given f(x)=x+2 and h(x)=1/x-1 evaluate the following function at x=2​

[h(x)]^2/f(x)

Answers

Answer 1

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Substitute x = 2 into both h(x) and f(x)

h(2) = [tex]\frac{1}{2-1}[/tex] = 1 ⇒ (h(2))² = 1

f(2) = 2 + 2 = 4

Hence

[tex]\frac{h(x)^2}{f(x)}[/tex] when x = 2

= [tex]\frac{1}{4}[/tex]

Answer 2

1/4 is the following function at x=2​

What are functions?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and co domain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Given

Substituting x = 2 into both h(x) and f(x)

h(2) = 1(2-1) = 1 ⇒ (h(2))² = 1

f(2) = 2 + 2 = 4

Hence

h(x)²/f(x)  when x = 2

=1/4

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Related Questions

Suppose that we wish to assess whether more than 60 percent of all U.S. households in a particular income class bought life insurance last year. That is, we wish to assess whether p, the proportion of all U.S. households in the income class that bought life insurance last year, exceeds .60. Assume that an insurance survey is based on 1,000 randomly selected U.S. households in the income class and that 640 of these households bought life insurance last year

Answers

Answer:

dont know

Step-by-step explanation:

Answer:

Step-by-step explanation:

Set up hypotheses as:

[tex]H-0: p=0.60\\H_a: p >0.60[/tex]

(Right tailed test)

Sample proportion p = favourable/total = [tex]\frac{640}{1000} =0.64[/tex]

p difference [tex]=0.64-0.60 =0.04[/tex]

Sample std error = [tex]\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.64(0.36)}{1000} } \\=0.0152[/tex]

Critical value for95% = 1.96

Margin of error = [tex]1.96(0.0152)\\= 0.0298[/tex]

Confidence interval for proportions

=[tex](0.64-0.0298, 0.64+0.0298)\\=(0.6102,0.6698)[/tex]

Since confidence interval does not contain 0.60 we reject null hypothesis.

At 5% significance level we can accept thta proportion >0.60

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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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:

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%

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

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

Answers

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.

whats 4 ways to make 23 cents using dimes,nickels, and pennies

Answers

23 pennies

4 nickels, 3 pennies

2 dimes, 3 pennies

1 dime, 2 nickles, 3 pennies

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

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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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

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:


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.

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

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:

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.

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

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

Reynaldo is a landlord who owns several rental homes one all wood home in the suburbs is worth 95,000 because the renters insure their own belongings what is the premium Reynaldo pays for property insurance per year?

Answers

Answer:B

95,000÷100 then multiply by $0.83 since it's a wood home in the suburbs.

Step-by-step explanation:

Answer:

788.5

Step-by-step explanation:

Mr. Jones is getting a 6% raise. If he made $720 a week, how much more will he make with the raise?

Answers

$720 * .06 = 43.2

He will make $43.20 more each week.

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.

what is the area of the triangle shown below?​

Answers

Answer: 18

Step-by-step explanation:

Per a.p.e.x

Final answer:

The area of a triangle can be found using the formula: Area = (base × height) / 2.

Explanation:

The area of a triangle can be found using the formula: Area = (base × height) / 2. To find the area of the triangle shown below, you need to know the length of the base and the height. Once you have those values, you can plug them into the formula to calculate the area.

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]

find the geometric mean of 4 and 14​

Answers

Answer:9

Step-by-step explanation: find the average

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]

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.


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

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]

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

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?

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