If r(x) = 2 – x2 and w(x) = x – 2, what is the range of (w.r) (x)?

Answers

Answer 1
Final answer:

The range of (w.r)(x) is all real numbers.

Explanation:

The range of (w.r)(x) can be found by substituting the value of x from w(x) into r(x). So, we have:

(w.r)(x) = r(w(x)) = 2 - (x - 2)^2 = 2 - (x^2 - 4x + 4) = 6 - x^2 + 4x.

Therefore, the range of (w.r)(x) is all real numbers.


Related Questions

The histogram shows the weekly attendance of participants in a school's study skills program. Student attendance numbers were the same during which two weeks of the workshop?

Answers

Student attendance numbers were the same during which two weeks of the workshop? B. weeks 2 and 4

Explanation:

A histogram is the graphical display of data by using bars of different heights. Histograms provide a visual interpretation of numerical data by indicating the number of data points that lie within a range of values. Histogram was first introduced by Karl Pearson in 1891.

Some histograms presented with the independent variable along the vertical axis and dependent variable along the horizontal axis.  The histogram attached below shows the weekly attendance of participants in a school's study skills program. In the histogram the x axis is number of weeks and y axis is number of students in attendance.

According to the histogram attached we can see that in week 1 the Student attendance was 8, in week 2 the Student attendance was 12, in week 3 the Student attendance was 15, in week 4 the Student attendance was 12, in week 5 the Student attendance was 18, in week 6 the Student attendance was 16. Hence the Student attendance numbers are the same during week 2 and 4 of the workshop. Therefore the correct option is B

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Student attendance numbers were the same in week 2 and 4

What is a histogram?

A histogram is a graphical representation of data that uses bars of various heights. By showing how many data points fall inside a certain range of values, histograms provide numerical data a visual interpretation. Karl Pearson initially described the histogram in 1891.

In some histograms, the dependent variable is displayed along the horizontal axis and the independent variable is given along the vertical axis. Participants in a school's study skills program's weekly attendance are depicted in the histogram below. The number of weeks is on the histogram's x-axis and the number of students present is on the y-axis.

GIVEN

The histogram that is attached shows that the student attendance for the first week was 8, for the second week was 12, for the third week was 15, for the fourth week was 12, for the fifth week was 18, and for the sixth week was 16. Thus, the student attendance figures for weeks two and four of the program are identical.

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2, 6, 18, 54,....
Find the common ratio of the given sequence, and write an exponential function which represents the sequence. Use n = 1, 2, 3, ...


A) 3; f(n) = 2(3)n-1

B.) 1/3; f(x) = 2(3)n-1

C) 3; f(n) = 2(1/3)n-1

D). 1/3; f(n) = 2(1/3)n-1

Answers

Answer:i think it is c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3; f(n) = 2(3)n-1 is correct. Since each term is multiplied by 3 to get to the next term, the common ratio is 3. The common ratio is also the base of an exponential function.

In the drawer, there are 9 knives, 9 spoons, and 4 forks. What is the probability of randomly drawing a knife or spoon?

Answers

Answer:

Hello! Your answer is 36%

Step-by-step explanation:

9+9=18.

18/5 = 18÷5

18÷5 = 3.6 = 36%

HOPE THIS HELPS!

Answer:

Your answer is 36%

Step-by-step explanation:

9+9=18÷5=3.6=36%

Which of the following are considered measures of center?

I. mean
II. median
III. mean absolute deviation

Answers

Answer:

only 1 and 2

(mean and median)

the mean absolute deviation is the measure of variability

Step-by-step explanation:

Mean and median are the measures of center

A ball rolled 258 feet in 2 minutes.what was this balls average speed,in feet per second?

Answers

[tex]

d = 258ft \\

t = 2min = 2\cdot 60s = 120s \\

s = \frac{d}{t}=\frac{258ft}{120s}=\boxed{2.15\frac{ft}{s}}

[/tex]

Answer:

The balls average speed was 2.15 feet per second.

Hope this helps.

Step-by-step explanation:

There are 60 seconds in a minute, and there are 2 minutes so you add 60 and 60, which would give you 120 seconds. Then you would divide 258 by 120, which would give you 2.15

plzzz help me quick!!!

Answers

Answer:

A.) 8n - 359

Step-by-step explanation:

8(1) - 359 = -351

8(2) - 359 = -343

8(3) - 359 = -335

Which expression is represented by the model?


A. X-3
B. X+3
C. -X-3
D.-X+3

Answers

first we know that the X is negative so we can ignore number A and B because they are positive.

