. Consider the following standards.
MAFS.912.F-BF.1.1b: Combine standard function types using arithmetic operation. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model. MAFS.912.F-BF.1.1c: Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.
Part A: Describe the difference in combining functions and composing functions.
Part B: Give a real-world example of combining functions.
Part C: Give a real-world example of composing functions.

Answers

Answer 1

Part A:

A combined function is defined by combining with existing functions using addition, subtraction, multiplication or division.

A composite function is created by plugging one function into another.

Part B:

The class is selling sweaters an. the cost of each sweater is 8 dollars. There is a fee to create the design. The class plans to sell the sweaters for 12 dollars.

Part C:

Amy works at a baked goods store. She receivers a weekly salary of 350 dollars and is payed 3 percent commission on weekly sales over 1,500 dollars.

oof that took a while lol


Related Questions

Can somebody answer quick please!

Answers

Answer:27/2

Step-by-step explanation: The ratio stays the same. So 4/6 = 9/x. Solve that and get 27/2

Answer: 18 in.

Step-by-step explanation:

Help me please......

Answers

Answer:

Approx. 73°

Step-by-step explanation:

please help, my time is running out

Answers

Answer: 40 ?

Step-by-step explanation:

m to the power of 4 =
when m is 2/3
plz help me

Answers

Answer:

WAIT I MESSED UP DONT ANSWER THAT

Step-by-step explanation:

Answer:

[tex]\frac{16}{81}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} ^{4} = \frac{16}{81}[/tex]  

I hope this helps!

Tell whether the lines through the given points are parallel, perpendicular or neither. You must have a work that supports your answer

Answers

I think it’s perpendicular, I tried to do a quick drawing, sorry if it’s not perfect ☹️

how to turn a fraction into a decimal, help

Answers

A fraction is really just another way to write a division problem without dividing. So all you have to do is divide, then round to whichever decimal place your teacher wants.

The Pie Arsquare Bakery sold 869 pies during the month of January. What was the mean number of pies sold per day? (Hint: how many days are in January) Round to the nearest tenths. ​

Answers

Answer:

28

Step-by-step explanation:

divide 869 by the number of days in January

If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof

Answers

Answer: 35.4 feet.

Step-by-step explanation:

Given data:

Height of the roof = 24 feet

Height of the ladder = 26 foot

Solution:

c^2 = a^2 + b^2

a = 24

b = 26

c^2 = 24^2 + 26^2

c = √576 + 676

c = √1252

c = 35.4 feet

The foot of the ladder is 35.4 foot away from the top of the ladder.

Answer:

The distance between the base of the ladder and the building is 10 ft

Step-by-step explanation:

Here, we want to calculate the distance between the foot of the ladder and the building

To get this, we need to have a pictorial representation. Please check the attachment for this

From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.

Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.

Let the distance we are looking for be D

26^2 = 24^2 + D^2

D^2 = 26^2 - 24^2

D^2 = 100

D^2 = 10^2

D = 10 feet

ANSWER RN IM GOING TO FAIL MY PRE-K TESTTTTT


What does definition mean???

Answers

Answer:

a statement of the exact meaning of a word, especially in a dictionary

I give Brainliest!
Determine whether the following statements are sometimes, always or never true.
Equilateral triangles are also right triangles.
All angles of an equilateral triangle are congruent.

Answers

Answer: Equilateral triangles are also right triangles sometimes. All angles of an equilateral are congruet sometimes.

HELP WITH THESE TWO ASAP

Answers

WHAT DOES F EQUAL????

True or False? The blue radius is perpendicular to the green chord.

Answers

The statement that the blue radius is perpendicular to the green cord is false

From the complete question,

The blue radius does not bisect the green chord

This means that the blue radius and the green chord do not meet at 90 degrees

Since both lines do not meet at 90 degrees, then they are not perpendicular

Hence, the statement that the blue radius is perpendicular to the green cord is false

Read more about radius and chords at:

https://brainly.com/question/1869643

Yoko is putting money into a savings account. She starts with $350 in the savings account, and each week she adds $40.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Yoko has been adding money. Write an
equation relating S to W. Then use this equation to find the total amount of money in the savings account after 18 weeks.

Answers

Answer:

s=40w+350; s=$1,070

Step-by-step explanation:

Our equation looks like this:

s=40w+350

Next we plug in 18 for w, our number of weeks.

s=40(18)+350

Multiply the 40 and 18.

s=720+350

Add the 350 and 720.

s=1,070

Add a dollar sign to say that the amount is in dollars.

s=$1,070

HTH :)

The equation relating the total amount of money in the savings account, S and the number of weeks Yoko has been adding the money, W is given by S = 350 + 40W.

Total amount of money in the savings account after 18 weeks is

What is an Equation?

An equation is a statement in mathematics which includes two algebraic expressions or numbers relating with an equal sign.

There are left hand side and right hand side for every equation and may or may not include variables.

