For all values of x,
f(x) = x-1
and
g(x) = 2x^2 + 3
Solve fg(x) = gf(x)




Answers

Answer 1

Answer:

Solutions given:

f(x) = x-1

and

g(x) = 2x^2 + 3

we have

fg(x) = gf(x)

f(2x²+3)=g(x-1)

2x²+3-1=2(x-1)²+3

2x²+2=2x²-4x+2+3

2x²-2x²+4x=5-2

4x=3

x=¾

is a right answer.


Related Questions

Mario builds a triangular table- help!!

Answers

Answer:

Step-by-step explanation:

question 1a) hey, so it would look like this for example:

question 1b) no, because they don't follow the rules of a 30-60-90 triangle (like the one shown below)

tell me if u have any questions

Factor by grouping. 9c^3-12c^2+18c-24

Answers

Answer:

[tex]9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4][/tex]

Step-by-step explanation:

Given

[tex]9c^3 - 12c^2 - 18c - 24[/tex]

Required

Factor

Group into 2

[tex][9c^3 - 12c^2] - [18c + 24][/tex]

Factorize each group

[tex]3c^2[3c - 4] - 6[3c - 4][/tex]

Factor out 3c - 4

[tex][3c^2 - 6][3c - 4][/tex]

Hence:

[tex]9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4][/tex]

Which describes the relationship between EG and DF 2 Select all that apply.
ty
F
E
21
ס
o
2
4
A
perpendicular
B bisect each other
C. parallel
D. congruent

Answers

Answer:

A  perpendicular

B bisect each other  

D. congruent

Step-by-step explanation:

Given

Attached quadrilateral

Required

Relationship between EG and DF

First, we have that: DEFG is a square

EG and DF are diagonals

Using the property of diagonals of a square, we have:

EG and DF to be perpendicular

EG and DF to be congruent

EG and DF to be bisect each other

After the warm-up the participant performs the WAnT. You don't have equipment to automatically track power output, therefore, you count revolutions for each 5 second period of the test. The results are as follows:

Time(sec) 5sec_rpm cumulative
0-5 10 10
5-10 7 17
10-15 9 26
15-20 7 33
20-25 7 40
25-30 6 46

The power output can now be computed for each 5 second period using the following equation:

kg of resistance x number of revolutions x 11.765= power (watts)

Required:
What is the power output for each 5 second period?

Answers

Answer: Missing detail ( weight of resistance = 6.69 Kg )

answer :

787.0785 watts 550.95 watts708.37 watts 550.95 watts 550.95 watts 472.25 watts

Step-by-step explanation:

Applying the equation for computing the power output

= Kg of resistance * number of revolutions * 11.765  ------- ( 1 )

Calculate the power output for each 5 second period

weight ( Kg of resistance ) = 6.69 Kg

Equation 1 becomes :

6.69 * number of revolutions * 11.765  ---- ( 2 )

Next :Apply equation (2) to every 5 seconds interval as represented in the table

For Time 0 - 5  

Number of revolutions ( rpm ) = 10

power output = 6.69 * 10 * 11.765  = 787.0785 watts

cumulative rpm = 10 + 0

Cumulative Power = power output + previous power output = 787. 0785watt

For Time  ( 5 - 10 )

Number of revolutions ( rpm ) = 7

Power output = 6.69 * 7 * 11.765 = 550.95 watts

Cumulative rpm = rpm + previous rpm = 7 + 10 = 17

Cumulative power = power output + previous power output

                               = 550.95 + 787.0785  = 1338.0285 watts

Power output for ( 10 - 15 ) = 6.69 * 9 * 11.765  = 708.37 watts

Power output for ( 15 - 20 ) = 6.69 * 7 * 11.765  = 550.95 watts

Power output for ( 20 - 25 ) = 6.69 * 7 * 11.765 = 550.95 watts

Power output for ( 25 - 30 ) = 6.69 * 6 * 11.765 = 472.25 watts

Help please first person to answer it right gets Brainliest

Answers

Answer: Subtracted 9.

Step-by-step explanation: To solve equations such as these, you always do the opposite than whatever the term is. For example, in your equation, "13" and "x" are MULTIPLIED together, which is why it's divided. The 9 is subtracted, which means it would need to be added to the other side.

