Mathematics Middle School

PLEASE HELP URGENT
Suppose that the functions r and s are defined for all real numbers x as follows.
r(x) = x + 5
s(x) = 3x + 1
Write the expressions for (r * s)(x) and (r + s)(x) and (r - s)(4) evaluate .

Answers

Answer 1

Answer:r*s = 168

Step-by-step explanation: (2x-1)(6x) = 12 x^2 - 6x

r(s(x)) = 2 (6x) - 1 = 12 x - 1

r(x) - s(x) = (2x-1) - 6x = -4x -1

r(x) = s(x) when 2x-1 = 6x or x = -1/4

r(4) = s(4) never

(r*s)(4) = 12 x^2 - 6 x = 12*16 - 24 =168

Related Questions

HI!! I am not sure if I got the right answer and would love someone help! Q: Jane is joining a Gym. At maria's Gym she has to pay a membership fee of $25 and a monthly fee of $50. At George"s Gym she has to pay $25 per month plus a membership fee of $100. Write An Equation and solve to determine at how many months the cost of the two gyms will be the same?" My equation was 25+50m=25m+100 and a answer of M=3

Answers

yes that is correct






have a great day /night

You are parasailing for the first time. The rope that connects you to the boat is 38 feet long. The distance along the water between the boat and you is 22 feet. About how high above the water are you?

You are parasailing for the first time. The rope that connects you to the boat is 38 feet long. The distance

Answers

Answer:

About 30.98386677 ft above the water.

Step-by-step explanation:

Use pythagorean theorem, a^2+b^2=c^2.

So when you plug in the numbers it would be x^2+22^2=38^2. Move 22^2 to the right side giving you x^2=38^2-22^2. Then subtract and take the square root of x^2.

PLEASE HELP ME!
How can I figure out the length of the short leg on a 30-60-90 right triangle without measuring it. And how can I determine the hypotenuse of the same triangle without measuring it.

Answers

Divide the long leg by the square root of 3 to find the short leg. Double that figure to find the hypotenuse.

I NEED THIS NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
For each of the figures, write Absolute Value equation in the form

|x−c=d|, where c and d are some numbers, to satisfy the given solutions:

I NEED THIS NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!For each of the figures, write Absolute Value

Answers

point c is at -4 and point d is at -8
C is -4 and D is -8 where c and d r some numbers!

Ashley buys a hamster wheel during the sale(25% off)
. If Ashley pays $6, what was the original price?

Answers

Answer:

$8

Was the original price.

Step-by-step explanation:

100% - 25% = 75%

$6 ⇒ 75%

$A ⇒ 100%

A = $6* 100% / 75%

A = 8

8$ is the answer for your question

yesssssirrrrrrrrrrrrrrrrrrrrrrrrr

yesssssirrrrrrrrrrrrrrrrrrrrrrrrr

Answers

minimum: 27
lower : 30.5
median: 38.5
upper: 44
maximum 52

Please Help ASAP!!!
What is the correct expanded form and value of (One-fifth) Superscript 4?
One-fifth + one-fifth + one-fifth + one-fifth = StartFraction 4 Over 5 EndFraction
One-fifth times one-fifth times one-fifth times one-fifth = StartFraction 1 Over 625 EndFraction
StartFraction 1 + 1 + 1 + 1 Over 5 times 4 EndFraction = StartFraction 4 Over 20 EndFraction
One-fifth times 4 = StartFraction 4 Over 5 EndFraction

Answers

Answer:

One-fifth times one-fifth times one-fifth times one-fifth = StartFraction 1 Over 625 EndFraction

Step-by-step explanation:

1/5^4 = 1/5 * 1/5 * 1/5 *1/5 = 1/625

The expanded form of (One-fifth)⁴ is "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction," and its value is "StartFraction 1 Over 625 EndFraction."

              The expanded form of (One-fifth)⁴ can be derived by multiplying (1/5) four times. Each multiplication represents multiplying by one-fifth, resulting in "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction." This can be further simplified as "StartFraction 1 Over 625 EndFraction" by multiplying the numerators and the denominators separately.

              In mathematical terms, when we raise one-fifth to the power of 4, we are essentially multiplying one-fifth by itself four times. Thus, (One-fifth)⁴ is equal to "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction."

            Evaluating this expression yields the value "StartFraction 1 Over 625 EndFraction" since multiplying the numerators (1 * 1 * 1 * 1) and the denominators (5 * 5 * 5 * 5) results in 1 and 625, respectively.

