Let ​f(x)=x²+5x and ​g(x)=4x-3. Perform the composition or operation indicated.
(f/g)(-3)

Answers

Answer 1

9514 1404 393

Answer:

  2/5

Step-by-step explanation:

Put the numbers in the equations and do the arithmetic.

  f(-3) = (-3)² +5(-3) = 9 -15 = -6

  g(-3) = 4(-3) -3 = -12 -3 = -15

Then the composition is ...

  (f/g)(-3) = f(-3)/g(-3) = -6/-15

  (f/g)(-3) = 2/5


Related Questions

if 8 times a number is increased by 3 the result is 19 more than 6 times this number find the number

Answers

Answer:

8

Step-by-step explanation:

let x be the number

8*x+3=6*x+19

8x+3=6x+19

rearrange

8x-6x=19-3

2x=16

x=16/2=8

check: 8*8+3=64+3=67

            6*8+19=48+19=67

The scatter plot shows the test scores of a group of students who studied for different amounts of time in a week. A graph shows Hours Spent Studying on x axis and Test Score on y axis .The graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 100 at increments of 10. The ordered pairs 0, 21 and 0.8, 32 and 1.2,35 and 1.5,39 and 2.1, 42 and 2.3,45 and 2.5,49 and 2.7, 50 and 3, 67 and 4.6, 56 and 5, 69 and 5.3,70 and 5.7,74 and 6.4,78 and 7.2,80 and 7.5,84 and 8.5,88 and 8.7,92 and 9.5,96 are shown on the graph. What will most likely happen to the test scores of students if the number of hours they study increases? Test scores will increase because the graph shows a negative association. Test scores will increase because the graph shows a positive association. Test scores will decrease because the graph shows a positive association. Test scores will decrease because the graph shows a negative association.

Answers

Answer:

Test scores will increase because the graph shows a positive association.

Step-by-step explanation:

Since it is going upwards to the right instead of going downwards and for the people who steady more hours they get better scores on there test.

btw i just took it and got it right

From given scatter plot, if the number of hours they study increases then the test scores will increase because the graph shows a positive association.

What is scatter plot?

"A type of data representation that shows the relationship between two numerical variables. "

What is positive association?

"When the values of one variable tend to increase as the values of the other variable increase, then two variable have positive association."

What is negative association?

"When the values of one variable tend to decrease as the values of the other variable increase, then two variable have negative association."

For given question,

The scatter plot shows the test scores of a group of students who studied for different amounts of time in a week.

A scatter plot shows Hours Spent Studying on x axis and Test Score on y axis .

Also we have been given the ordered pairs

(0, 21), (0.8, 32), (1.2, 35),  (1.5, 39), (2.1, 42), (2.3, 45) and (2.5, 49) and   (2.7, 50) and (3, 67) and (4.6, 56) and (5, 69) and (5.3, 70) and (5.7, 74) and (6.4, 78) and (7.2, 80) and (7.5, 84) and (8.5, 88) and (8.7, 92) and (9.5, 96)

From the given data points of scatter plot,

as x - value increases, y - value also increases.

This means,  if the number of hours they study increases, the test scores will increase.

Here, the values of one variable tend to increase as the values of the other variable increase.

This means, there is positive association in variables Hours Spent Studying and Test Scores.

Therefore, from given scatter plot, if the number of hours they study increases then the test scores will increase because the graph shows a positive association.

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the cost of an airplane flight increases from $250 to $295.
what is the percentage increase?

Answers

The answer to your question is 18% increase

Rudy correctly solved the equation 10 = 4r.
Which statement describes his solution?
A
The solution is 40 since 10 times 4 equals 40.
The solution is 2.5 since 4 times 2.5 equals 10.
С
The solution is 2.5 since 4 divided by 2.5 equals 10.
D
There is no solution because no value can be multiplied by 4 to get 10.

Answers

Answer:

its B

Step-by-step explanation:

i need help on math plz help me fast

Answers

Answer:

The smaller shape has 84% of the larger shape's area.

Step-by-step explanation:

Larger shape: 15 × 12 = (12 × 3) + (12 × 12) = 36 + 144 = 150 + 30 = 180

Smaller shape: 6 × 4.8 = (6 × 4) + (6 × 0.8) = 24 + 4.8 = 28.8

The percent difference is the absolute value of the quotient of the difference between the new value and the original value divided by the original value and then all multiplied by 100. (percentages are really just a fraction of 100)

[tex]|\frac{28.8-180}{180}|*100=|\frac{-151.2}{180}|*100=|-0.84|*100=0.84*100=84[/tex]

% difference = 84%

Hope this helps! Have a great day!

l4legitv3, I know you're really mad at me for getting your alternate account banned. I'm sorry. I only did that because you were acting rude, and I don't like that. I'm tired of being chased all over the place for getting someone banned. I'm willing to become your friend if you'll stop reporting me for that incident. Let's put the past in the past, 'kay?