Always remember that these equations are like scales- each side needs to be equal.

I hope this helps!

PLEASE HELP ASAPPPP!!!!!

Answers

Answer:

see below

Step-by-step explanation:  5 20 15 39

coin 2 possibilities    1/2

three coins    (1/2) × (1/2) × (1/2)    =    _________     or (1/2)³

Jack has 35 sports cards. He gives 5 to his brother. Which number sentence can
Jack use to find how many cards he has left?
35 x 5 = 175
35 : 5 = 7
35 + 5 = 40
35 – 5 = 30

Answers

The answer is 35-5=30 so it’s D.

Using the picture above Find the measure of arc EF

Answers

Given:

Measure of arc CG is 125 degrees.

The measure of angle CDG is 85 degrees.

To find:

The measure of arc EF.

Solution:

Intersecting chords theorem: If two chords intersect each other inside the circle, then the measure of angle on the intersection is half of the sum of intercepted arcs.

Using the intersecting chords theorem, we get

[tex]m\angle CDG=\dfrac{1}{2}(m(arcCG)+m(arcEF))[/tex]

Let x degrees be the measure of arc EF.

Substituting the given values, we get

[tex]85^\circ=\dfrac{1}{2}(125^\circ+x)[/tex]

[tex]2\times 85^\circ=125^\circ+x[/tex]

[tex]170^\circ -125^\circ=x[/tex]

[tex]45^\circ=x[/tex]

Therefore, the measure of arc EF is [tex]45^\circ[/tex].

Part 1 l: Jose and Tamika are married with three children . If they decided to combine their income taxes and complete one tax form , what is their filing status ? . Part 2: Jose makes $54,923 and Tamika has an earned income of $49,500 for the year. Using your answer from part 1 how much will they owe in taxes?

Answers

Answer:

that is you ni report kits

Samantha Smith purchased a $50,000 policy for $1,050 per year. After ten years, what will be the ratio (percentage) of
cash value to premiums paid?
%
Ratio of cash value to premiums paid (to the nearest tenth)

Answers

Answer:

After 10 years the ratio will be 10500: 500000

Answer:

2.1%

Step-by-step explanation:

I converted the ration to a percent. (on g o o g l e)

Please Brainlyest

Mariah is a manager of a fitness training center that serves a certain region. She is interested in the amount of water adult residents in her region consume on average per day. She conducts a survey, where she selects 645 adult residents from the region at random and asks each individual to track how much water, in fluid ounces he or she consumes on average per day Among the 645 in the sample, the average is approximately 62.7 fluid Ounces Explain whether the results of Mariah's survey could be extended to all the residents of the region (1 point)
A) The results of the survey could be extended to all residents of the region because Mariah's fitness training center serves the region that contains the population of interest.
B) The results of the survey cannot be extended to all residents of the region because Maria only selected adult residents of the region at random.
C) The results of the survey could be extended to all residents of the region because all of the individuals in Mariah's sample are residents of the region
D)The results of the survey could be extended because the adult residents in Mariah's sample are representative of al the residents of the region.

Answers

Your answer should be B

HELP PLZZ ill give u brainlest !!!
Hakeem owns seven less than 3/5
the number of DVDs that Manuel owns. Hakeem owns 20 DVDs. How many DVDs does Manuel own? Show your work.

Answers

Answer: 45 DVDs

Step-by-step explanation:

Assume that the number of DVDs owned by Manuel is x.

In comparison to Manuel therefore, the DVDs owned by Hakeem can be expressed as:

= 3/5 * x - 7

We know that Hakeem owns 20 DVDs so we can use this number to solve for x:

20 = 3/5x - 7

3/5x = 20 + 7

3/5x = 27

x = 27 ÷ 3/5

x = 27 * 5/3

x = 45 DVDs

HELP ASAP! Look at pic :,)

Answers

Answer:

E

Step-by-step explanation:

the chair can go in any time AFTER the bed, so let’s think bed first

then he wants to move the heavy stuff, then awkward.

so the dresser and desk are heavy, and the couch is awkward.

but the chair can go in at any time so E would make sense

Need help filling in the blanks

Answers

Answer:

translated up 5 units and stretch by the factor 4

I am a 3-digit number divisible by 7, but not 2. The sum of my digits is 4. Hint it is not 121

Answers

Answer:

301

Step-by-step explanation:

3 + 0 + 1 = 4

301 / 7 = 43

301 / 2 = 105.5

Answer:

301

Step-by-step explanation:

301 divided by 7 = 43

301 is not divisible by 2

3 + 1 + 0 = 4

Hope this helps :)

A system of equations is shown on the graph below.

