for values of x f(x) = 2x-3 and g(x)= x^2+1 find gf(x)

Answers

Answer 1

Answer:

g(f(x)) = 4x² - 12x + 10

Step-by-step explanation:

to find g(f(x)) substitute x = f(x) ino g(x)

g(f(x))

= g(2x - 3)

= (2x - 3)² + 1 ← expand parenthesis using FOIL

= 4x² - 6x - 6x + 9 + 1

= 4x² - 12x + 10


Related Questions

Evaluate the following expression when c = -3 and d= 2: 6/d -10c - c to the fourth  power

Answers

The value of the fourth power of the expression is 1679616.

What is an expression?

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, an expression: 6/d -10c - c, where c = -3 and d= 2

Solving the expression, we get,

6/2-10(-3)-(-3)

= 3+30+3

= 36

We are asked to find the fourth value of 36,

(36)⁴ = 36 × 36 × 36 × 36 = 1679616

Hence, the value of the expression is 1679616.

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Use the drawing tools to form the correct answer on the graph.
Plot function g on the graph.

Answers

On solving the provided question, we cans ay that - in given inequality equation to -7 < x < -2; -2 < x < 3

What is inequality?

A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.

-7 < x < -2

-2 < x < 3

and 3 > x > 8

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there are no good answers on brainly can someone pls answer this

Answers

Answer:

D

Step-by-step explanation:

explanation on the other response on ur other question

how to work out the area of a parallelogram

Answers

the base timed by the height

You are a researcher studying the health habits of people living in a large rural area. In particular, you are interested in the amount of weight gained early in life.
You want to estimate the population mean of all weight gains for the area's baby girls in their first year. To estimate the population mean of all such weight
gains, you select a random sample of 15 baby girls from this area and you record the weight (in kg) each gained in their first year. Assume the population is
approximately normally distributed.
Based on your sample, follow the steps below to construct a 90% confidence interval of the weight gains in the first year for all the area's baby girls. (If
necessary, consult a list of formulas.)
(a) Click on "Take Sample" to see the results for your random sample.
Take Sample
Sample size:
0
Point estimate:
0
Number of baby girls
4
Sample standard deviation:
0
15
Sample mean
Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 90%
confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".
Standard error:
5.538
Margin of error:
Sample standard
deviation
1.921
X
Confidence
level
S
Critical value

Answers

Therefore , the solution of the given problem of median comes out to be

confidence interval = [ 51.708 , 64.558 ].

Define median.

When a dataset is ordered, the median value is the one that appears exactly in the middle of the dataset. The difference between the lowest and highest 50% of data is a measure of central tendency or average. Depending on whether you have an odd or even number of data points, the procedures for determining the median , mode change.

Here,

(48, 51, 65, 71, 61, 45, 48, 72, 74, 66, 43, 47, 70, 66, 45) sample data; sample mean, x = 58.133; sample size, n = 15; standard deviation, s = 11.6;

Standard deviation equals sd/√(n)

where, n = sample size and sd = standard deviation

Margin of error is equal to t alpha/2 and the standard error is (11.6/√( (15)) = 2.995. (standard error)

where ta/2 is the t-table level of significance, alpha is 0.05 from the standard normal table, the two-tailed value of |t alpha/2| with n-1 = 14 d.f is 2.145, and the margin of error is 2.145 * 2.995, which equals 6.425. The confidence interval for this margin of error is [58.133 6.425] = [51.708, 64.558].

being that,

sample data: (48 , 51 , 65 , 71 , 61 , 45 , 48 , 72 , 74 , 66 , 43 , 47 , 70 , 66 , 45 )

sample mean, x =58.133

standard deviation, s =11.6

sample size, n =15

level of significance, alpha = 0.05

from standard normal table, two tailed  value of |t alpha/2| with n-1 = 14 d.f is 2.145

we use CI = x ± t a/2 * (sd/ √((n))

where,

x    = mean

sd   = standard deviation

a    = 1 - (confidence level/100)

ta/2 = t-table value

CI   = confidence interval

confidence interval = [ 58.133 ± t a/2 ( 11.6/ sqrt ( 15) ]

= [ 58.133-(2.145 * 2.995) , 58.133+(2.145 * 2.995) ]

=  [ 51.708 , 64.558 ]

Therefore , the solution of the given problem of median comes out to be

confidence interval = [ 51.708 , 64.558 ].