Then we are left with two solutions and if you referred to the picture we know that whatever comes after has to be positive

So the correct answer is D

Answer:

D. -X + 3.

Step-by-step explanation:

There are 3 plus signs and a -x.

In set builder notation Write a compound inequality to represent all of the numbers between -4 and 6. (example..... {x|2

Answers

For this case, we must represent the numbers that are included between -4 and 6. Let "x" be the variable that represents these numbers, then we have:

[tex]-4 <x <6[/tex]

If the set includes -4 and 6 then we have:

[tex]-4\leq x\leq 6[/tex]

Answer:

[tex]{x | -4 <x <6}[/tex] or

[tex]{x | -4\leq x\leq 6}[/tex]

what is 2.8985 converted into a fraction

Answers

the answer is: (check the image the answer is on the image)

Answer:

2 1797/2000

Step-by-step explanation:

Which of the following points satisfies the inequality x ≥ -3? (Select all that apply.) (0, -2) (5, -5) (-3, 4) (-4, 2)

Answers

Answer:

The correct answer is (0, -2) (5, -5) (-3, 4)

Step-by-step explanation:

The given inequality is x ≥ -3

To find the correct answers

1) (0, -2)

x ≥ -3

0 ≥ -3  TRUE

2) (5, -5)

x ≥ -3

0 ≥ -3 TRUE

3) (-3, 4)

x ≥ -3

0 ≥ -3 TRUE

4) (-4, -2)

x ≥ -3

5 ≥ -3  FALSE

Therefore the  correct answer is (0, -2) (5, -5) (-3, 4)

Answer:

(0,-2)

(5,-5)

(-3,4)

Step-by-step explanation:

The given inequality is [tex]x\ge -3[/tex]

If any of this points is a solution, then it must satisfy the given inequality;

We substitute the first point (0,-2) to obtain;

[tex]0\ge -3[/tex]. This is true. hence (0,-2) is a solution.

We substitute the first point (5,-5) to obtain;

[tex]5\ge -3[/tex]. This is also true. Hence (5,-5) is a solution.

We substitute the first point (-3,4) to obtain;

[tex]-3\ge -3[/tex]. This is also true. Hence (-3,4) is a solution.

We substitute the first point (-4,2) to obtain;

[tex]-4\ge -3[/tex]. This is false. Hence (-4,2) is not a solution.

The first three options are correct.

Find the surface area of this triangular prism Please help is appreciate it

Answers

Answer: 5,376in.

Step-by-step explanation:

Volume of a prism = Bh

B = 1/2bh

B = 7 x 24 = 168

168 x 32 = 5,376in.

Which expression is equivalent to sqrt 10 / 4 sqrt 8

Answers

Answer:

Step-by-step explanation:

Keep in mind that we want to eliminate the radical from the denominator.  Note that the denominator is equal to

8^(1/4) = (2^3)^(1/4).

If we multiply the entire given expression by 2^(1/4), we get:

2^(1/4)           √10

----------- * -----------------

2^(1/4)       (2^3)^(1/4)

or

2^(1/4)           √10            2^(1/4) · √10          2^(1/4) · 10^(2/4)    

----------- * ----------------- = ---------------------- = ---------------------------

2^(1/4)       (2^3)^(1/4)         2^(1/4 + 3/4)                2                          

    2^(1/4) · 10^(2/4)           2^(1/4) · 100^(1/4)        200^(1/4)

= ------------------------------ = -------------------------- = --------------------

                 2                                   2                           2

This result is the same as the first answer choice:

fourth root of 200   over   2

Answer:

A!!!!!!!

Step-by-step explanation:

What’s 92508253 in words

Answers

92,508,253

Ninety-two million, five hundred eight thousand, two hundred fifty-three

Answer:

ninety-two million, five hundred eight thousand, two hundred fifty-three

Find the value of the expression.

Answers

Answer:

35 3/8        

Step-by-step explanation:

[tex]\text{Hey there!}[/tex]

[tex]\frac{5}{(-1.5+9.5)}+\frac{0.4(7+11)}{-0.2}\\\\ \text{- 1.5 + 9.5 = 8}[/tex]

[tex]\frac{5}{8}+\frac{0.4(7+11)}{-0.2}[/tex]

[tex]\text{7 + 11 = 18}[/tex]

[tex]\frac{5}{8}+\frac{0.4(18)}{-0.2}[/tex]

[tex]\text{0.4(18) = 7.2}[/tex]

[tex]\frac{5}{8}+\frac{7.2}{-0.2}[/tex]

[tex]\frac{7.2}{-0.2}=-36[/tex]

[tex]\frac{5}{8}+(-36)=-36.375[/tex]