On a coordinate plane, 2 lines intersect at (negative 1, 2).

How many solutions does this system have?

no solutions
one unique solution
two solutions
an infinite number of solutions

Answers

Answer:

one unique solution

Step-by-step explanation:

one unique solution => (-1, 2)

Answer:

B

Step-by-step explanation:

1200 students attend Ridgewood Junior High School. 5% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?

Answers

Answer:

Your answer is 60 kids brought there lunch to school on Thursday.

Step-by-step explanation:

1200*.05 = 60

6. Which of the following statements below is correct?
A. Circumference is the result of adding diameter by pi.
B. Circumference is the result of dividing diameter by pi.
C. Circumference is the result of subtracting diameter by pi.
D. Circumference is the result of multiplying the diameter by pi.​

Answers

d

.........................

Write the equation of the line whose slope and the point through which it passes are given. Express the equation in point-slope form. (-5-6) and slope m = 3/8

Answers

Answer:

Step-by-step explanation:

URGENt! PLS HELP. DONT USE LINKS OR JOKE. SEND REAL ANSWER. ITS VOLUME.

Answers

Answer:

334

Step-by-step explanation:

What is the volume of the prism?

Answers

200 Should be the answer

Hi there!

I believe your answer is:  

[tex]200\text{in}^3[/tex]

Here’s why:

The formula for volume of a rectangular prism is:

[tex]V = LWH\\\\L-\text{Length}\\W-\text{Width}\\H-\text{Height}[/tex]

Our given measurements are:

[tex]\text{The height of 8 inches.}\\\\\text{The length of 5 inches.}\\\\\text{The width of 5 inches.}[/tex]

Plugging in the values into the formula...

[tex]V = 5 * 5 * 8\\\\\text{Multiply from left to right.}\\\\\rightarrow V=25*8\\\\\rightarrow \boxed{V=200}[/tex]

[tex]\text{The volume of the prism given should be }\boxed{\text{200 cubic inches.}}[/tex]

Hope this helps you. I apologize if it’s incorrect.  

Question 2 of 10

What is the slope of the line y = 3? Answer here.

______ ​

Answers

Answer:

0

Step-by-step explanation:

The slope of a horizontal line will always be 0. In our given line, y will equal 3 at any point on the line. This means the line is horizontal, so the slope = 0.

I hope this helps ^^ Good luck ·ω·

Answer:

0

Step-by-step explanation:

Since, You have only given us that y=3.

The slope will be 0

and the y-intercept will be: (0,3)

x | y

0 | 3

1 | 3

A factory bottles 511 bottles of juice in 7 minutes. Find the factory's unit rate of bottles per minute.

A. 511 bottles/7 minutes
B. 73 minutes/1 bottle
C. 73 bottles/1 minute
D. 73:1

Answers

511 divided by 7 is the unit rate. So a is how you get it but d is the answer

A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity. Wind speeds must average more than 20 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. Based on a sample of n = 43 wind speed recordings (taken at random intervals), the wind speed at the site averaged x = 25.8 mph, with a standard deviation of s = 4.2 mph. To determine whether the site meets the organization's requirements, consider the test, H0: µ = 25 vs. Ha: µ > 25, where µ is the true mean wind speed at the site and alpha = .01. Suppose the value of the test statistic were computed to be 1.25. State the conclusion.
A) At alpha = .01, there is sufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph.
B) At alpha΅= .01, there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph.
C) We are 99% confident that the site meets the organization's requirements.
D) We are 99% confident that the site does not meet the organization's requirements.

Answers

Answer:

B) At alpha = 0.01, there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph.

Step-by-step explanation:

P-value of the test:

The p-value of the test is the probability of finding a sample mean above 25.

We are using the t-distribution, with test statistic t = 1.25 and 43 - 1 = 42 degrees of freedom. This probability is a right-tailed test.

