Given that f(x) = x2 + 1 and g(x) = -3, multiply the functions (gºf)(x).
A) (gºf)(x) = -3x2 - 3
B)(gºf)(x) = -3x2 + 3
C)(gºf)(x) = 3x2 + 3
D)(g. f)(x) = 3x2 - 3

Answers

Answer 1

Answer:

[tex](g\cdot f) = -3x^2-3[/tex]

Step-by-step explanation:

[tex]f(x) = x^2 + 1[/tex]

[tex]g(x) = -3[/tex]

The problem state to multiply the function [tex]f[/tex] and [tex]g[/tex] so the symbol seems to be incorrect.

We actually want to calculate

[tex]g(x) f(x) =gf(x) = (-3) \cdot (x^2+1)= -3x^2-3[/tex]

Note

[tex]g\circ f(x)=g(f(x))=g(x^2+1)=-3[/tex]


Related Questions

Which of the lists of letters all have rotational symmetry?
C,H, N, X
N.O.S. Z
H.J.N.S
F.H. X. Z

Answers

Answer:

N, O, S, Z, which will be B

Step-by-step explanation:

1) The diameter of a circle is 7.5. Find the circumference to the nearest
tenth. Show all work *
Your answer

Answers

Answer:

Step-by-step explanation:circumference = pi x diameter.

Using 3.14 for pi

Circumference = 3.14 x 7.5 = 23.55

Rounded to the nearest tenth = 23.6

The circumference of the circle with a diameter of 7.5 is, C = 23.6

Used the concept of the circumference of the circle that states,

The circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. The formula used to calculate the circumference of the circle with radius 'r' is,

C = 2πr

Given that,

The diameter of a circle is 7.5.

Hence, The radius of a circle is,

7.5/2 = 3.75

So, The circumference of the circle with a radius of 3.75 is,

C = 2 × 3.14 × 3.75

C = 23.55

Rounded to the nearest tenth,

C = 23.6

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HELP PLEASE PLEASE PLEASE

Answers

well im guessing your gonna get the answer so good luck!!!
the missing number is 19

Jim finished baking cookies at 9:31 AM.
He started at 5:19 AM.
How long was he baking cookies?
[hour(s) and minute(s)
S

Answers

Answer:

Jim was baking for 4 hrs, 16 mins

Step-by-step explanation:

9:31

-

5:19

=

4:16

Create a model to show that 2(2x + 3y) = 4x + 6y

Pls

Answers

I’m not sure if u mean it that way but the answer is correct

Answer:

0=0

Step-by-step explanation:

2(2x + 3y)=4x+6y

4x+6y=4x+6y

4x+6y-6y=4x+6y-6y

4x=4x

4x-4x=4x-4x

0=0

True for all

Greg spent $47.45 on five books. If each book cost the same amount, how much does one book cost?

Answers

Answer:

Greg spent 9.49 cents on the book

The cost of one book is A = $ 9.49

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the cost of 5 books be = $ 47.45

Now , the cost of one book is A

where A = 47.45 / 5

On simplifying the equation , we get

A = $ 9.49

Hence , the cost is A = $ 9.49

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Simplify -3x + 2y + x - y

Answers

Answer:

-2x+y

Step-by-step explanation:

-2x+y I could do a whole explanation but I would prob want the answer

please please help me figure this out!!

Answers

Answer:

154

Step-by-step explanation:

180-26= 154

Supplementary angles equal 180

x2-12x-3=10 please help

Answers

Answer:

x= 13, -1

Step-by-step explanation:

4x + y=7
2x - 7y=1
If (x,y) is the solution to the given system of equations, what is the Value of X?

Answers

Answer:

[tex]x = \frac{5}{3} [/tex]

Greg feeds his dog 2/3 pounds of dog food for each meal. Greg has just bought 18 pounds of dog food. For how many meals will the food last? Write your answer in simplest form

Answers

We can divide 18 pounds by 2/3 pounds to find how many servings of meals the dogs will have.
We will use the keep change flip rule to solve this.
18 / 2/3 is then the same as 18 x 3/2
We then multiply across to get
54/2
This would be 27 meals that the food will last

the sum of the three sisters' ages is 51. If ava is 6 years older than
Camila, and Camila is twice as old as Luna, what are the ages of the
three sisters?

Create an equation with only one variable.

Answers

9514 1404 393

Answer:

Luna is 9Camila is 18Ava is 24

Step-by-step explanation:

We can express all of the ages in terms of Luna's age. Letting L represent Luna's age, we have ...