[tex]\boxed{\boxed{\bf{Answer:decimal\ form\rightarrow-35.375\ Fraction\ form:35\frac{3}{8}}}}[/tex] [tex]\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:}[/tex]

Please Help ASAP WILL GIVE BRAINLIEST AND 10 POINTS! THANKS

Answers

Answer:

15 pounds

Step-by-step explanation:

answers to the multiplication column

1

6

5

3

the addition will give the total number of pounds ordered which is (1+6+5+3) = 15 pounds

find the geometric mean of 4 and 14​

Answers

Answer:9

Step-by-step explanation: find the average

1.
(07.04A)

Which of the sets of ordered pairs represents a function? (4 points)

A = {(1, −2), (3, −5), (5, 2), (7, 5)}

B = {(4, 2), (4, −2), (9, 3), (9, −3)}

Only A

Only B

Both A and B

Neither A nor B

Answers

Answer:

The answer is only A

happy to help

Final answer:

Set A represents a function because each element of its domain is paired with a unique element in the range. Set B does not represent a function because it has repeated first elements without unique corresponding second elements.

Explanation:

The question asks which set of ordered pairs represents a function. A function is a special type of relation where each element of the domain (the first element in each ordered pair) is paired with a unique element in the range (the second element in each ordered pair). Analyzing option A, we see that each first element in the set A = {(1, −2), (3, −5), (5, 2), (7, 5)} is unique, which means it represents a function. However, for option B, we have repeated first elements in the set B = {(4, 2), (4, −2), (9, 3), (9, −3)}, which means it does not meet the criteria for a function as the first element, which belongs to the domain, is not mapped to a unique value in the range.


Please Help! :C A bathroom is located at (-9, 0) on the map. How far would someone have to walk to get from the checkout desk to the bathroom. Explain or show how you got your answer.

Answers

Answer:

you would have to walk 9 to the left.

Step-by-step explanation:

I'm assuming that the checkout desk is at (0,0) You would have to walk 9 to the left because on a coordinate plane negative is either left or down. since the -9 is on the x axis it is 9 to the left. Can I get brainliest

Answer:

walk 9 to the left

Step-by-step explanation:

The area of the base of a rectangular prism is 18 cm2. The height of the prism is 9 1 2 cm. What is the volume of the prism? A) 27 1 2 cm3 B) 54 1 2 cm3 C) 84 3 4 cm3 D) 171 cm3 please answer quick

Answers

Multiply the area of the base by it's height.

18 x 9 1/2 = 171 cm^3

The answer is D.

Answer:

D) 171 cm3

Step-by-step explanation:

i need help please thank you

Answers

Answer:

2 < x < 7

Step-by-step explanation:

2 is less than x can be written as ...

2 < x

7 is greater than x can be written as ...

7 > x

It can also be written with the expressions and symbol reversed:

x < 7

Then the two inequalities can be combined into one compound inequality:

2 < x < 7

Answer:

2-x + 7 > x

Step-by-step explanation:

0.001y^12 as a monomial

Answers

Answer:

Step-by-step explanation:

0.001y^12 has only one term and is thus a monomial.  Are you sure you've shared the entire question?

Probably simple math. 20 points.

Answers

ok well first you would find what the square root would be then you just see where it falls on the number line

so the sqrt of 29 is 5.38516... so it falls between 5 and 6.

so the answer is 5 and 6

it is in between 5 and 6

PLEASE HELP ASAP !!!! Drag each interval to a box to show if the function is increasing,decreasing,or neither over that interval. -9<×<-6, -6<×<-4, -4<×<-1, -13<×<-12, -12<×<-9. Increasing, Decreasing, Neither Increasing or Decreasing ​

Answers

Answer:

[tex]-13 <x <-12[/tex]   Neither Increasing or Decreasing ​

[tex]-12 <x <-9[/tex]       Increasing

[tex]-9 <x <-6[/tex]     Decreasing

[tex]-6 <x <-4[/tex]        Increasing

[tex]-4 <x <-1[/tex]      Neither Increasing or Decreasing ​

Step-by-step explanation:

To know if the graph of a function is growing or decreasing you must use the graph to verify what happens when x increases.

If when x increases y decreases, then the function is decreasing.

If when x increases y increases, then the function is growing.

Let's look at the

First interval.

[tex]-13 <x <-12[/tex] Note that the value of y is always equal in this interval, therefore the function is not  increasing or decreasing.

Second interval

[tex]-12 <x <-9[/tex]

Note that when x increases from -12 to -10, the value of y increases from y = 1 to y = 3.

Then the function is  increasing in this interval

Third interval

[tex]-9 <x <-6[/tex]

Note that when x = -9 y= 8, but when x approaches -6 then y approaches 7.

