PLEASEEE HELP I NEED ONE MORE

PLEASEEE HELP I NEED ONE MORE

Answers

Answer 1

The solution of the function is as follows:

(f o g)(x) = 16x² + 17x + 1

(g o f)(x) = 4x² + 36x + 1

How to solve composite function?

Composite functions are when the output of one function is used as the input of another.

Therefore, let's solve the composite functions as follows:

f(x) = x² + 9x

g(x) = 4x + 1

Therefore,

(f o g)(x) = f(g(x))

Therefore,

f(g(x)) = (4x + 1)² + 9x = (4x + 1)(4x + 1) + 9x = 16x² + 4x + 4x + 1 + 9x = 16x² + 17x + 1

(g o f)(x) = g(f(x))

g(f(x)) = 4(x² + 9x) + 1 = 4x² + 36x + 1

Therefore,

(f o g)(x) = 16x² + 17x + 1

(g o f)(x) = 4x² + 36x + 1

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Related Questions

How much WORK is done when you push on a wall with 500 N, and the wall moves 0.5 m?

Answers

Answer:

the amount of work that is done when the wall is moving 0.5 m is 250 jewels

Step-by-step explanation:

1) write out the equation

(W=F×d)

2) plug in the numbers into the equation

W= F×d= 500 ×0.5 m

3) solve the problem

W=F×d=500 × 0.5m =250 jewels

What is the coefficient in the following expression

5+3x+ (-3)​

Answers

Answer:

The coefficient is 3.

Step-by-step explanation:

The coefficient is the number that is grouped with an unknown number represented by a letter.

6(3y + 2) + 8(4y + 3) + 6y =

Answers

6(3y+2) + 8(4y+3) + 6y =

Distribute:

18y + 12 + 32y + 24 + 6y =

Combine like terms:

56y + 36

Is 1/3 less than or greater than 5?

Answers

Answer: Less than 5

Step-by-step explanation: 1/3 is less than one its .33 so 5 is bigger

Answer: 5

Step-by-step explanation: 1/3 is smaller than 5 therefore 5 is bigger

Carsen loves to run. She runs 4 miles each day. If she wants to run a total of 56 miles how many days should she run? Write an equation to show this problem along with the answer. *Please click on "show your work" to set up the problem and show your work. Then, enter your answer in the box to the right. You must complete both of these steps.​

Answers

Answer:

4 miles/1 day=56 miles/X days

X=56/4=14

Step-by-step explanation:

Answer:

She runs 14 miles.

explanation:

I got it right on my test (before I saw the other answer).

Which is greater? 12.045 or 12.54

Answers

Answer:

12.54

Step-by-step explanation:

which state ment correctly identifies the line of reflection ​

Answers

The y axis is down the middle of the 2
the answer for this problem is y axis is down the middle of 2

Which do the following options represent the measure of arc RA

A.38.6
B.65.6
C.71.4
D.77.2

Answers

Answer:

77.2°

Step-by-step explanation:

Consider the triangle JKR.

∠KJR=108.6 (lies on the same line as ∠RJA, angles on a straight line add up to 180)

All the angles in a triangle add up to 180, so:

∠JKR+∠KJR+∠JRK=180

∠JKR+108.6+32.8=180

∠JKR=38.6=∠RKA

Consider ∠RKA. This angle stands on the same arc as ∠RCA.

Since the angle at centre is twice the angle at circumference, 2(∠RKA) = ∠RCA.

2(∠RKA) = ∠RCA

2(38.6)=∠RCA

∠RCA=77.2°

Determine if the finite correction factor should be used. If​ so, use it in your calculations when you find the probability. In a sample of 800 gas​ stations, the mean price for regular gasoline at the pump was $2.816 per gallon and the standard deviation was ​$0.008 per gallon. A random sample of size 45 is drawn from this population. What is the probability that the mean price per gallon is less than ​$2.812​?

Answers

Answer:

0.0003 = 0.03% probability that the mean price per gallon is less than ​$2.812​

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Finite correction factor:

If the sample is more than 5% of the population, instead of Central Limit Theorem, we use the finite correction factor, as the standard deviation of the sampling distribution would be too big.

The mean price for regular gasoline at the pump was $2.816 per gallon and the standard deviation was ​$0.008 per gallon.

