 2/3.

To find the slope of a perpendicular line, find its negative reciprocal. The negative reciprocal is when you switch the top and bottoms numbers and multiply it by -1.

2/3 => -3/2

The slope of the perpendicular line is -3/2.

In -8x+2y-6=0, find the y-intercept by converting to slope-intercept form.

Isolate y:

-8x+2y-6=0

-8x + 2y = 6

2y = 8x + 6

y = 8/4 x + 6/2

y = 2x + 3

Slope-intercept form is y = mx + b, which b is the y-intercept.

The y-intercept is 3.

Substitute the slope and y-intercept values into the equation of a line in  slope-intercept form.

y = mx + b

y = -3/2 x + 3

Answer:

28 n 2 + 64 n + 16

Step-by-step explanation:

Answer:

x ≤ 2

Explanation:

As with equations, there may be instances in which there is no solution to an inequality. Isolate the absolute value by subtracting 9 from both sides of the inequality. The absolute value of a quantity can never be a negative number, so there is no solution to the inequality.

Answer:

10oz

Step-by-step explanation:

1 lb = 16 oz, so

(6*16 +4)-(5*16+10)

100-90=

10 oz

First, put both into just ounces. (1lb = 16oz)

6lb 4oz = 100oz.

5lb 10oz = 90oz.

Second, subtract.

100 - 90 = 10oz.

This is the answer. Note that 1lb = 16lb, so we can't put 10oz into pounds.

______

Hence, the answer is 10oz.

______

Best Regards,

Wolfyy :)

Answer:

24:5

Step-by-step explanation:

Answer:

Parabola [tex]P^{2}[/tex] = 16A

Non-linear function.

Increasing function.

Step-by-step explanation:

Let a be the side length of a square ,

Then, Perimeter of square (P) = 4a

So, a can be written as a = [tex]\frac{P}{4}[/tex]

Area of square (A) = [tex]a^{2}[/tex] .

So, A = [tex]\frac{P^{2} }{4^{2} }[/tex]

        =  [tex]\frac{P^{2} }{16 }[/tex]

[tex]P^{2}[/tex] = 16A

It is the equation of parabola. (similar to [tex]y^{2}[/tex] = 4ax)

It is a non - linear function as square of Perimeter is related to Area , not directly Perimeter.

Also, it is a increasing function since as A increases P increases.

Final answer:

The function relating the area of a square to its perimeter is a quadratic function shown by the equation A = P²/16, which is graphed as a parabola. The graph is not linear, and it illustrates that as the perimeter increases, the area increases at an accelerating rate, hence it is always increasing.

Explanation:

To graph the function that relates the area of a square to its perimeter, first understand that the area A of a square is equal to the side length squared (s²), and the perimeter P is four times the side length (4s). These relationships can help us derive the function A = f(P). Here's how you would do it:

The graph of this function is not linear but a parabola opening upwards because it has the form of a quadratic equation A = P²/16. This means the graph will be an increasing curve as the perimeter increases, the area increases at an accelerating rate. It is important to note that the graph of this function is always increasing, and the rate of increase grows as the value of P increases

Answer:

478 R 4

Step-by-step explanation:

Answer:

OPTION A

Step-by-step explanation:

[tex]$ 9r + 2 = \frac{7(r - 5)}{3} $[/tex]

[tex]$ \implies 9r + 2 = \frac{7r - 35}{3} $[/tex]

Multiplying throughout by [tex]$ r $[/tex]we get:

[tex]$ 27r + 6 = 7r - 35 $[/tex]

[tex]$ \implies 20r = -41 $[/tex]

[tex]$ \therefore r = \frac{-41}{20} $[/tex]

OPTION A is the answer.

Answer:

The value of given expression for x = - 10  is - 81

Step-by-step explanation:

Given expression as :

3 [tex]\frac{4}{5}[/tex]x - 2 [tex]\frac{1}{2}[/tex]

Or, 3 +  [tex]\frac{4}{5}[/tex]x  - 2 -  [tex]\frac{1}{2}[/tex]

Or,  [tex]\frac{19}{5}[/tex]x -  [tex]\frac{5}{2}[/tex]

or,  [tex]\frac{38 x - 25}{5}[/tex]

Now for  x = - 10

[tex]\frac{38\times (- 10)  - 25}{5}[/tex]

Or, [tex]{38\times (- 2)  - 5}[/tex]

∴ - 76 - 5

Or, - 81

Hence The value of given expression for x = - 10  is - 81  Answer

Answer:

equation of the line = y=12x+45 i cant rlly graph it for you

Step-by-step explanation:

y-3 = 12 (x+4)

y-3 = 12x + 48

-3               -3

y=12x + 45

Answer:

The graph is uploaded in the attachment.

