Given that for all values of x,
f(x) = 4x + p
g(x) = px + 1
and fg(x) = 12x + q
where p and q are constants.
Work out the values of p and q.

Answers

Answer 1

Answer:

Step-by-step explanation:

p = 3

M also looking for q.

Answer 2

If f(x) = 4x + p, g(x) = px + 1 and fg(x) = 12x + q. The value of p and q are 4 and 7.

What is Function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)

f(x) = 4x + p

g(x) = px + 1

and fg(x) = 12x + q...(1)

So f(g(x)=4(px+1)+p

=4px+4+p...*

Comparing * with (1).

4p=12

P=3

q=4+p

q=4+3

q=7

Therefore p is 3 and q is 7.

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Related Questions

PLEASEEEE HELPPPPP♥️♥️♥️​

Answers

Answer:

I believe its A !

Explanation:

Since one angle and one side are given, a different angle can prove that its ≅

You would be using ASA

Determine the number that can be used in place of the question mark to make the equation true.

(1/5)^?= 25
The solution is

Answers

(1/5)^x = 25
x = -2
Since when it’s a fraction, the result is negative.
The solution is -2

5m + 4/5
=7 solve pls give step by step

Answers

5m + 4/5 = 7

=> 5m = 7 - 4/5

=> 5m = 35/5 - 4/5

=> 5m = 31/5

=> m = 31/5×5

=> m = 31/25

please help will give brainiest

Answers

❤❤❤❤❤❤❤❤❤❤❤❤❤

[tex]percent \: \: of \: \: boys = \frac{42 - girls}{42} \times 100 \\ [/tex]

❤❤❤❤❤❤❤❤❤❤❤❤❤

42-35 = 100
42


42 is the total and 35 are the girls on the class band.

Hope this helps :D

In Triangle DEF, the sum of the measures of Angle D and Angle E is 110. The sum of the measures of Angle E and Angle F is 150. Find the sum of the measures of Angle D and F.​

Answers

The required sum of the measures of angles D and F is 260 degrees.

Let's represent the measures of angles D, E, and F as D, E, and F, respectively.

From the given information, we have the following equations:

D + E = 110 (The sum of the measures of angles D and E is 110)

E + F = 150 (The sum of the measures of angles E and F is 150)

Now, we want to find the sum of the measures of angles D and F, which is D + F.

To find D + F, we need to eliminate E from the equations. We can do this by adding equations (1) and (2):

(D + E) + (E + F) = 110 + 150

Now, the E terms cancel out:

D + F = 260

So, the sum of the measures of angles D and F is 260 degrees.

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Sausages come in packets of 12. Bread rolls come in packets of 9. Brian wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?

lcm??????????

Answers

Answer:

LCM is 36

Step-by-step explanation:

9 x 4 = 36

12 x 3 = 36

is this graph a function?
a. this is a function
b. this not a function
c. this cannot be determined from this graph

Answers

Answer:

A.This is a function

Step-by-step explanation:

Answer:

a. this is a function

Step-by-step explanation:

Coz If any vertical line intersects a graph more than once, the relation represented by the graph is not a function. SO THIS IS A FUNCTION.

Please help me!! I have no idea how to solve this. I have two more like this and if you answer this one correct I will ask you if you could solve the other two and give you 15 for each question.

Answers

Answer:

A

Step-by-step explanation:

The x-intercept is the point at which the graph crosses the x-axis, find where y=0, then find the x for that point, so it’s A.

In the figure below, 7 ||
m. Find x.

Answers

Answer:

96

Step-by-step explanation:

Please help :(

Find the standard deviation of the set of data below to the nearest tenth.

14,11,9,6,10,16,15,13,9,12,19,10

Answers

Answer:

3.4 nearest tenth

Step-by-step explanation:

Standard Deviation, σ: 3.4399612400917

Count, N: 12

Sum, Σx: 144

Mean, μ: 12

Variance, σ2:  11.833333333333

Steps

σ2 =  Σ(xi - μ)2

N

=  

(14 - 12)2 + ... + (10 - 12)2

12

=  

142

12

=  11.833333333333

σ =  √11.833333333333

=  3.4399612400917

Hope this helps ya!

Sorry this didn't have the symbols I needed so that's why it's a little confusing.