           Mathematical representation:  \(\frac{1}{5}^4= \frac{1}{5} * \frac{1}{5} * \frac{1}{5} * \frac{1}{5}\)

To learn more about expanded form,

https://brainly.com/question/102887

y=3x+14
2x-3y=-14
Substitution method

Answers

X= 14
Y= -45

2x-3y=-14
y=3x+14

the correct answer should be y=3x+14

Please whoever knows they can solve this, help!

I have attached the question down below. Please explain in detail and diagrams if the question permits you to do so. Thank you. I will also be marking the brainiest.

Answers

I can’t see the question I think you forgot to upload it
explanation:

Answer:Can't see the question

Step-by-step explanation:

Imagine below explains, please help! This is my last question on my homework.

Imagine below explains, please help! This is my last question on my homework.

Answers

2 ⇒ 1

3 ⇒ 3

4 ⇒ 2

5 ⇒ 1

6 ⇒ 3

7 ⇒ 5

8 ⇒ 2

9 ⇒ 4

10 ⇒ 0

11 ⇒ 2

12 ⇒ 2


Hope my answer helps you✌️

Mark BRAINLIEST

1, 3, 2, 1, 3, 5, 2, 4, 0, 2, 2,

A map of your town has a scale of 1 inch to 0.25 miles. There are two roads that are 5 inches apart on the map. What is the actual distance between the two roads?

Answers

Answer:

1.25 miles

Step-by-step explanation:

The librarian at Lee middle school is gathering data on the number of pages students can read in 30 minutes. The dot plots
show the numbers of pages read by the two groups.


Please help ASAP will give brainliest

The librarian at Lee middle school is gathering data on the number of pages students can read in 30 minutes.

Answers

Answer: 1 st and 3rd ones

Step-by-step explanation:

A drug trial had 244 participants. A survey was done to gather information about the participants' experiences with side effects. The table below gives the results for two possible side effects. Construct a Venn diagram illustrating these results. Then answer the questions. Step by step explanation would be appreciated.

A drug trial had 244 participants. A survey was done to gather information about the participants' experiences

Answers

Answer: 173 participants had anxiety, 65 participants had drowsiness and 48 participants had both

Step-by-step explanation: Because you gotta look at the table where it says that the participants had

help fast!!! (gives extra points)

help fast!!! (gives extra points)

Answers

I think it would be 5x+3 since if x is one person they would all pay $5 and then they’d pay $3 once for the wagon

PLZ PLZ NEED HELP ASAP DUE IN 6mins!!!!

PLZ PLZ NEED HELP ASAP DUE IN 6mins!!!!

Answers

Answer:

Betty goes first and the other one goes 3rd

Step-by-step explanation:

Answer:

I'm sorry if I wrong but im pretty sure the field trip one goes in the 3rd slot

New Era baseball cap factory made 315 caps last week the factory operated from Monday through Friday and they were closed for the weekend on average how many cats did they make per day. I hope someone can answer this for me cuz I am struggling on it cuz I do not know what to divide it by. Thanks

Answers

Answer:

63

Step-by-step explanation:

315÷5

This figure shows 3 intersecting lines.



What is the measure of ∠CGD ?

A
68°

B
82°

C
90°

D
98°

This figure shows 3 intersecting lines.What is the measure of CGD ?A 68B 82C 90D 98

Answers

The answer is b hope this hhelps los
D. 98°

measurement angle FGE is = angle BGC

if you add angle measurements of AGB and BGC, you get 82. (60+22)

then 180-82=98

CGD=98°

PLS help ujhbghjjgrtthh

PLS help ujhbghjjgrtthh

Answers

Answer:

x=12

Step-by-step explanation:

12+42=54

3✖️12=36

54+36=90

Answer:

12°

Step-by-step explanation:

First, the diagram shows 90° and it divided by the line. We need to find what is the value of x.

To find the value of x, we can write like this:

(x+42°)+3x=90°

Then, we need to find the same variable like x and collect the like terms.

4x+42°=90°

And move 42 to the right side and it becomes like this:

4x= 90°-42°

Divides both sides by 4

4x=48

x=12

That is the solution of you problem. I hope you will understand it.

Determine which expression is equivalent to the expression 5 over 4 times g minus 3 minus 7 over 12 times g minus the expression one over 3 times g plus 15

Answers

Answer:-4/15 - 17

negative 4 over 15 plus negative 17

Answer: -4/15 -17

Explain: negative 4 over 15 plus negative 17

Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111

Answers

Here are the pairs matched with their products:

- (-5)(4.2) matches with -21

- (-7)(-3) matches with 21

- (2.5)(-9) matches with -22.5

Pairs (4) and (5) do not have corresponding products in the given options.