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What are the exact values of a and b?

CORRECT ANSWER

WITH EXPLANATION

Answers

Step-by-step explanation:

TRY WITH SOME Trigonometric FUNCTION.

IF SOMETHING IS Wrong . I AM STILL A STUDENT

PLEASE HELP I WILL GIVE BRIANLI EST​

Answers

The number of students at the open house is B. 468.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

We know if a and b are two quantities in a total quantity (ax + bx) the amount of a single quantity can be obtained by [a/(a+b)]× (ax + bx).

Given, The ratio of students to adults at the open house is 9 : 7 and the total number of students and adults at that place is 832.

Therefore,

The number of students is,

= (9/9+7)×832.

= (9/16)×832.

= 9×52.

= 468.

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Solve Using substitution 3x+5y=-28 Y=x+4

Answers

Answer:

(-6, -2) x=-6, y=-2

Step-by-step explanation:

3x + 5(x+4) = -28

3x + 5x+20=-28

8x+20=-28

8x=-48

x=-6

Y=-6+4

y=-2

Round 0.21545977 to the nearest hundredth

Answers

Answer:

0.22

Step-by-step explanation:

Since 5 rounds up, it would be 0.22

Answer:

0.22 Is the answer.

I wish you luck on your assignments.

i really need help with this, i dont get how to identify outliners and gaps stuff, please help?​

Answers

On solving the provided question, we can say that - the plotting data will be done by 3 to 24 ; 6 to 61 ; 5 to 56; 1 to 15

what is plotting data?

A graph that demonstrates the relationship between two or more variables is the most common way to depict a data set using a chart. Both hand-drawn and computer-drawn diagrams are acceptable. Start at the origin and move 2 units to the right before moving 3 units up to draw the coordinates for the point 2,3 on the coordinate plane. Make your points clear. As a result, the pink dot with the letter P on it denotes 2.3. A number line containing each value in your data collection should be first created before making a line chart. Then, on the number line, put an X (or dot) over each value of the data. Put an X over the number for each time a value appears in a record where it does.

so we have to plot data from the given data, we can do by

3 to 24 ; 6 to 61 ; 5 to 56; 1 to 15

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shia has 6 new boxes of crayons . each box has 8 crayons he also has 7 crayons from an old box how many crayons does he have

Answers

55 crayonsssssssssssssssss

The answer is: 55 crayons.

Explanation: He has 6 boxes with 8 crayons in each. 6 times 8 = 48. Plus the seven left from the other box = 48+7= 55 crayons.!!

-5 + -3 + 9= please help i'm stuck

Answers

Answer:

1

Step-by-step explanation:

Answer:

I believe it is 1

Step-by-step explanation:

Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3

Answers

Answer: To solve the quadratic equation 8x^2 + 16x + 3 = 0, Patel could use the following steps:

Divide both sides of the equation by 8 to obtain x^2 + 2x + 3/8 = 0.

Rewrite the equation in the form (x + a)^2 = b by completing the square: x^2 + 2x + (1/2)^2 = (1/2)^2 - (3/8).

Rewrite the equation as (x + a)^2 - b = 0. In this case, a = 1/2 and b = -3/8.

Use the quadratic formula to solve for x:

x = (-1/2) +/- sqrt((1/2)^2 - (-3/8))

= (-1/2) +/- sqrt(5/8)

= (-1/2) +/- sqrt(40/64)

= (-1/2) +/- sqrt(10/16)

= (-1/2) +/- (5/8)

= -1 +/- 5/8

= -1 + 5/8 or -1 - 5/8

= -7/8 or 1/8

Therefore, the solutions to the quadratic equation are x = -7/8 or x = 1/8.

Step-by-step explanation:

The value of z varies inversely with the value of w. The constant of variation is 2. Which are possible values for z
3
and w? Check all that apply.
Oz=.
z = 1+₁ w = 2/1/201
O z = 2, w = 3
O z=
z = -1/₁w=2
O z
4,
= 1/5, w = 2/1/201
z = 1/2/3₁, w = 2/1/201




Answer:A,C,D

Answers

As a result of the inverse relationship between z and w, their product is constant.