Therefore in this interval the function is decreasing.

Fourth interval

[tex]-6 <x <-4[/tex]

When x = -6 y = 7 and at the end of the interval when x = -4 then y = 11

The function is increasing.

Fifth interval

[tex]-4 <x <-1[/tex]

The value of y remains constant throughout the interval. So the function is not  increasing and it is not decreasing

there is a picture of Cube with the #6

Match each prism with its volume

here are the choices

36
45
60
216
250
546

Answers

Answer:

going down the picture

45

36

250

546

216

60

Step-by-step explanation:

What she said....... is what i was going to say but yes that person is correct

Brainliest + Points! I need help please explain

Answers

Answer:

D

Step-by-step explanation:

AB is in the first quadrant

Coordinate points in the first quadrant are (x, y)

Under a reflection in the x- axis

a point (x, y ) → (x, - y) ← a point in quadrant 4 → D

The table shows the weights, in kilograms, of 8 polar bears.
453
553
471
358
467
262
352
364
What is the mean weight of the polar bears?

Answers

Answer:

410 kilograms

Step-by-step explanation:

The mean is another way to say average.

Add the weights of all the polar bears together

3,280 kilograms total.

Then divide by the total number of bears

3,280 / 8 = 410

Answer:

Mean=410

Step-by-step explanation:

Given that the table shows the weights, in kilograms, of 8 polar bears.

Now we need to find about what is the mean weight of the polar bears.

So we just need to add all the weights then divide the sum by 8 to get the mean weight.

[tex]Mean=\frac{453+553+471+358+467+262+352+364}{8}[/tex]

[tex]Mean=\frac{3280}{8}[/tex]

[tex]Mean=410[/tex]

Hence final answer is Mean=410.

Niko rides his bike 5,300 yards to his friends house. About how many miles does Niko ride?

Answers

Answer:

3.011364 miles

Step-by-step explanation:

length value divided by 1760

Answer:

3.011 miles

Step-by-step explanation:

5300 yds      3 ft           1 mi

--------------- * ----------- * ------------ = 3.011 miles

        1             1 yd        5280 ft

If y is 4.5 when x is 3, and y varies directly with x, find y when x is 9. 1.5 7.5 10.5 13.5

Answers

ANSWER

13.5

EXPLANATION

It was given that, y varies directly as x.

Therefore, the variation equation is of the form:

[tex]y = kx[/tex]

If y is 4.5 when x is 3, then we can substitute to find the constant of variation.

[tex]4.5 = 3k[/tex]

Divide both sides by 3;

[tex]k = \frac{4.5}{3} [/tex]

[tex]k = \frac{3}{2} [/tex]

Hence the equation becomes:

[tex]y = \frac{3}{2} x[/tex]

When x=9,

[tex]y = \frac{3}{2} \times 9 = 13.5[/tex]

Rotate 90° clockwise about (0, 0) and translate 3 units right. Determine which rectangle was transformed to result in rectangle E.
A) rectangle A
B) rectangle B
C) rectangle C
D) rectangle D

Answers

So OK the answer is D rectangular

D rectangular hope this helps :)

The polygon angle sum theorem states that the sum of the measures of the interior angles of an n-gon is

n-2/180

(n-1) 180

180/n-1

(n-2) 180

Answers

Answer:

D.

Step-by-step explanation:

The formula is Sum(n) = (n -2) 180.

The polygon angle sum theorem states that the sum of the measures of the interior angles of an n-gon is (n-2) 180

What is a polygon or an n-gon?

A polygon is a geometric figure with a finite number of sides in 2D. A polygon's sides are made up of straight-line segments. They are called as sides. The intersection of two line segments is known as the vertex and an angle is generated as result.

The term n-gon refers to polygon with n sides.

What are the interior angles of a Polygon or an n-gon?

A polygon's interior angle is the angle formed between two adjacent sides of the polygon.

How to find the sum of the measures of the interior angles of an n-gon?

We will take a pentagon(5 sides) and then we will try to generalize it to an n-gon(n sides) with the following steps:

In the figure let's take the vertex B and connect all the other vertices to it.Now, look there are a total of 3 triangles formed inside the pentagon.So, now we can say if we add connect all the vertices of an n-gon from a random vertex it will produce a total of (n-2) triangles in it.
What is the sum of the interior angles of a triangle?

The sum of the interior angles of a triangle is 180°

Now, each triangle has the sum of interior angles of 180°,

so (n-2) triangles will have the sum of interior angles of (n-2)×180°.

Therefore, the sum of the measures of the interior angles of an n-gon is (n-2)×180.

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