The function for the cost of materials to make a shirt is f(x) = five sixths x + 5, where x is the number of shirts. The function for the selling price of those shirts is g(f(x)), where g(x) = 5x + 6. Find the selling price of 18 shirts. (A. 106; B. 120; C. 185; D. 196)

Answers

Answer 1
Answer:

Answer:

A. 106

Step-by-step explanation:

Given function that represents the cost of materials to make x shirts,

f(x) =(5)/(6)x+5----(1)

Also, the function for the selling price of x shirts,

g(f(x))

Where, g(x)=5x+6---(2)

From equation (1),

g(f(x))=g((5)/(6)x+5)

=5((5)/(6)x+5)+6

=(25)/(6)x+25+6  ( From equation (2) )

=(25)/(6)x+31

For 18 shirts, i.e. x = 18

The selling price would be,

g(f(18))=(25)/(6)* 18+31=75+31=106

Option 'A' is correct.


Related Questions

Monica earned twice as much as Samuel mowing lawns. if Monica earned $48, how much did Samuel earn
A tile factory earns money by a flat fee for delivery and sales price per tile sold. For one customer the tile factory shipped 10,000 units of retail stores at the rate of $0.25 Per tile. The total tile factory earned from that sale was 3000 which of the following equation describes the revenue of the tile from this sale in terms of tiles Sold? A) y=0.25x+10,000B) y=0.25x+3,000C) y=0.25x+500D) y=0.25x+0.25
Y=2x squared +4x-1 . help me
Shalah mowed 12 lawns in 3 hours. What is her RATE? *help me plz
Complete the equation of the line through (-8,8)(−8,8)left parenthesis, minus, 8, comma, 8, right parenthesis and (1,-10)(1,−10)left parenthesis, 1, comma, minus, 10, right parenthesis.

What is the y-intercept of the graph of y= -4x^2+8x-3?
-3
2
1
-4

Answers

Hello,

-4x²+8x-3=0
==>4x²-8x+3=0
Δ=8²-4*3*4=64-48=16
==>(x=(8-4)/2=2) or (x=(8+4)/2=6)

Answer B: 2

If p and q are non-zero rational numbers, and s and t are irrational numbers, select all of the statements that are always false.answer choices are
The product pq is irrational.


The product pt is irrational.


The quotient pq is irrational.


The product st is irrational.


The quotient st is rational.

Answers

The false statements are:

The product pq is irrational.

The quotient pq is irrational.

The quotient st is rational.

A rational number is a number can be expressed as a fraction of two whole numbers. While, an irrational number is a number that cannot be expressed as the fraction of two whole numbers.

Examples of rational numbers are: 6, 2,3

Examples of irrational numbers are: √2, √3

Let p and q be represented with 2 and 6 respectively.

The product of 2 and 3 = 2 x 6 = . The number is a rational number

Let p and t be represented with 2 and √2 respectively.

The product of 2 and √2 = 2 x√2 = 2√2. The product is irrational

The quotient of pq = 6 /2 = 3.

The quotient is rational.

Let s and t be represented with √2, √3. The product is √2 x √3 = √6. The product is irrational.

The quotient of s and t = √2 /√3.

The number is irrational.

To learn more about rational numbers, please check: brainly.com/question/15815501?referrer=searchResults

Answer:

The false choices are A, C, and E

Step-by-step explanation:

Let's make an example:

p=1

q=2

s=sqrt(3)

t=sqrt(6)

Since pq=1*2=2, the answer is rational and A is false.

Since pt=1*sqrt(6)=sqrt(6), the answer is irrational and B is true.

Since p/q=1/2=0.5, the answer is rational and C is false.

Since st=sqrt(3)*sqrt(6)=sqrt(18), the answer is irrational and D is true.

Since s/t=sqrt(3)/sqrt(6)=sqrt(1/2), the answer is irrational and E is false.

Alex is feeling stressed this morning. He did not get enough sleep because a dog barked most of the night. The dog barked from 11;41p.m. until 12:09 a.m.Then it started barking again at 3:35 a.m. and didn’t stop until 4:10 a.m.How long did the dog bark in all?

Answers

Answer:

Poor Alex, I know how they feel, I got a dog myself.