What does "inverse connection" actually mean?

There is an inverse relationship between two parameters when they are connected, where the value of one parameter tends to decrease as the value of the other parameter increases. It's often described as a "bad friendship" in conversation.

According to the information:

z * W is equal to 1.

The statement indicates that the constant's value is 2/3, so:

z * w = 2/3

The result of solving for any of the variables is:

either w = (2/3) / z or z = (2/3) / w

The following values fit that relation:

z w = (2/3) / z

-8/9 (2/3) / (-8/9)

= - (2/3) * (9/8) = -3/4

- 4/9 (2/3) / (-4/9)

= - (2/3) * (9/4) = - 3/2

- 2/9 (2/3) / (-2/9)

= - (2/3) * (9/2) = - 3

2/9 (2/3) / ( 2/9)

= (2/3) * (9/2) = 3

4/9 (2/3) / (4/9)

= (2/3) * (9/4) = 3/2

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In a village, the cases of a particular infectious
disease have been exponentially decreasing at
a rate of 95% per year since the people started
receiving the vaccine. If there were 200 cases
in the village to start with, predict the number
of cases after 2 years.
First, complete the equation:
Remaining Amount = 200(1-0.95)²

Answers

The number remaining in the village is 30.

How many people remain?

We have to note that the case in which the population of the community is being reduced because of the fact that the community is being ravaged by disease is a case of a decrease in the population and is a problem of exponential decrease.

Then we would have that;

N =Noe^-rt

N = Number at time t

No = Initial number

r = spread rate

t = time taken

Then;

N = 200e^-0.95 * 2

N = 30

Thus, they would have only 30 people left.

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YZ ≅ VW, WX ≅ UV, and XY ≅ UZ. Complete the proof that △UVZ ≅ △XWY.

Answers

Statement:

8.) △UVZ ≅ △XWY

Reason: Side-Side-Side postulate


help yall please!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Well it would be funchen because as you see it just makes sence

Answer:

not a function

Step-by-step explanation:

In a function, an input gives only one output. As you can see from the graph, the input which is 4 produces 3 different outputs which are 2, 3 and 4, thus it cannot be a function.

A cylindrical tank has a diameter of 30m and height 20m.
a) Find its volume in m³, correct to two decimal places.
b) What is the capacity of the tank in litres?​

Answers

Step-by-step explanation:

d = 30m, so r = 15m

h = 20m

We know,

V = πr^2h

= (22×15×15×20)/7 [Taking π = 22/7]

= 14142.86m^3

= 14142875.14 litres

Question 5 of 10
Mackenzie took out a payday loan for $1100 that charged a $95 fee. If the
loan matures in 2 weeks, what is the approximate effective interest rate of the
loan?
OA. 862%
OB. 86%
OC. 76%
OD. 762%

Answers

The answer would be OD. 762%

What constant term should be used to complete the square?
x2.5x+_ _ _ =7
4/25
49/25
-49/25
25/4

Answers

The constant term that should be used to complete the square? x2 - 5x + _____ = 7 is 25/4

What is quadratic equation ?

A quadratic equation in the variable x is of the form. ax2 + bx + c = 0, where a, b, c are real numbers and a ≠ 0. • Roots of a quadratic equation : A real number α is said to be a root of the. quadratic equation ax2 + bx + c = 0, if aα2 + bα + c = 0.

Given:

x^2-5x+c=7, the constant term c will be obtained using the formula:

c=(-b/2a)²

The quadratic equation in its generic form is:

ax^2 + bx + c

To complete squares we must add the following term:

(b / 2) ^ 2

The equation is:

ax^ 2 - 5x + k = 7

By completing squares we have:

x ^ 2 - 5x + (-5/2) ^ 2 = 7 + (-5/2) ^ 2

Rewriting:

x ^ 2 - 5x + 6.25 = 7 + 6.25

Hence, A constant term should be used to complete the square is 25/4 or 6.25.

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Round 0.09305085 to the nearest hundredth

Answers

0.09, I believe that’s the answer

What is the value of l-14l

Answers

Answer:

Step-by-step explanation:

-140

The answer to |-14| is 14

Which equation is part of the same fact family as 5 x 4 =20?