Sameer woke up one morning and saw frost on the windows. It was -7°C outside. Later in the day, the frost melted. At 3 p.m. it was 2°C outside. Which expression represents the difference between the two temperatures?

Answers

Answer:

[tex]d = 9[/tex]

Step-by-step explanation:

Given

[tex]Morning = -7^{\circ}C[/tex]

[tex]Afternoon = 2^{\circ}C[/tex]

Required

What represent the difference

The expression that represents the difference (d) are:

[tex]d = |Morning - Afternoon|[/tex]

Substitute values for Morning and Afternoon

[tex]d = |-7 - 2|[/tex]

[tex]d = |-9|[/tex]

[tex]d = 9[/tex]

ANSWER ASAP!!!!!!!!!!!!!!!

Answers

Answer:

linear and increasing

Step-by-step explanation:

uwu

This question is worth 2 points! Allison makes and sells beaded necklaces. She charges a flat fee of $5 per necklace, and $1.50 per bead that she adds. If Jennifer, who wants to purchase a necklace, has $34 to spend, how many beads can she add to her necklace? Explain the process you used to solve, and tell what your answer is.

Answers

Answer:

19 beads

Step-by-step explanation:

If Jennifer has 34$ she automatically loses 5$ because that's the fee for the necklace. So, you subtract 34 from 5 and you get 29. After that you divide 29 by 1.50 and you get 19.333333. But, since you can't get 1/3 of a bead Jennifer can only buy 19 beads.

(SAT PREP) Find the value of x, NEED ASAP WILL AWARD BRAINLIEST!

Answers

Answer:

Step-by-step explanation: add 15, 25 and 39

then subtract by 180

Answer:

101

Step-by-step explanation:

(There is a shorter way to solve this, is in the other answer omg sorry)

First we have to find the last angle of the smallest triangle.

The addition of all angles in a triangle is always 180º so that means:

39 + 25 + y = 180

y = 180 - 64

y = 116

Now that we know the value of that angle we can find the other angle (not x) and with it we can get the answer.

Because flat angles are 180º too

Then:

116 + z = 180

z = 180 - 116 = 64

Finally now we calculate the addition of all angles again to find x:

x + 15 + 64 = 180

x = 180 - 79

x = 101

Hope it was helpful ;)

The number of days, d, that it will take to build a house is given by

d= 720 divided by n

where n is the number of workers used each day.

Ali's company will take 40 days to build the house.

Hayley's company will take 30 days to build the house.

Hayley's company will have to use more workers each day than Ali's company.

How many more?

Answers

Answer:

6 more workers

Step-by-step explanation:

The relationship between days (d) and number of workers (n) is given by the equation;

d = 720 / n

Ali's company will take 40 days to build the house.

n = 720 / d

n = 720 / 40 = 18 workers

Hayley's company will take 30 days to build the house.

n = 720 / d

n = 720 / 30 = 24 workers

Hayley's company will have to use more workers each day than Ali's company.

How many more?

24 - 18 = 6 more workers

To use ASA to prove that SEA= PEN, one must show that _____ by the vertical angle theorem.

Answers

Answer:

B

the answer for ur question is:

the answer for ur question is:B

PLS HELP ITS DUE IN 6 MINUTES (Determine the sale price after including and 8.25% sales tax. $18.99 CD; 15% discount )

Answers

Answer:

1. 23.52861

2. 164.374

3. 39.235

4. 1485.148

5. 593.7288

Step-by-step explanation:

1. 23.52861

2. 164.374

3. 39.235

4. 1485.148

5. 593.7288

Someone please help!! asap!!

Answers

Answer:

14.308-665544906576543214990

Joel is planning to pack 5 shirts and 2 pairs of pants for a weekend trip. If he has 11 shirts and 6 pairs of pants to choose from,
in how many different ways can this be done.

Answers

Answer:

5/11 shirts

2/6 pants

he has 67 different ways i think

find the sample standard deviation

Answers

Answer:

Step 1: Calculate the mean of the data—this is xˉx, with, \bar, on top in the formula.

Step 2: Subtract the mean from each data point. ...

Step 3: Square each deviation to make it positive.