The amount of time between

11:41 pm to 12:09 am is

19 minutes (to 12 am, 60 minutes to next hour) + 9

which is 28 minutes for the first dog barking session

the second time is 35 minutes,

using same method as before.

adding the two separte barking sessions we get

35+28= 63 minutes

which is equivelant to 1 hour and 3 minutes.

In conclusion the dog barks for 1 hour and 3 minutes in total.

Solve and verify each of the following of linear eequations

2X+3y=432 and 5x-2y=16

Answers

There are 3 available methods- Substitution , Elimination and Matrix. 

To solve this 
linear equations lets use Matrix's.  

\left[\begin{array}{ccc}2&3&432\n5&-2&16\n\end{array}\right] 

\left[\begin{array}{ccc}2&3&432\n0&-19/2&-1064\n\end{array}\right] 

\left[\begin{array}{ccc}2&3&432\n0&1&112\n\end{array}\right] 

\left[\begin{array}{ccc}2&0&96\n0&1&112\n\end{array}\right]  

\left[\begin{array}{ccc}1&0&48\n0&1&112\n\end{array}\right] 

x=48 

y=112
2x+3y=432 becomes y=-2/3x+144 and 5x-2y=16 which becomes y=5/2x-8

Which function is quadratic function? a(x) = –2x^3 + 2x – 6 b(x) = 5x^3 + 8x^2 + 3 c(x) = –8x^2 + 3x – 5 d(x) = 6x^4 + 2x – 3

Answers

Answer:

c(x) = –8x^2 + 3x – 5 is a quadratic function.

Step-by-step explanation:

At first, we will define what a quadratic function is.

A quadratic function is a polynomial with one or more variables with degree 2.

So, from the given functions

a(x) = -2x^3+ 2x – 6 has highest degree 3. So it is not a quadratic function.

b(x)=5x^3 + 8x^2 + 3 has highest degree 3. So it is not a quadratic function.

c(x) = –8x^2 + 3x – 5 has highest degree 2. So it is a quadratic function.

d(x) = 6x^4 + 2x – 3 has highest degree 4. So it is not a quadratic function.

Answer:

Step-by-step explanation:

If a translation of T-3,-8 (x,y) is applied to square ABCD, what is the y-coordinate of B'?-12

-8

-6

-2

Answers

Answer:

  -6

Step-by-step explanation:

The y-coordinate of B is 2. Adding -8 to it makes the y-coordinate of B' be -6.

  2 -8 = -6

Answer:

-6

Step-by-step explanation:

The given translation is

T_(-3,-8) (x,y)

Which means that the original figure will be moved 3 units to the right and 8 units downwards.

Remember, when it comes to translations, when we subtract units to x that means the figure will be moved rightwards. And if we subtract units from y, that means the figure will be moved downwards.

So, the original figure has as vertex B(1,2). If we apply the transformation to its vertical cordinate y=2, we would have

y'=2-8=-6

Therefore, the right answer is the third choice -6.

Other Questions
We're no strangers to loveYou know the rules and so do IA full commitment's what I'm thinking ofYou wouldn't get this from any other guyI just wanna tell you how I'm feelingGotta make you understandNever gonna give you upNever gonna let you downNever gonna run around and desert youNever gonna make you cryNever gonna say goodbyeNever gonna tell a lie and hurt youWe've known each other for so longYour heart's been aching but you're too shy to say itInside we both know what's been going onWe know the game and we're gonna play itAnd if you ask me how I'm feelingDon't tell me you're too blind to seeNever gonna give you upNever gonna let you downNever gonna run around and desert youNever gonna make you cryNever gonna say goodbyeNever gonna tell a lie and hurt youNever gonna give you upNever gonna let you downNever gonna run around and desert youNever gonna make you cryNever gonna say goodbyeNever gonna tell a lie and hurt youNever gonna give, never gonna give(Give you up)(Ooh) Never gonna give, never gonna give(Give you up)We've known each other for so longYour heart's been aching but you're too shy to say itInside we both know what's been going onWe know the game and we're gonna play itI just wanna tell you how I'm feelingGotta make you understandNever gonna give you upNever gonna let you downNever gonna run around and desert youNever gonna make you cryNever gonna say goodbyeNever gonna tell a lie and hurt youNever gonna give you upNever gonna let you downNever gonna run around and desert youNever gonna make you cryNever gonna say goodbyeNever gonna tell a lie and hurt youNever gonna give you upNever gonna let you downNever gonna run around and desert youNever gonna make you cry