Answers

4x5=20 Hope this helps have a good rest of your day

A square pryamid have a total surface area of 1,477,500ft² and need to find the slant length. The length is 750ft. Find the slant length.

A.) 610in
B.) 610ft
C.) 3,050ft
D.) 3,050in

Answers

To find the slant length of the pyramid, you can use the formula for the surface area of a square pyramid:

Surface area = base area + 4 * (base side length * slant height)

In this case, the surface area of the pyramid is 1,477,500ft², the base area is 750ft * 750ft = 562,500ft², and the base side length is 750ft. Substituting these values into the formula gives:

1,477,500ft² = 562,500ft² + 4 * (750ft * slant height)

Solving for slant height gives:

slant height = (1,477,500ft² - 562,500ft²) / (4 * 750ft)
= 915,000ft² / 3,000ft
= 305ft

So, the slant length is 305ft. The correct answer is therefore C) 3,050ft.
Easy

When fitting a pipe into an existing fitting it allows a diameter variance of 0.001". If the interior diameter of the pipe is 0.49" and the pipe thickness is 0.005" what's the maximum allowable pipe diameter? a. 0.496, b. 0.501, c. 0.499, d. 0.541

Answers

Considering that the diameter variance of 0.001". If the interior diameter of the pipe is 0.49" and the pipe thickness is 0.005". the maximum allowable pipe diameter is 0.501''

How to find the maximum allowable pipe thickness

The maximum allowable pipe diameter is calculated by

finding the total thickness of pipe

= interior diameter + 2 * pipe thickness

= 0.49 + 2 * 0.005

= 0.49 + 0.01

= 0.50

The diameter variance gives the range of the allowable diameter to ± 0.001 for maximum allowable pipe diameter we use + 0.001

hence

= 0.50 + 0.001

= 0.501

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What is a quadratic function (f) whose zeros are -2 and -11

Answers

Hence the required quadratic equation is +13x+22.we can find by multiplying of given factor.

What are quadratic equations explain?

Quadratics equation is a polynomial equation of a second degree which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is: ax² + bx + c = 0. where x is an unknown variable and a, b, c are numerical coefficients.

What are the ways to solve a quadratic equation?

The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula. Quadratic equations have many applications in everyday life. Quadratic equations must be used directly or indirectly in every field that involves calculating speed.

Now we have [tex]x1[/tex]=2    [tex]x2[/tex]=-11

then quadratic function will be

(x+2) (x+11)

[tex]x^2+2x+11x+22[/tex]

[tex]x^2+13x +22[/tex]

this is our required quadratic equation.

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Complete question is: Write a quadratic function f whose zeros are 2 and -13.

Hence the required quadratic equation is +13x+22.we can find by multiplying of given factor.

What are quadratic equations explain?

Quadratics equation is a polynomial equation of a second degree which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is: ax² + bx + c = 0. where x is an unknown variable and a, b, c are numerical coefficients.

What are the ways to solve a quadratic equation?

The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula. Quadratic equations have many applications in everyday life. Quadratic equations must be used directly or indirectly in every field that involves calculating speed.

Now we have x¹ = 2    x² = -11

then quadratic function will be

(x+2) (x+11)

x² + 2x + 11x + 22

x² + 13x + 22

This is our required quadratic equation.

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The complete question is-

Write a quadratic function f whose zeros are 2 and -13.

5x35 65x76 what the the total

Answers

The solution to the above math arithmetic is 5115.

Addition and subtraction are what?

Finding the sum and difference of two integers are the two main addition and subtraction arithmetic procedures. They are both the other's polar opposite. An ordered group of integers with a shared difference between each word is known as an arithmetic sequence. The common difference, for instance, between the mathematical series 3, 9, 15, 21, and 27 is 6.

What exactly is an algebraic question?

This grouping contains percent difficulties, decimal recognition, addition, subtraction, multiplication, and division as well as fraction and percent equivalences and estimate issues.

For instance, 5 + 6 = 11 and 11 - 6 = 5.

5x35 + 65x76=5115

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What is the slope of the line that passes through the points (-4, -6) and (1, -6)? Write your answer in simplest form

Answers

The slope of the line that passes through the points (-4, -6) and (1, -6) is zero and hence the line is parallel to the x-axis.