Large sample, so this can be treated as the population data. Then [tex]\mu = 2.816, \sigma = 0.008[/tex]

Sample of 45:

45/800 = 0.056 = 5.6% -> Sample more than 5% of the population, so we use the finite correction factor. This means that s will be multiplied by:

[tex]FCF = \sqrt{\frac{N-n}{N-1}}[/tex]

In which n is the size of the sample(45) and N is the size of the population (800). So

[tex]FCF = \sqrt{\frac{755}{799}} = 0.9721[/tex]

By the Central Limit Theorem, [tex]n = 45, s = 0.9721*\frac{0.008}{\sqrt{45}} = 0.00116[/tex]

What is the probability that the mean price per gallon is less than ​$2.812​?

This is the pvalue of Z when X = 2.812. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{2.812 - 2.816}{0.00116}[/tex]

[tex]Z = -3.45[/tex]

[tex]Z = -3.45[/tex] has a pvalue of 0.0003

0.0003 = 0.03% probability that the mean price per gallon is less than ​$2.812​

Please help!! I will give you brain list

Answers

It would take you 16.84 or 17 weeks because 85,489÷10,153 equals 8.42 and if you multiply 8.42 by 2 you would get 16.84

Answer:

It will take you at least 17 full weeks to make twice what you spend on the arcade.

Step-by-step explanation:

The inequality will look like this: 10,153x ≥ 170,978

After 17 weeks, you'll have made $172,601, one week less you'll only make $162,448, so it will take you at least 17 full weeks to make twice what you spent on the arcade.

y=ax with a>1

im very confused on what to do

Answers

Answer:

Step-by-step explanation:

‘a’ in this question is the slope of the line. Slope is (y2-y1)/(x2-x1) for any two points. We can see the line intersects the point (0,0) and (-10/9) so the slope is -10/9 which is less than -1 so

a<-1

what is 3,000 + 200 + .4 + .06 in standard from

Answers

Answer:

3,200.406

I think

Step-by-step explanation:

Answer:

Hello! :) have a good day!

3000 + 200 + .4 + 0.6 in standard form is 3201

PLEASE HELP ITS OVERDUE PLEASE I NEED HELP!!

Answers

Answer:

B

Step-by-step explanation:

it has a line of 1/12 so every shirt is $12

simplify your answer

Answers

Answer:

51

Step-by-step explanation:

Simplify: (3x - 4x^2 + 8x^3) + ( - 6x + 2x^4 - 5x^2)

Answers

Answer:

−x(3−9x+8x^2+2x^3)

That's the answer simplified. Not simplified is −3x−9x^2+8x^3+2x^4

Step-by-step explanation:

James has $25 to spend at the concession stand. He buys nachos for $8.50, a soda for $2.50 and some Sour Straws for $1.25 each. How many Sour Straws can James purchase with the money he has?

A. 1.25x + 11 > 25
B. 1.25x + 11 < 25
C. 11x + 1.25 > 25
D. 1.25x + 11 < 25
E. 11x + 1.25 > 25
F. 25x - 1.25 > 11

Answers

B and D hope it’s right
Answer is D
Hopes this helps

The distance from New York City to Riverhead is approximately 150 miles. On a map whose scale is 24mi= 2inch, what is the distance between the two locations in inches?​

Answers

Answer:

12.5 inches

Step-by-step explanation:

Given

[tex]Distance = 150\ miles[/tex]

[tex]Scale:= 24\ miles : 2\ inches[/tex]

Required

Determine the measurement in inches

Represent the inches equivalent with d.

So, the scale can also be calculated as:

[tex]Scale:= 150\ miles: d[/tex]

Equate both scales

[tex]150\ miles: d = 24\ miles ; 2\ inches[/tex]

Convert to fraction

[tex]\frac{d}{150\ miles} = \frac{2\ inches}{24\ miles}[/tex]

[tex]\frac{d}{150} = \frac{2\ inches}{24}[/tex]

Multiply both sides by 150

[tex]150 * \frac{d}{150} = \frac{2\ inches}{24} * 150[/tex]

[tex]d = \frac{2\ inches}{24} * 150[/tex]

[tex]d = \frac{2\ inches * 150}{24}[/tex]

[tex]d = \frac{300\ inches}{24}[/tex]

[tex]d =12.5\ inches[/tex]

Write an equation using “x” and then solve the equation. The rate charged for a standard room is $250 dollars. A couple stayed in a standard room for x nights and their total room charge is $750.

