Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase under her bed, modeled by the function s(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two, and describe any simplification that can be done.

Answers

Answer 1

Answer:

Add both of the function together.

Step-by-step explanation:

s(x) + a(x) = 450 + 6(x - 2)

Answer 2

Answer:

1) The function that represents how the money in her suit case is s(x) = 450

The function that represents the amount she is able to make from baby sitting is a(x) = 6(x - 2)

Given that the values of the two function are the same units, dollars, and the amount are to be put to the same use for spending money for her first year of college, the combination of the two functions is the sum of their values given as follows;

f(x) = s(x) + a(x) = 450 + 6(x - 2)

2) For simplification, we expand the second term and add the constant terms as follows;

f(x) = 450 + 6·x - 12

f(x) = 450 + 6·x - 12

f(x) = 438 + 6·x

The sum of the two terms becomes, f(x) = 438 + 6·x


Related Questions

Identify the angles that each have a measure of 88°. ​

Answers

Answer:

vdnchdbcdbchdbnhdbnhvbdjvjdsvhdfnjvdjvjdv

Step-by-step explanation:

1, 3, and 8

8 is it’s corresponding angle. 1 is vertical to it and 3 corresponds with 1

A baker makes 36 cookies in 3 hours. At this rate,
how many cookies can the baker make in 9
hours?

HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

108 filler filler filler filler

Step-by-step explanation:

36*3

Answer:

108 cookies

Step-by-step explanation:

there are 36 cookies in 3 hours

9 divided by 3 is 3, so

36x3= 108 cookies

hope this helped

what is 20% of 60 in decimal example ​

Answers

Answer: 12

Step-by-step explanation: .2 * 60 = 12

Answer:  0.33333 (Rounded to fifth decimal place)

Step-by-step explanation:

Use the information given to enter an equation in standard form. Slope is 7, and (2,6) is on the line.
ASAP​

Answers

Answer:

7x - y = 8

Step-by-step explanation:

y - 6 = 7( x - 2 )

y = 7x - 8

7x - y = 8

Describe the translation of point
P(-6,2) to point P(-10,5) using coordination notation

Answers

Answer:

we can go over this ok

Step-by-step explanation:

Answer:

Answer

Step-by-step explanation:


1. Estimate the product. Solve using the standard algorithm. Use the thought bubbles to
show your thinking.
2.42 x 12 =

Answers

Answer:

The estimation of 2.42 x 12 is 24

Step-by-step explanation:

First, write out the problem,

2.42 x 12

Then simplify each whole number to the nearest tenth,

2.40 x 10

Finally, multiply and you have the answer

24.00

Answer:

29.04

242*12=2904 (show work using standard algo.)

Two numbers after the decimal with give you 29.04

Aaand that's your answer!

a rectangular window has a length of 81.47 cm and a width of 34.2 CM what is the least ​

Answers

The least precise measurement of the perimeter of the window is 231.30
Step-by-step explanation:
The least price measurement mean a value with the least number of significant figures.calculate the perimeter in this case as;
Perimeter of a rectangle = 2(l+w) where l is the length and w is the width
Perimeter= 2(81.47 + 34.2)
Perimeter=2(115.67)
Perimeter=231.34
Perimeter=231.30(4 significant figures)

2 T shirts
and 3 hats costs 12 pounds
5 T shirts and 4 hats cost 23 pound
Find the cost of a hat
Find the Cost
a T-shirt

Answers

the answer would be $3 :)

Solve this equation for y.
3x - 5y = 12

Answers

-5y=12-3x (subtract 3x from both sides)
y = - 12-3x/5 (divide both sides by -5)
y = - 3(4-x)/5 (common term is 3)

graph the line y=3x​

Answers

Answer:

[tex]X:9, 6, 3, 0, -1, -2, -3 \\ Y: 3, 2, 1, 0, -3, -6, -9[/tex]

Louise Bourgeois obtained a $3,200 installment loan for a marble floor in her foyer. The
annual percentage rate is 9%. She must repay the loan in 24 months. Find the (a) monthly
payment using the formula, (b) total amount repaid, and (c) the finance charge.

Answers

(a) 157.33 (b)3776.00 (c) 576.00

4. The binomial 12x+15 is equivalent to
(1) 2(6x +15)
(3) 6(6x+9)
(2) 5(12x+3)
(4) 3(4x+5)

Answers

Answer is (4) 3(4x+5)

how would i do this Divide. 3+5/2 ​

Answers

first you divide 5 by 2 which is 2.5, then you add 3
the final answer is 5.5

What is the base of the triangle if the area is 56 square meters and the height is 7 m?
A. 4 m
B. 8 m
c. 16m
D. 28 m

Answers

Answer:

the answer is b

Step-by-step explanation:

the answer is B 16 m

Identify and write the given and the prove of the following question. "Prove that if 4x+5=6, then x=3."

Answers

Answer:

x would have to be 1.5

Step by step solution:

Given: 4x + 5 = 6

Subtraction property of equality: 4x = 6

Division property of equality: x = 1.5

Finley and Cooper are wanting to go to SkyZone. Finley pays $53.75 for 5 hours. How much will Cooper pay for 3 hours?