What is slope?

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is its graph or rate of change is large.

We know slope(m) = (y₂ - y₁)/(x₂ - x₁).

Therefore, The slope of the line that passes through the points (-4, -6) and (1, -6) is,

m = (- 6 + 6)/(- 4 - 1).

m = - 0/5.

m = 0.

As the slope is equal to zero the line is parallel to the x-axis.

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Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52

Answers

it's none of the above its 27.5

multiply the sum by the difference of 19 and 57​

Answers

Answer:2009#73

Step-by-step explanation:

3939+373

Ie,ek

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HELPPPPPP PLSWrite a newspaper article looking back 100 years after the end of the Klondike Gold Rush. Use the article to describe and analyze the short- and long-term effects of the Klondike Gold Rush upon the economy, society, geography, and human settlement patterns of the Pacific Northwest and the city of Seattle. Why is Sonnet 18 so famous? What ordered pair is a solution to the system of linear equations? What is synergistic interaction? A. when two medicines work together in a positive way without causing any harm B. when the effect of one medicine is reduced or cancelled by another one C. when one medicine boosts the effect of the other one differentiate between primary pulmonary cancers and secondary lung cancers? The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of each side is 8.7 inches and the length of each side is 10 inches.A hexagon labeled ABCDEF is shown will all 6 sides equal in length. ED is labeled as 10 inches. A perpendicular is drawn from the center of the hexagon to the side ED. This perpendicular is labeled as 8.7 inches.Part A: Describe how you can decompose this shape into triangles. (2 points)Part B: What would be the area of each triangle? Show every step of your work. (5 points)Part C: Using your answers above, determine the area of the table's surface. Show every step of your work. (3 points)Please answer Part A, Part B, And Part C! Will give brainliest What are the 10 reliable sources? For the reaction H2(g) + Cl2(g) 2HCl(g), Kc = 1.22 1033 at a temperature of 301 K. What is Kp at this temperature? A) 1.22 1033 B) 3.01 1034 C) 4.93 1031 D) 7.43 1035 E) 2.00 1030 The most extreme form of legalized social inequality for individuals or groups is ________________?A. slaveryB. open class systemC. closed caste systemsD. caste systems Suppose a young couple deposits $1000 at the end of each quarter in an account that earns 7.6%, compounded quarterly, for a period of 8 years. After the 8 years, they start a family and find they can contribute only $200 per quarter. If they leave the money from the first 8 years in the account and continue to contribute $200 at the end of each quarter for the next 19 years, how much will they have in the account (to help with their childs college expenses)? A group of students conducted the following experiment. In test tube 1, students placed one snail. In test tube 2, they placed one snail and one plant. Both test tubes were sealed closed so that no additional gases, such as oxygen, could enter or leave the test tubes. The students monitored the level of carbon dioxide in both test tubes for one hour. At the end of one hour, students observed that the level of carbon dioxide increased in test tube 1 but remained consistent in test tube 2. Which of the following statements best explains the difference in the carbon dioxide levels observed between the two test tubes? Is a topic a full sentence? The ratio of cassettes tapes to compact discs is 5 to 2, and the number of cassette tapes is 10 less than 5 times the number of compact discs. How many cassette tapes are there Which of the following is an involuntary rhythmic movement of the eyes that is also associated with vestibular dysfunction A gas at 110 C exerts a pressure of 225 torr in a sealed container. The temperature drops to 65 C. What is the pressure of the gas at the cooler temperature? Two negative charges of -3x10-6C exert a repulsive force of 2Non each other. By what distance are they separated? Which of the following is not one of the seven universal emotions described in this chapter?a. contemptb. disgustc. melancholyd. anger Which of the following is an important starting assumption in models of galaxy formation?A) Galaxies form first, then black holes.B) All galaxies start out as spiral galaxies.C) Black holes form first, seeding the formation of galaxies.D) Some regions in the universe start out denser than others. When Tobey was born, his parents invested $2,000 in a fund that paid an annual interest of 6%. How old will Tobey be when the investment is worth at least $5,000? Decribe the motion of a body following under gravity and write the related equation