The products of the given pairs of numbers are:

(-5)(4.2) = -21

(-7)(-3) = 21

(4)(5) = 20

(2.5)(-9) = -22.5

So, the pairs of numbers and their products are as follows:

(-5)(4.2) = -21 matches with -21.

(-7)(-3) = 21 matches with 21.

(4)(5) = 20 matches with 20.

(2.5)(-9) = -22.5 matches with -22.5.

I hope this helps!

Shelly is asked to put parentheses in the equation
14−8−5+6×2=23 so that it is true.

Choose the correct expression.

A. 14−8−(5+6)×2=23
B. 14−(8−5)+6×2=23
C. 14−8)−(5+6)×2=23
D. 14−(8−5+6)×2=23

Answers

Answer:

C)(14-8)-(5+6)×2=23

using bodmas

The answer is most likely c

The reading on a car’s speedometer may have an error up to 6.25%. The speed limit on a road is 65 miles per hour.

The speedometer shows 67 miles per hour.

Is the car definitely going over the speed limit?
Yes
No
Explain your thinking.

Answers

No.
The speed limit is 65. Accounting for a 6.25% error, then there is a range of speeds that could be considered 65.
The range:
65(0.9375) = 60.9375
65(1.0625) = 69.0625
So, any speed within that range is within the error zone. Therefore, a reading of 67 is not necessarily speeding.
I’m thinking no .....

A total of 24 students were asked how many game apps they have on their phones. Based on the data collected, which would be the best data display to show the results?

A. Circle graph
B. Histogram
C. Line graph

A total of 24 students were asked how many game apps they have on their phones. Based on the data collected,

Answers

C line graph, A line graph will show how many people have the same amount of apps but also keep record of how much one individual has
it would be C, line graph.

What steps would you take in order to solve the equation 1/2m + 61 = 39 ?

add 61 and multiply by 1/2
add 61 and multiply by 2
subtract 61 and multiply by 1/2
subtract 61 and multiply by 2

Answers

D. Subtract 61 and multiply by 2

Answer:

D. Subtract 61 and multiply by 2 to get your answer.

Step-by-step explanation:

Please help Im very confused

Please help Im very confused

Answers

Answer:

x = 58°

Step-by-step explanation:

x + 32 = 90°(right angle)

=> x = 58°

the answer is 58 degrees i did this question

The price of a video game was increased from $39 to $49. By what percentage was the price of the video game increased
20.4%
30%
25.6%
79.6%

Answers

Answer:

25.6%

Step-by-step explanation:

To find percentage increase, first find the price difference. After that, take the price difference divided by the original price, then times the whole thing by 100%. Feel free to clarify if you have any questions after looking at my solution!
The price of a video game was increased from $39 to $49. By what percentage was the price of the video

A teacher has a 2- gallon (32-cup) container juice. she gives each student 1/2 cup of juice. Which equation represents the amount of juice that remains, y, after x students are served?
A. y = 32x - 1/2
B. y = 1/2x - 32
C. y = -1/2x + 32
D. y = -32x + 1/2 ​

Answers

Answer: I think it's A. y = 32x - 1/2

The answer should be C. Hope this helps!

Rewrite the equation below so that it does not have fractions.

Rewrite the equation below so that it does not have fractions.

Answers

Answer:

Step-by-step explanation:

\(2-\frac{3}{4}x =\frac{2}{5}\\8-3x=\frac{8}{5}\\40-15x=8\)

I simply multiplied the equation on both sides by the denominators of each fraction to get whole numbers. You can also do this by multiplying by 20, since the product of the denominators is 20 and will guarantee to create a numerator that creates a fraction that is also a whole number.

20(3/4)=60/4=15

20(2/5)=40/5=8

20(2)=40

Answer:2-.75x=.40

Step-by-step explanation:

You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the​ box?
What is the decimal expansion for 12
2
3​?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me

Answers

Answer:

D is the right choice and no you cannot fit the pizza inside the box.

Step-by-step explanation:

D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.

Answer:

I believe the answer is D.

Step-by-step explanation:

GOOGLE

I would really appreciate some help, please!
The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:


What is the speed of the motorboat? (5 points)

Select one:
a. 198 miles per hour
b. 22 miles per hour
c. 44 miles per hour
d. 66 miles per hour

I would really appreciate some help, please!The graph shows the distance, y, in miles, of a moving motorboat

Answers

Answer: 66 miles per hour i belive

Step-by-step explanation: good luck

44 miles per hour is the answer because it skips by two and 22is one but two is 44
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