Step 4: Add the squared deviations together.

Step 5: Divide the sum by one less than the number of data points in the sample.

Step-by-step explanation:

The results of a linear regression are shown below.
y = ax + b
a=-1.15785
b = 139.3171772
r= -0.896557832
r2 = 0.8038159461
Which phrase best describes the relationship
between x and y?
1) strong negative correlation
2) strong positive correlation
3) weak negative correlation
4) weak positive correlation

Answers

Answer:

2 hopefully this helps you with work

The best describes the relationship between x and y will be;

⇒ Strong negative correlation.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The results of a linear regression are shown below,

⇒ y = ax + b

⇒ a = -1.15785

⇒ b = 139.3171772

⇒ r = -0.896557832

⇒ r₂ = 0.8038159461

Now,

With the value of r we have both the information about the sign of the relationship and the strength of this relationship.

⇒ As the value of r is negative, we can conclude that the correlation between x and y is negative.

Also, as the absolute value of r is close to 1, we can conclude that this relationship is strong.

And, The strength can also be seen in the value of r2, which is also close to 1, but this value does not give information about the sign.

Thus, The value of the slope a, being negative, can also tell us that the relation between x and y is a negative correlation.

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In 2071 the monthly salary of the Chief justice of
Nepal was Rs. 53580. If 1 % tax was levied on firs
Rs. 300000 and certain rate on remaining so that the
chief justice paid Rs. 4537 monthly tax. How much
was the tax percentage on remaining? (Ans: 15%)​

Answers

Answer:

Step-by-step explanation:

There must be an error—or multiple errors—in the question. Rs 300,000 doesn't make sense, because that would mean he was due a tax refund.

Rs 30,000 doesn't work, either, because that would  mean he was paying 18% tax, not 15%.

If a 1% tax was levied on the first Rs 25,000, then he would pay Rs 4,287 on on the remaining Rs 28,580, which would work out to 15%.

1 point
Question 8) What is the value of
the digit 2 in the number 48.621?

2/100
2/10
2
200
options
O
Ο Ο
O​

Answers

9514 1404 393

Answer:

  (a)  2/100

Step-by-step explanation:

To determine the value of a digit, set all other digits to zero. Your digit has a value of ...

  0.020  . . .  two hundredths = 2/100

Answer:

2/10

Step-by-step explanation:

Solve this system by using the elimination method. 2x + 3y = - 12 - x - 3y = 18

Answers

Answer:

Step-by-step explanation:

2x + 3y = -12

-x - 3y = 18

x = 6

-6 - 3y = 18

-3y = 24

y = -8

(6, -8)

The solution of the system by using the elimination method is (6, -8).

What is an Equation?

An equation says that two things are equal. It will have an equals sign "="

How to solve it?

We have,

2x + 3y = -12

-x - 3y = 18

x = 6

Now,

-6 - 3y = 18

-3y = 24

y = -8

We got the solution:

(6, -8)

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What is 100x100000000000000000000000000000000000. Show work

Answers

Answer:

1e + 37

Step-by-step explanation:

the work is to much!

1. Maya had a dozen white eggs
and a dozen brown eggs in her
refrigerator. She used 6 white
eggs and 8 brown eggs to make
breakfast. How many eggs does
she have left?

Answers

Answer:

6 white & 4 brown

Step-by-step explanation:

12-6=6

12-8=4

(SAT PREP) FIND THE VALUE OF X PLEASE ASAP AWARDING BRAINLIEST!!

Answers

Answer:

116

Step-by-step explanation:

x=180-(25+39+15)=116degrees

Answer:

116 is the correct answer to this question

how math is calculated in our everyday life?​

Answers

Answer:

We use math when cooking

Step-by-step explanation:

Answer:

We can use our brains, calculators, and in everyday situations such as cooking, paying for items, etc.

Step-by-step explanation:

For example, if you purchase something at a grocery store, there will be change and you have to calculate the correct amount.

In a lab experiment, 3400 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 8 hours. How long would it be, to the nearest tenth of an hour, until there are 13700 bacteria present?

Answers

Answer: 16.1

Step-by-step explanation:

Which is the value of this expression when =-
=-2
and G=-1?
(602)19-3)?:(6091629)
A
-4
16
16
4

Answers

Answer:

-4 is the correct answer

x: x is a positive counting number less 25}

Answers

Answer:

As the givens set A contains 24 elements.

Therefore,

The Cardinality of the set A = 24

Step-by-step explanation:

Let the given set is A

A = {x: x is a positive counting number less 25}

The set of natural numbers is often termed as the Counting number set.