S is the total amount of money in the savings account of Yoko.

W is the number of weeks Yoko has been adding money.

Initial money = 350

After 1 week total money = 350 + (1 × 40)

After 2 weeks, total money = 350 + (2 × 40)

It goes on like this until the last week.

So after W weeks total money = 350 + (W × 40)

Total amount of money in the savings account after W weeks, S = 350 + 40W.

After 18 weeks, S = 350 = (40 × 18) = $1070

Hence the equation relating W and S is, S = 350 + 40W.

Total amount of money after 18 weeks = $1070

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The sum of two integers is 5. Their difference is 11. What are
the two integers?
A 3 and 14
B
-3 and 8
C 2 and 3
D -14 and -3

Answers

answer: B
-3+8=5
3+8=11

GEOMETRY HELP PLEASEEEEEEEEEE
Lesson 5-1 Exploring What Makes Triangles Congruent Practice and Problem Solving: A/B

Answers

1.Z~ Q
2.YZ~PQ
3.P~Y
4.X~N
5.NQ~XZ
6.PN~YX

Similar triangles may or may not be congruent.

The corresponding parts of XYZ and NPQ are: [tex]\mathbf{Z \cong Q}[/tex] ,   [tex]\mathbf{YZ \cong PQ}[/tex]   ,  [tex]\mathbf{X \cong N}[/tex]   ,  [tex]\mathbf{NQ \cong XQ}[/tex]  , [tex]\mathbf{PN \cong YX}[/tex].The unknown values are: [tex]\mathbf{y = 18}[/tex] , [tex]\mathbf{z = 12}[/tex]   , [tex]\mathbf{L = 60}[/tex] , [tex]\mathbf{C = 60}[/tex], [tex]\mathbf{AC = 24}[/tex].The congruent parts are: KL and RQ,  KJ and RS, QS and LJ

Question 1 to 6:

Triangles XYZ and NPQ are similar triangles.

This means that:

Angles Z and Q, lines YZ and PQ, angles P and Y, angles X and N, lines NQ and XZ, lines PN and YX are corresponding sides and angles

Question 7 to 12:

Triangles LMN and CBA are similar triangles.

This means that:

[tex]\mathbf{7z+6 = 5y}[/tex]

[tex]\mathbf{2y-12 = z + 12}[/tex]

Collect like terms

[tex]\mathbf{2y= z + 12+12}[/tex]

[tex]\mathbf{2y= z + 24}[/tex]

Make z the subject

[tex]\mathbf{z = 2y -24}[/tex]

Substitute [tex]\mathbf{z = 2y -24}[/tex] in [tex]\mathbf{7z+6 = 5y}[/tex]

[tex]\mathbf{7(2y -24) + 6 = 5y}[/tex]

[tex]\mathbf{14y -168 + 6 = 5y}[/tex]

[tex]\mathbf{14y -162 = 5y}[/tex]

Collect like terms

[tex]\mathbf{14y -5y = 162}[/tex]

[tex]\mathbf{9y = 162}[/tex]

Divide both sides by 9

[tex]\mathbf{y = 18}[/tex]

Recall that: [tex]\mathbf{z = 2y -24}[/tex]

[tex]\mathbf{z = 2 \times 18 - 24}[/tex]

[tex]\mathbf{z = 12}[/tex]

[tex]\mathbf{L = 60}[/tex]

[tex]\mathbf{LN = 2y - 12}[/tex]

[tex]\mathbf{LN = 2 \times 18 - 12}[/tex]

[tex]\mathbf{LN = 24}[/tex]

[tex]\mathbf{C = L}[/tex]

[tex]\mathbf{C = 60}[/tex]

[tex]\mathbf{AC = LN}[/tex]

[tex]\mathbf{AC = 24}[/tex]

Question 13:

The congruent parts are: KL and RQ,  KJ and RS, QS and LJ

Read more about congruent and similar triangles at:

https://brainly.com/question/19589236

In triangle TRS, TZ = (3x) inches and WZ = (2x - 3) inches. Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U. [Figure may not be drawn to scale] What is WZ? 6 inches 9 inches 18 inches 27 inches

Answers

Answer:

it is 9

Step-by-step explanation:

The value of WZ will be equal to WZ= 9 inches so the correct option is B.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

We have: U is the midpoint of TR, V is the midpoint of TS and W is the midpoint of SR

This means that.Z is the centroid of the given triangle centroid point divides any median in the triangle in the ratio of 2:1 from the vertex

This means that:

TZ = 2ZW

3x = 2(2x-3)

3x = 4x - 6

x = 6

Now, we get WZ as follows:

WZ = 2x - 3 and x = 6

WZ = 2(6) - 3

WZ = 12 - 3

WZ = 9 in

Therefore the value of WZ will be equal to WZ= 9 inches so the correct option is B.

The complete image of the triangle is attached with the answer below.