Answers

Answer:

3 nights

Step-by-step explanation:

total charge = rate times time interval

Here, time interval = total charge / rate

                               $750 = ($250/night)(n nights)

                                Solving for n, we get n = 3 (nights)

An equation for a couple stayed in a standard room for x nights and their total room charge is $750 is, 250x  = 750

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

The rate charged for a standard room is $250 dollars

A couple stayed in a standard room for x nights

Total room charge =  $750

Equation = ?

Total charge = 250 × x

Total charge =  750

So,

250x  = 750

Thus, an equation is 250x  = 750

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The ratio of children to adults at a movie theater was 8:5. The theater sold 120 children tickets
that evening. How many adults attended the theater that night? How many tickets did the theater
sell altogether?

Answers

Answer:

75 adults

195 total tickets

Step-by-step explanation:

8:5

120:x

Skylas research Shows at eight empty cans make 1/ 4th pound of aluminum
she
wants to know how many cans it takes to make 5 pounds of aluminum how many kids are there per pound of aluminum

Answers

Answer:

160 cans for 5 pounds of aluminum

Step-by-step explanation:

Is this a parallelogram? If so, please explain why.

Answers

Answer:

the answer is no

Step-by-step explanation:

It only shows that one pair of lines are parallel but not both are. Parallelograms have two pairs of parallel lines.

the answer is a no!!!

I WILL GIVE BRAINLIST PLEASE HELP

Is the set of rational expressions closed under ​subtraction​? Explain p(x) - r(x) = ______________
q(x) s(x)
2. Is the set of rational expressions closed under ​multiplication​? Explain ( p(x) ) ( r(x) ) = _______________
q(x) s(x)
3. Is the set of rational expressions closed under ​division​? Explain
p(x) ÷ r(x) = ________________ q(x) s(x)

Answers

Answer:

so where is the equation

Please help me with this question what’s 84 + 6 1/3

Answers

Answer:

90 1/3

Step-by-step explanation:

Answer: Mixed number form = 90 1/3

Decimal form = 90.3 with a repation bar

Actual Form = 271 / 3

Step-by-step explanation:

find the area of a rectangular carpet the measures 3 1/3 feet by 3 feet

Answers

Answer:

area = 4

Step-by-step explanation:

area = length × width

length= 3 1/3 =3/3 = 1 and width= 3

area = 1 × 3

= 4

SOLVE FOR w
-3(w + 5) = -6

Answers

Answer:

Step-by-step explanation:

-3w - 15 = -6

-3w = 9

w = -3

Answer:

w = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

-3(w + 5) = -6

Step 2: Solve for w

[Division Property of Equality] Divide -3 on both sides:                              w + 5 = 2[Subtraction Property of Equality] Subtract 5 on both sides:                     w = -3

I don't get this part can somebody help pls?

Answers

Answer:

the ground level is -2

Step-by-step explanation:

hope this helps

What is the solution to the equation 9 ^-3x ≈ 7?

Answers

Answer:

Press the png

Step-by-step explanation:

4/5 = 28/x

x=
i need to know what x =

Answers

Answer:

Hello! :) have a good day!

x = 35

4/5 = 28/35

Need number 11 and 10 all parts

Answers

nobody’s gonna do all parts for only 5 points

Write 1/4 as a fraction with 8 as the denominator. Then add the fraction to 3/8. What is the sum? Write the fractions and the answer.

Answers

Answer:

2/8, 5/8

Step-by-step explanation:

[tex]\frac{1}{4}*\frac{2}{2} =\frac{2}{8} \\\\\frac{3}{8} +\frac{2}{8} =\frac{5}{8}[/tex]

Multiplying by 2/2 is like multiplying by 1, so it doesn't affect the value.

To add fractions with the same denominator just add the numerator, the denominator stays the same.

The fraction is 2/8 and the sum is 5/8.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

let the numerator be x when denominator is 8.

so, 1/4 = x /8

8 = 4x

x= 8/4

x= 2

Now, fraction resulted above is added with 3/8

2/8 + 3/8

= (2+3)/8

= 5/8

Hence, the sum is 5/8.

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