As the counting numbers are less than 25.

Thus,

Set A will be:

[tex]A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24}[/tex]

 

The Cardinality of the set

The Cardinality of the set represents the total number of elements in a given set.

As the givens set A contains 24 elements.

Therefore,

The Cardinality of the set A = 24

what is the angle of elevation (in degrees) to the nearest degree to the top of a 40ft building 90 ft away ​

Answers

Answer: 24°

Step-by-step explanation:

You have the opposite, the height of the building and the adjacent, the distance from the base of the building. Opposite and adjacent mean you have to use tangent. SOHCAHTOA

Take the inverse tangent on both sides

tan(Ф) = 40/90

Ф = 24°

Mai, Clare, and Tyler are hiking from a parking lot to the summit of a mountain. They pass a sign that gives distances. 3 • Parking lot: 3/4 mile • Summit: 1 1/2 miles Mai says: "We are one third of the way there." Clare says: "We have to go twice as far as we have already gone." Tyler says: “The total hike is three times as long as what we have already gone." a) Can they all be correct?​

Answers

Answer:

Yes they can

Step-by-step explanation:

                         .

Tyler's statements are consistent with the given distances.

To determine if Mai, Clare, and Tyler can all be correct, we need to evaluate the statements they made in relation to the given distances.

Statement 1: Mai says, "We are one third of the way there."

The distance from the parking lot to the summit is 1 1/2 miles. If they are one third of the way there, the distance they have already traveled would be 1/3 * 1 1/2 miles = 1/3 * 3/2 miles = 1/2 mile. However, the given distance from the parking lot is 3/4 mile, which is greater than 1/2 mile. Therefore, Mai's statement cannot be correct.

Statement 2: Clare says, "We have to go twice as far as we have already gone."

If they have already gone a distance of x, then according to Clare's statement, they have to go a distance of 2x. This statement does not contradict the given distances, so it could be true.

Statement 3: Tyler says, "The total hike is three times as long as what we have already gone."

If they have already gone a distance of x, then according to Tyler's statement, the total hike would be 3x. This statement also does not contradict the given distances, so it could be true.

Based on the analysis, only Mai's statement cannot be correct. Clare and Tyler's statements are consistent with the given distances.

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need help like every time :{

Answers

Answer:

I need free points but all ik is the -4 needs to be divided by 4 then u have 5g+14=5g/-1

Step-by-step explanation:

step 1: multiply both sides:
20g + 56 = 5g - 4
step 2: move the terms
20g - 5g = -4 -56
step 3: collect like terms and calculate
15g = -60
step 4: divide both sides
g = -4
a good app for help with solving equations is photomath! it shows you the solving steps, hope this helps!

Auditors must make judgments about various aspects of an audit on the basis of their own direct experience, indirect experience, or a combination of the two. In a study, auditors were asked to make judgments about the frequency of errors to be found in an audit. The judgments by the auditors were then compared to the actual results. The data are contained in the Excel Online file below. Suppose the data were obtained from a similar study; lower scores indicate better judgments.
Direct Indirect Combination
17.0 16.6 25.2
18.5 22.2 24.0
15.8 20.5 21.5
18.2 18.3 26.8
20.2 24.2 27.5
16.0 19.8 25.8
13.3 21.2 24.2
Construct a spreadsheet to answer the following questions. Open spreadsheet Use to test to see whether the basis for the judgment affects the quality of the judgment. The -value is (to 2 decimals) . The exact -value is (to 4 decimals) .
What is your conclusion?

Answers

Solution :

         Direct          Indirect           Combination

1          17                  16.6                    25.2

2        18.5                22.2                    24

3        15.8                20.5                    21.5

4        18.2              18.3                       26.8

5        20.2             24.2                      27.5

6        16                   19.8                     25.8

7        13.3                21.2                      24.2

n         7                     7                           7

[tex]$\bar X$[/tex]        17                   20.4                      25

s         2.238            2.501                      2.002

[tex]$\bar X_{avg}$[/tex]   20.8              

Source               df           SS              MS                F          P-value

treatments        2        225.680     112.840      22.1593    0.000

error                  18        91.660       5.092

total                   20       317.340

The test hypothesis is :

[tex]$H_0$[/tex] : the basis for the judgement does not affects the quality of the judgment.

[tex]$H_a$[/tex] : the basis for the judgement affects the quality of the judgement.

Given a = 0.05, since the p-value is less than 0.05, so we reject [tex]$H_0$[/tex].

Therefore, the basis for the judgement affects the quality of the judgement.

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