Luna's age: LCamila's age: 2LAva's age: 2L +6

The total of their ages is then ...

  L +2L +(2L+6) = 51 . . . . an equation with one variable

  5L = 45

  L = 9

Luna is 9, Camila is 18, and Ava is 24.

Jessie started a record collection with 8 records. Each week he added 3 records to his collection. Riley started her record collection with 23 records. Each week she gave away 2 records.

a) Write an equation to represent the number of records in Jessie's collection based on the number of weeks he has been collecting records.

Answers

3 per week + blank=8              Step-by-step explanation: brainly plz

Number 3 answered please

Answers

Answer:

Step-by-step explanation:

n=3p, d=p-2

10d+5n+p=110 using n and d from above makes this become

10(p-2)+5(3p)+p=110

10p-20+15p+p=110

26p-20=110

26p=130

p=5

n=3p=3(5)=15

d=p-2=5-2=3

So she has 3 dimes, 15 nickels, and 5 pennies.

what is the H.C.F of 2³×3²​

Answers

The correct answer is 28

Consider the inequality x > −1.5.
Determine a value of x makes this inequality true.

Answers

Step-by-step explanation:

all intiger which is greater than-1.5

Paula made this model to show the sum of two mixed numbers. Write the addition equation shown by the model and solve it.


You can write out the fraction names or use the forward slash (/) on your keyboard to represent the fraction bars.


A number line from zero to one partitioned into thirds. There is a gray rectangle above the number line stretching from zero to three and two thirds. To the right is a darker gray rectangle above the number line stretching from three and two thirds to six and one third.


Your answer:

Answers

Answer:

[tex]3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}[/tex]

Step-by-step explanation:

Given

See attachment for number line

Required

Determine the model

From the attachment, we can see that each partition is 1/3

The gray rectangle covers 11 partitions.

So:

[tex]Gray = 11 * \frac{1}{3}[/tex]

[tex]Gray = \frac{11}{3}[/tex]

Express as a mixed number

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

The black rectangle covers 8 partitions

So:

[tex]Black= 8 * \frac{1}{3}[/tex]

[tex]Black= \frac{8}{3}[/tex]

Express as a mixed number

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

So, the model is:

[tex]Gray + Black = Total[/tex]

Where Total is the point where the black rectangle stops

[tex]3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}[/tex]

please show all work i’ll mark brainliest

Answers

Answer:

Step-by-step explanation:

Draw a picture to see that the radius must be 7.

(2x -3) + (4c + 20) i need help

Answers

Answer:

=2x+4c+17

Step-by-step explanation:

(2x-3)+(4c+20)

=2x-3+4c+20

=2x+4c-3+20

=2x+4c+17

Find the slope of the line 8x-2y=11

Answers

The slope equals to 4

By rearranging the equation to be this : y=4x-5.5

What is the length of side a?

Answers

Answer:

do provide the figure dude.

Lesson 1 Homework Practice Solving Equations with Rational Coefficients answers

Answers

Wait where’s the equation I can’t seem to find it

The human resources department of an engineering company gives IQ tests to a randomly selected group of new hires every year. They claimed that the mean IQ score of new hires, , from this year is greater than or equal to the mean IQ score of new hires, , from last year. This year, 95 new hires took the test and scored an average of 112.2 points with a standard deviation of 14.0 . Last year, 70 new hires took the IQ test and they scored an average of 117.8 points with a standard deviation of 14.5 . Assume that the population standard deviation of the IQ scores from the current year and the last year can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. Is there enough evidence to reject the claim of the human resources department, at the 0.01 level of significance

Answers

Answer:

Step-by-step explanation:

Null hypothesis: [tex]\mathbf{H_o: \mu_1 \ge \mu_2}[/tex]

Alternative hypothesis: [tex]\mathbf{H_o: \mu_1< \mu_2}[/tex]

This type of test statistic is a z test statistics

                                                                             1st             2nd

Sample mean x =                                                112.2          117,8

Standard deviation σ =                                       14.0            14.5

Sample size n =                                                    95              70

Point estimate [tex]\bar x_1 - \bar x_2[/tex] =                                                      -5.60

Standard error [tex]\sigma_{x_1-x_2}= \sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2} }[/tex]

                                      [tex]= \sqrt{\dfrac{14.0^2}{95} +\dfrac{14.5^2}{70} }[/tex]                      = 2.2509

Test statistics      [tex]z=\dfrac{x_1 - x_2}{\sigma_{x_1-x_2}}[/tex]    [tex]=\dfrac{112.2- 117.8}{2.2509}[/tex]              = - 2.4878

                                       

P-value = 0.012

No, there is no enough evidence Since p-value is greater than 0.01.

what is 6 10th in simplest form

Answers

Answer:

3/5ths

Yw :)

Answer:

3 / 5 (three - fifths)

Step-by-step explanation:

6 / 10 =

Divide both the top and bottom by 2.