Write an equation of a line in standard form. (2,7)=-4

Answers

Answer:

i need points

Step-by-step explanation:

A box of Fruit Rings cereal weighs 15.5 ounces. If there is approximately 0.04 ounces per gram, which best describes the weight, in grams, of a box of Fruit Rings?

Answers

Answer:

387.5 grams

Step-by-step explanation:

0.04 ounces = 1 grams

15.5 ounces = x grams

Cross Multiply

0.04 ounces × x grams = 15.5 ounces × 1 grams

x = 15.5 /0.04

x = 387.5 grams

The weight, in grams, of a box of Fruit Rings is 387.5 grams

Can y’all help me with dis question

Answers

Answer:

A i'm pretty sure

Step-by-step explanation:

The answer is A. I hope this helps you and you do well!!

A company makes wax candles shaped like rectangular prisms. Each candle is 4 cm long, 3 cm wide, and 10 cm tall. If the company used 4080 cm of wax, how many candles did they make?

Answers

Answer:

34

Step-by-step explanation:

You can solve this problem by finding the volume of the candle first. The formula for rectangular prism is multiplying all three of its dimension. In this case, you would multiply 3, 10, and 4 together to get 120 cm^3. Assuming the question meant "the company used 4080 cm^3 of wax", divide 4080 by 120 to see the number of candles the company made, which is 34.

Mary has a new puppy. The puppy weighs 5 pounds and is 20% of it's adult weight. What would the puppy's adult weight be?

Answers

Answer:

The puppy's adult weight would be 25 lbs.

Step-by-step explanation:

5 / .20 = 25

To check:

25 x .20 = 5

I hope this helped you! If it did, please consider rating, pressing thanks, and marking as Brainliest. Have a great day! :)

Which theorem is used here
SAS
ASA
AAS
SAS
HL​

Answers

Answer:

ASA i believe

Step-by-step explanation:

there are two angles that are equal then two sides then vertical angles

How can I solve this?

Answers

Answer:

? = 130°

Step-by-step explanation:

The sum of all angles inside a triangle is always 180°.

180 - 20 - 30 = 130°

130° is vertical to the ?, therefore, the ? = 130°

hope this helps :)

Let’s think about another type of scenario. What if you were told that a bracelet requires 10 beads and 10 minutes to make while a necklace requires 20 beads and takes 40 minutes to make. The craftsman has 1000 beads to work with and he has 1600 minutes in which to work. If a bracelet costs $5 and a necklace costs $7.50, what is the maximum revenue that the craftsman can take in?


There are four inequalities in this situation. Let b be the number of bracelets made and n be the number of necklaces made. The system of inequalities for this situation is:

Answers

Hi, your question appears to be unclear. However, I inferred this to be a linear programming problem.

Answer:

$500

Step-by-step explanation:

To begin we need to state the system of inequalities for this situation (constraints):

For the number of available beads:  [tex]10b + 20n \leq 1000[/tex] where b represents the number of bracelets made, and n represents the number of necklaces made.For the available time to make the jewelry: [tex]10b+40n\leq 1600[/tex][tex]b\geq 0[/tex][tex]n\geq 0[/tex]

From the question, we note we are required to find the maximum revenue that the craftsman can take in. In other words, the optimization equation is [tex]5b+7.5n[/tex] = maximum revenue (taking note that a bracelet costs $5 and a necklace costs $7.50)

Next, we are to plot the inequalities on a graph to determine the feasible region: Doing so should give us these main vertices: (0,0) (0,40) (40,30 (100,0).

By substituting the vertices into the optimization equation (replacing b, and n) we can determine which quantity gives the maximum revenue:

For (0,40) ⇒ 5(0) + 7.5(0) = $0

For (0,40) ⇒ 5(0) + 7.5 (40) = $300

For (40, 30) ⇒ 5(40) + 7.5 (30) = $425

For (100, 0) 5(100)+7.50(0) = $500

We notice that at point  (100, 0) we have a maximum revenue of $500.