With the help of a calculator, this p-value is of 0.1091.

Since the p-value of the test is 0.1091 > 0.01, at [tex]\alpha = 0.01[/tex] there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph, and the correct answer is given by option B.

Marcia is traveling with her family in the car. If they traveled 240 miles in 4 hours, at what rate, or speed were they traveling? Use the formula d ÷ t, where d represents the distance and t represents the time.
80 miles per hour
236 miles per hour
40 miles per hour
60 miles per hour

Answers

Answer:

60 miles per hour

Step-by-step explanation:

240/4 = 60 miles per hour

Answer:

60 miles per hour

Step-by-step explanation:

In order to find the rate at which Marcia's family's' car is travelling, you would simply divide the total miles, which would be 240 or "d," by the time, which would be 4 hours or "t."

[tex]\frac{240}{4}[/tex] = 60

So, Marcia's family's car is travelling at 60 miles per hour.

Hope this helps :)

Please solve this maths equation

Answers

the answer to the question is two.

Answer:

2

Step-by-step explanation:

Hello !

In order to add fractions...

*You must have a common denominator (remember the top is the numerator and the bottom is the denominator)

So...

1 1/2 + 1/2

Although both have a 2 at the bottom, you can't add these because 1 1/2 is a mixed number and 1/2 isn't. To add them, you have to turn 1 1/2 into an improper fraction. You do this by multiplying the denominator by the whole number and then adding that to the numerator.

So 1 1/2 is the same thing as 3/2.

Now, you can add straight across.

3/2 + 1/2 = 4/2

4/2 = 2

Your answer is : 2

I hope this helps, please let me know if you're confused or have any more questions and I'll be happy to help.

Have a wonderful night :)

In which of the expressions below will x = 3? Select all that apply.
A) 5.5x=22
B) 19x−12x+6=27
C) 15x5=9
D) 18−(x+6)=10
E) 2x3+6=60

Answers

Answer: b

Step-by-step explanation: 19 x 3 = 57 & 12 x 3= 36 so subtract 57 and 36 that’s going to give you 21 & 21 plus 6 is 27

Answer:

Its B

Step-by-step explanation:

Please help me solve this question

Answers

Answer:

The final answer is 78 inches, though I would recommend for you to read through the steps of how this is achieved.

Step-by-step explanation:

To start, to grasp the corresponding sides deal, think of it as saying Quad 1234 is equal to Quad ABCD. Now, it is fairly easy to make up the sides between the two shapes. With this, the following is true:

Side 12 ≅ Side AB

Side 23 ≅ Side BC

Side 34 ≅ Side CD

With the end, it loops back around to meet back at the first edge of the shape again, if you're looking for a side length.

Side 41 ≅ Side DA

Now, with the real stuff. We're greeted with the Quads DEFG and KLMN, and asked to find FG. Looking at it, FG would be using the 3rd and 4th letters of the set of quad edges. Comparing this to the other quad shape, the 3rd and 4th letters are MN. Therefore, lets use this.

Next, set these equal to each other. FG is 5y+3 and MN is 7y-27

5y+3 = 7y-27

5y = 7y-30

-2y = -30

2y = 30

y = 15

y equals 15.

Lastly, plug this into the equation for FG to get the final answer.

5(15)+3

75+3

78 inches

A and B are two events. Let P(A) = 0.3, P(B) = 0.9, and P(Aand B) = 0.24. Which statement is true?

Answers

Answer:

blue one (c), not independent because P(A|B) ≠ P(A)

Step-by-step explanation:

Two events are independent of each other if you can mulitply them to get their intersection

To find the conditonal probability of two independent events you can use the following idea/formula

P(A|B)= (P(A)*P(B))/P(B) which simplifies to P(A) (so the probability of A given B when A and B are independent of each other is just the probability of A)

Now with the numbers we're given let's find P(A|B)

.24/.9= .26666666666667

Because this is not equal to .3 (or P(A)) the answer must be the blue one

10.
AABC is dilated by a scale factor of with the origin as the center
of dilation. Given A(-6, 4), B(0, -4), and C(2, -8), what would be
the x-coordinate of A'?
Record your answer and bubble the grid.
Plez help

Answers

I’m thinking d

Step by step
The answer should be D
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