3 / 5

Because 3 and 5 are prime numbers (5 can only be divided by 1 and 5, and 3 can only be divided by 1 and 3), this is the most simplified form.

Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an impact on the rates of death and injury. 25% of accidents in foggy conditions result in death, 12.5% of accidents in rainy conditions result in death, and 5% of accidents in sunny conditions result in death. Sunny conditions occur 60% of the time, while rainy and foggy conditions each occur 20% of the time. What is the probability that and accident results in a death?

Answers

Answer:

0.105 = 10.5% probability that an accident results in a death.

Step-by-step explanation:

What is the probability that an accident results in a death?

5% of 60%(sunny)

25% of 20%(foggy)

12.5% of 20%(rainy)

So

[tex]p = 0.05*0.6 + 0.25*0.2 + 0.125*0.2 = 0.105[/tex]

0.105 = 10.5% probability that an accident results in a death.

The probability that an accident results in a death is 0.105 = 10.5%

Given :

25% of accidents in foggy conditions result in death.

12.5% of accidents in rainy conditions result in death

5% of accidents in sunny conditions result in death

"Probability"

The probability that an accident results in a death

5% of 60%(sunny)25% of 20%(foggy)12.5% of 20%(rainy)

Probability =0.05*0.6+0.25*0.2+0.125*0.2

Probability =0.105

Probability =10.5%

The probability that an accident results in a death is 10.5%.

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Fran’s snowmobile weighs 0.8 ton. The weight of the snowmobile is
pounds

Answers

Answer: 0.8 ------    1,600

Step-by-step explanation:

Stefan sells Jin a bicycle for 135 and a helmet and a helmet for 19 the total cost for Jin is 140% of Stefan spent originally to buy the bike and helmet how much did Stefan spend originally how much money did he make by selling the bicycle and helmet to Jin

Answers

Answer:

Originally Stefan spent $ 110, and made $ 30 selling the bike and helmet to Jin.

Step-by-step explanation:

Given that Stefan sells Jin a bicycle for $ 135 and a helmet for $ 19, and the total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet, to determine how much did Stefan spend originally and how much money did he make by selling the bicycle and helmet to Jin, the following calculation must be performed:

100 + 140 = 240

140 = 135 + 19

100 = X

(100 x (135 + 19)) / 140 = X

100 x 154/140 = X

15,400 / 140 = X

110 = X

So originally Stefan spent $ 110, and made $ 30 selling the bike and helmet to Jin.

Which function is shown in the graph below?
10
8
.
.4
0.5, 0.4(1.0)
ᎨᎲᎢ
4
0
8
-2
1-4
1-3
-10

Answers

Answer:

square root function is the correct answer

The solution is,  y = 2 ^ (x + 2) +3, is the function is shown in the graph below.

What is graph?

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

For this case we observe the cut point with the y axis in:

(0, 7)

The function that complies with this is:

y = 2 ^ (x + 2) +3

We have then:

y = 2 ^ (0 + 2) +3

y = 2 ^ (2) +3

y = 4 + 3

y = 7

Answer:

The answer for this case is given by:

y = 2 ^ (x + 2) +3

option 2

Hence, The solution is,  y = 2 ^ (x + 2) +3, is the function is shown in the graph below.

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assistance with trying to figure out how to solve this question.

Answers

Answer:

137.24 mm²

Step-by-step explanation:

Big square = 9x9=81

Small rectangle at bottom = 2x3=6

Quarter Circle = 1/4(3.14)(8)(8)=50.24

81+6+50.24=137.24

If m= 3 in the equation 2m=4-n, find the value of n.​

Answers

Answer:

-2

Step-by-step explanation:

n=-2
explanation: since m=3 replace m with 3 to multiply it with 2. 2(3)=6 so the equation now is 6=4-n. Subtract 4 on both sides and get 2=-n which would be n=-2.
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