CAN SOMEONE PLEASE HELP ME

Answers

Answer:

what are the answers

Step-by-step explanation:

Answer:

dialation of 3

Step-by-step explanation: it gets 3x bigger

what is the size of the matrix resulting from [4 -1 0]×[2 1 0]​

Answers

It would be 1 by 3

Since [4 -1 0] and [2 1 0] are both 1 by 3, the result should be the same since they match up.

also im learning the same thing right now lol

It is currently 0 degrees outside and the temperature is dropping 4 degrees every hour. The temperature after h hours is -4h. Explain what the equation -4h = -14 represents.
_______________
What value of “h” makes this equation true?
_______________

Answers

Answer:

-4x3.5=-14

Step-by-step explanation:

divide -14 by -4 wich = 3.5

- 4x3.5= - 14

Explanation : if you divide - 14 with - 4 it equals to 3.5
Sorry if I get this wrong

Is this correct, i did 21.5 times 33.6 and converted it to yards to the nearest tenth and i got 80.3

Answers

Answer:

Thats what i got too :)

Step-by-step explanation:

You have the correct answer. It is 80.3 square yards.

Work Shown:

Area of parallelogram = length*width = 21.5*33.6 = 722.4 sq ft

1 yard = 3 ft

1 sq yd = 9 sq ft ... square both sides

To convert from square feet to square yards, we'll divide by 9

This is the same as multiplying by 1/9

722.4 sq ft = (722.4 sq ft)*(1 sq yd/9 sq ft)

722.4 sq ft = (722.4)*(1/9) sq yards

722.4 sq ft = 80.2667 sq yards

722.4 sq ft = 80.3 sq yards

Which rate has the same unit rate as 126 miles in 9 hours.
would it be
a 96miles in 6 hours
b 42 miles in 3 hours
c 80 miles in 5 hours
d 112 miles in 7 hours

Answers

Answer: THE ANSWER IS C

Step-by-step explanation:

Which of the following is the value of expression 3y+5(x-8) when x=11 and y=2

Answers

Answer:

y=2

Step-by-step explanation:

that is it!!! I hope I'm correct..

Answer:

21

Step-by-step explanation:

Given

3y + 5(x - 8) ← substitute x = 11, y = 2 into the expression

= 3(2) + 5(11 - 8) ← evaluate parenthesis

= 6 + 5 × 3

= 6 + 15

= 21

Find the new price for the markdown. Round to the nearest cent if necessary. $12.99 marked down 25%

Answers

$9.74

I like to do these equations backwards and multiply the first number by the opposite of it. ( think 1- the percent as a decimal) however, you can do this by converting the percent into a decimal and then subtracting that from the original number.

Have a great day!

En un grupo de 51 alumnos se realizo una votación para elegir al jefe de grupo entre tres candidatos: Cesar, Karina y Sebastián, los cuales no podrán participar en la votación se sabe que Sebastián obtuvo la mitad de votos que obtuvo Cesar y Karina obtuvo 8 votos menos que él. Si hubo 6 abstenciones. ¿Cuántos votos obtuvo cada uno de ellos?.

Answers

Answer:

25 cesar 4.5 karina 12.5 sebastian

Step by step explanation:

42.

25

12.5

4.5

Step-by-step explanation:

What additional information is required in order to know what triangles are congruent

Answers

It would answer letter c. Can I have a brain list

15 is 1 1/2% of what number

Answers

Answer:

the answer is 23.

Step-by-step explanation: 20/15=1.5333333333......=1  1/2

The number is given by equation A = 1000

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 number be represented as A

Now , the equation will be

15 is 1 1/2 % of the number A

Substituting the values in the equation , we get

15 = 1.5 % of A

On simplifying the equation , we get

15 = ( 1.5 / 100 ) x A

Multiply by 100 on both sides of the equation , we get

1.5A = 1500

Divide by 1.5 on both sides of the equation , we get

A = 1500/1.5

A = 1000

Therefore , the value of A is 1000

Hence , the number is 1000

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Find the 22nd term of the arithmetic sequence whose common difference is d=4 and whose first term is a, = 3 PLEASE HELP! :(

Answers

Answer:

22nd term is 81

Step-by-step explanation:

In order to find the answer to this question you have to realize that the common difference is the rule the arithmetic sequence goes by, so all you have to do is add four to three, twenty two times or multiply the first term by

[tex]a =3[/tex]

[tex]d=4[/tex]

[tex]3+4=7+4=11+4=15+4=19+4=23+4=27+4=31+4=35+4=39+4=33+4=37+4=41+4=45+4=49+4=53+4=57+4=61+4=65+4=69+4=73+4=77+4=81[/tex]

[tex]a=81[/tex]

Hope this helps.

Which graph shows a function where f(2) = 4?

Answers

Answer:the graph should look like this

Step-by-step explanation:

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