Answers

Answer:

10.75 x 3 = $32.25

Step-by-step explanation:

first, we need to figure out how much the cost is for one hour:

53.75/5 = 10.75

therefore, the cost at skyzone for 1 hour is $10.75 , BUT, we still need to figure out the time for 3 hours.

so, 10.75 x 3 = $32.25

Answer: 32.25

Step-by-step explanation:

Determine the type and number of solutions of 3x2 + 6x + 4 = 0.

Answers

3x2 + 6x + 4 = 0

This is a quadratic equation in one variable and has two solutions.

what is the value of the expression 4 to the power of 4? ___​

Answers

Answer:

256

Step-by-step explanation:

multiply it 4time by itslef  so its like

4 time 4 times 4 times 4

I think

The value of the expression 4 to the power of 4 is 256.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The expression will be solved as below:-

The given expression is 4⁴. The expression can be written as:-

4⁴ = 4 x 4 x 4 x 4

Multiply the value 4 four times to get the solution for the expression.

4⁴ = 16 x 16

4⁴ = 256

Therefore, the value of the expression 4 to the power of 4 is 256.

To know more about expression follow

brainly.com/question/723406

#SPJ2

Drag the phrases into the box to match each expression.

Answers

You need to show a picture

Answer:

theres no image

Step-by-step explanation:

The table below represents a linear function. Determine the missing values in the table using the function rule.

Answers

Answer: In order: 25, 15, 67.

Step-by-step explanation:

In picture

please helppp!!!!!!!

Answers

Answer:

66

Step-by-step explanation:

do the ratios form a proportion? Explain how you arrived at your answer. 9/6 and 156/104​

Answers

9:6,9/6, 9x6 156/104 , 156:104 , 156x104 because there the same thing but different signs

In one particular suburb, there are 28 families that own a pug. If these owners make up 80% of all dog owners in this suburb, then how many dog owners are there in this neighborhood?

Answers

Answer:

60%

Explanation:

To get percentages, take the part of a population that is being specified and divided that by the whole population and multiply that value by

100%

So there are 30 people that own boxers, this is the specific population that is being compared to the whole dog-owning population, which is comprised of 50 total families. So 30 50 can be reduced to 3 5 and that gives us 0.6

When that value is multiplied by

100%, it gives us our percentage of 0.6 ⋅ 100% = 60

57.8 divided by 81, estimate quotient

Answers

Answer:

0.71358024691 But really you can say .7


Create equivalent ratios

If a lemonade recipe requires 2 cups of sugar for every 6
quarts of lemon juice, how many cups of sugar would be
required for 9 quarts of lemon juice?

Answers

Answer:

3

Step-by-step explanation:

    6 cups  require 2 cups

    9 cups require-------x

Cross multiplication

9x2 = 6x

18 = 6x

x= 3

 Another way to think about:

6 + half of 6 = 9

   Then

2+ and half of 2 = 3

   

       6 is 3 times more than 2

        9 is 3 times bigger than 3

Triangle CDA is the image of triangle ABC after a 180 rotation around the midpoint of segment AC. Triangle ECB is the image of triangle ABC after a 180 rotation around the midpoint of segment BC. Using what you know about the sum of the angles in a triangle, find the sum of the angles of quadrilateral ABED

Answers

Answer:

360

Step-by-step explanation:

Hiking up a mountain, you notice that the air temperature drops 10°C for every 1,000 meters increase in elevation. Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3,000 meters. Then evaluate the expression and explain its meaning.

Answers

Answer:

30,000

Step-by-step explanation:

-2y-5(6z-4y)-3z can anyone help me

Answers

Answer:

18y - 33z

Step-by-step explanation:

-2y-5(6z-4y)-3z

-2y-30z+20y-3z

-2y + 20y    +    -30z - 3z

18y - 33z

A store sells candy at $.50, $1, $1.50, $2, and $3 per kilogram. you can see that the unit price of candies that $3 buy very inversely. What is the constant of variation?

Answers

Answer:

constant of variation = 3

Step-by-step explanation:

Given that a store is selling different candies costing  $.50, $1, $1.50, $2, and $3 per kilogram.

As given

Amount available to buy candies = $ 3

Suppose

Unit price of candies = x

Number of candies bough = y

Constant of variation = k

As we know the unit price of candies and number of candies bought vary inversely. As the unit price would increase the the number of candies bought in available amount ($3) would decrease.

So our formula to calculate formula for constant of variation would be as shown below:

k= xy →(1

Case 1

if we take unit price x to be $0.5, then we can buy 6 kg of candies in $ 3. In this case constant of variation can be found from above equation (1) as follows:

k = (0.5)(6) = 3

Case 2

if we take unit price x to be $1, then we can buy 3 kg of candies in $ 3. In this case constant of variation can be found from above equation (1) as follows:

k = (1)(3) = 3

Case 3

if we take unit price x to be $1.5, then we can buy 2 kg of candies in $ 3. In this case constant of variation can be found from above equation (1) as follows:

k = (1.5)(2) = 3

Case 4

if we take unit price x to be $2, then we can buy 1.5 kg of candies in $ 3. In this case constant of variation can be found from above equation (1) as follows:

k = (2)(1.5) = 3

Case 4

if we take unit price x to be $3, then we can buy 1 kg of candies in $ 3. In this case constant of variation can be found from above equation (1) as follows:

k = (3)(1) = 3

So, our constant of variation is 3.

Evaluate 4p+q/p when p= -2 and q= -3

a) -11/2
b) 9/2
c) -9/2
d) 11/2​

Answers

Answer:

-11/2

Step-by-step explanation:

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