To know more about Trigonometry follow

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A school wants to buy a chalkboard that measures 3 feet by 4 feet the chalkboard cost $6.14 per square foot. How much will the chalkboard cost

Answers

Answer:

$49.12

Step-by-step explanation:

Item 8
POSSIBLE POINTS: 11.11
In math class, the teacher asked students to randomly select a card and roll a number cube. There were 6 yellow cards, 4 blue, 8 red and 7 green cards. The number cube was numbered 1 through 6. What was the probability of choosing a green card and rolling an odd number?


14%

24%

48%

36%

Answers

Answer:

24% is the answer

Step-by-step explanation:

Find the value of x for which d ||m.

Answers

Answer:

29

Step-by-step explanation:

Does the system have a no solution or infinitely many solutions
Y=2/3x+2-2x+3y=6

Answers

Answer:

answer for y=2/3x+2: y=2/3x+2

answer for -2x+3y=6: x=3/2y-3

pls give brainliest

Answer:

There are infinitely many solutions.

Step-by-step explanation:

There are infinitely many solutions because if you solve the equations, you will find that both of the equations are actually the same, so there is infinitely many solutions.

Showing that both equations are equal:  y=2/3x+2       -2x+3y=6

y=2/3x+2  Multiply by 3 on both sides

3y=2x+6 Rearrange (-2x on both sides)

3y-2x=6 More rearrangement

-2x+3y=6 Now, if you look back at the second equation, you will see that they are both the same.

                     

2 (4x-2)- 5x=-18
HELP!!

Answers

i think it’s x= -14/3

Answer:

x = -14/3

Step-by-step explanation:

2 (4x-2) - 5x = -18

8x - 4 - 5x = -18

8x - 5x = -18 + 4

3x = -14

x = -14/3

I'm not sure if this is what you were asking for but, ya..

What is the the slope of the line through the following points?(7,-4) and (3,8)
3
-3
1
o 1

Answers

Answer:

-3

Step-by-step explanation:


Write the equation of the line that passes through (-3, -20) and (1,4).

Answers

Answer:

y=6x-2

Step-by-step explanation:

The equation of the line is y=mx+b

FINDING SLOPE: To find the slope of a given line use the equation [tex]\frac{y2-y1}{x2-x1}[/tex]

So x1=-3, y1=-20 and x2=1, y2=4

Plug those numbers into the equation: [tex]\frac{4-(-20)}{1-(-3)}[/tex]  and we get the slope which is 6.

FINDING Y-INTERCEPT: Then we find the y intercept by plugging in our points (you can choose) I will use (1,4) and solve.

y=6x+b

4=6(1)+b

b=-2

what is the slope intercept formula​

Answers

Answer:

y=mx+b

Step-by-step explanation:

Answer:

y=mx+b

Explanation:

The slope-intercept formula is y=mx+b. The b represents the y-intercept, which is the point where a line on a graph meets the y-axis. The coordinates for this would be (0,b). The m represents the slope, which is the rate of change. The x represents any x variable that you plug in. The y represents the y variable.

What is 6.5% of 39.99?

Answers

39.99 * 0.065 = 2.599
It would be around 2.6

MARY is making pillows for her new office. She bought 2 1/2 yards of fabric. Her
total cost was $17. What was the cost per yard?

HELP ME PLZ

Answers

17 / 2.5 = 6.80 a yard

POSSIBLE POINTS: 28.57
The flight path of a volleyball is modeled by the equation h (x) = -0.034x2 + 1.3z +5.5, where h(x) is the height of the volleyball and x is the
horizontal distance measured in feet from where the ball was hit. Determine the maximum height of the volleyball
O 19.118 feet
O 18.344 feet
O 17 926 feet
O 16.982 feet
O 15.004 feet
O 14.621 feet
O 13.955 feet
<
1 2 3
4
5
6
ET Review

Answers

18.344 should be right. Have a good day!

what is the equation of the line that passes through the point (4,-5) and is parallel to the line y=1/2x+5

Answers

Answer:

y=1/2x - 7

Step-by-step explanation:

Since the lines are parallel, this means that the slopes will be the same, only the y-intercept will change. I graphed this out to find the answer.  

Determine the GCF of 18xy and 12xy

Answers

Answer:

If im correct im pretty sure its 6xy

The GCF of 18xy and 12xy is 6xy.

What is Greatest Common Factor?

The largest factor that splits both numbers is said to be the greatest common factor. List the prime factors of each integer before calculating the greatest common factor.

18 and 24 share one 2 and one 3 in common.

, so 2 x 3 = 6 is the GCF of 18 and 24.

Given:

18xy and 12xy

now, factoring the above terms

18xy = 2 × 3 × 3 × x × y

12xy= 2 × 2 × 3 × x × y

So, 18xy & 12xy = 2 x 3 xy = 6xy

hence, the GCF of 18xy and 12xy is 6xy.

Learn mor about GCF here:

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Don’t know answer help!!!

Answers

Answer:

Step-by-step explanation:

AA

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