The value of x is 2.625.

Step-by-step explanation:

so, f(x)=y and g(x)=y.

( where m is the slope and c is the y-intercept )

(y-intercept is the the coordinate of a point where the line intersects y-axis)

(slope is the angle made by the line with the x-axis)

Answer:

The probability that he will get a red gumdrop and a piece of butterscotch candy is 2/25

Step-by-step explanation:

The path to find the answer is to find the probability of both things happening  and then multiply them. First, there is 1 red gumdrop and 4 green gumdrops in a jar. There are 5 gumdrops total so the probability of choosing a red one is 1/5. Next, there are 2 pieces of butterscotch candy and 3 pieces of cinnamon candy in another jar. There are 5 pieces of candy total so the probability of choosing a piece of butterscotch candy is 2/5. Finally multiply the two probabilities: 1/5 * 2/5 = 2/25.

The probability that Craig will draw a red gumdrop from the first jar and a butterscotch candy from the second jar is 0.08 or 8%.

The subject of this problem is probability. Probability refers to the measure of the likelihood that an event will occur in a random experiment. In this specific problem, Craig randomly chooses one candy from each jar. We want to find the likelihood that Craig will choose one red gumdrop and one piece of butterscotch candy.

There are a total of 5 gumdrops in the first jar, with 1 being red. Thus, the probability of choosing a red gumdrop is 1/5. In the second jar, there are a total of 5 pieces of candy, with 2 being butterscotch. As such, the probability of choosing a butterscotch candy is 2/5.

To calculate the total probability, you multiply both probabilities, getting a final probability of (1/5) * (2/5) = 2/25 = 0.08. This means that there is an 8% chance that Craig will draw a red gumdrop and a butterscotch candy.

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Answer:

$650

Step-by-step explanation:

9100-4500     = 4550

    14-7                  7

= 650

     1

=$650

Answer:

y=3 is the answer to this

Answer:

-3

Step-by-step explanation:

Answer:

3

d

=

−

36

Step-by-step explanation:

Final answer:

The area of the rectangle is 12.8 square inches.

Explanation:

The area of a rectangle can be found by multiplying its length by its width. In this case, the length of the rectangle is 1.6 inches and the width is 8 inches. So, the formula for the area is:

Area = length x width

Substituting the given values, we get:

Area = 1.6 inches x 8 inches = 12.8 square inches

Answer:

Sale price is $12 which is 80% of the regular price.

Step-by-step explanation:

A large two-topping Pizza is 20% off the regular price of $15.

Therefore, the sale price is [tex]15(1 - \frac{20}{100} ) = 15 \times 0.8 = 12[/tex] dollars. (Answer)

Now, let us assume that x% of regular price i.e. $15 is the sale price i.e. $12.

So, [tex]\frac{15 \times x}{100} = 12[/tex]

⇒ [tex]x = \frac{12 \times 100}{15}[/tex]

⇒ x = 80%  (Answer)

Answer:

15 regular price 20% discount ? sale price and the next answer is 0.8(15) and the sale price gone be 12.

Step-by-step explanation:

I did the I-ready Hope this helps.

0.8(15) answer 12 so thats how I know thats the sale price and they wanted to know what was the sale price. I did the I-ready..Now have a good day at school or whatever.

which of the following is written in correct scientific notation?

Considering the dimensions of the given rectangular prism and it's volume, the height of the chest is of 8 inches.

The volume of a rectangular prism of width w, length l and height h is given by the multiplication of these dimensions, as follows:

V = lwh

For this problem, the dimensions are given as follows:

w = 16, l = 4h, V = 4096.

Hence the height of the chest can be found as follows:

lwh = 4096

16 x 4h x h = 4096

h² = 4096/64

h² = 64

h = 8.

Hence, the height of the chest is of 8 inches.

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Answer:

one and fifty six hundred thousandths

Answer:

one and fifty-six ten-thousandths

~ or, simpler ~

one point zero zero five six

Step-by-step explanation: hope this helps :)