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:

t(x) = 6x + 438

Step-by-step explanation:

The total (marked it as t) amount of money that Tamara has is the sum of the money under her bed and the money that she makes by babysitting.

Note that the first function is fixed and doesn't  actually depend on x (it could be written s = 450), so the only variable, which changes, is the hours (x) in the second function.

// combining the two functions

t(x) = 450 + 6(x − 2)

// simplification

t(x) = 450 + 6x − 12

t(x) = 450 + 6x − 12

// the simplified function is

t(x) = 6x + 438


Related Questions

.) A group of neighborhood families are planning a trip to the museum. Tickets are $25 for adults
and $10 for children. The group also has a coupon for $5 off. The expression 25a + 10c – 5
represents the total cost for a adult and c child tickets. Monica is purchasing tickets for
5 adults and 9 children.

Answers

Answer:

$210

Step-by-step explanation:

the expression is 25a+10c-5

where a=adults,c=children

and we have 5adults and 9 children

then 25a + 10c - 5 is

25(5)+10(9)-5

=125+90-5

=210

answer:Monica is going to purchase tickets for 5adults and 9 children for$210

Which statement is true about compound interest?

The interest is figured on the principal only.
The amount in the account grows slower than with simple interest of the same rate.
The interest can be compounded over different time intervals.
The interest in most banks is not calculated using compound interest.

Answers

THE LAST OME IS CORRECT !!!

Compound interest is  the interest calculated using the principal and the interest over a period of time.

The statements that are true about compound interest are:

The interest can be compounded over different time intervals.

The interest in most banks is not calculated using compound interest.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + rn)^{nt}[/tex]

P = principal

r = rate

t = time in years

n = number of times compounded in a year.

We have,

The interest is figured on the principal only.

This is not true because we calculate the compound interest on the interest as well.

The amount in the account grows slower than with simple interest of the same rate.

This is not true because we are calculating the interest on the principal and interest together.

The amount with compound interest will be more than the amount with simple interest.

The interest can be compounded over different time intervals.

This is true because we can have different time intervals such as,

monthly compounded, quarterly compounded, bimonthly compounded, and yearly compounded.

The interest in most banks is not calculated using compound interest.

This is true because banks don't calculate using compound interest.

Thus,

The statements that are true about compound interest are:

The interest can be compounded over different time intervals.

The interest in most banks is not calculated using compound interest.

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ2

Write the equation of a line given its slope,m=6 and its y-intercept, b=-5

Answers

Answer:

Y = 6X-5

Step-by-step explanation:

substitute the value of slope and Y intercept in the standard equation Y = MX + B

where M is the slope and b is the y-intercept

HELP! Brainliest to first correct answer with work shown!

Answers

Answer:

Step-by-step explanation:

A.  f(8) = 11

B.  f(x) = 7, so x = 3

Please help for instant brainliest.

Answers

Answer is x + y= 35
x-y= 7

11 - m = 51 - 6m solve for m

Answers

This should be the answer if not let me know

                               2/2m=8 2/2

Answer: m = 8.

Step-by-step explanation: Proof:

0.9 (13) - 1.7 (3) =

Answers

Answer:

6.6

Step-by-step explanation:

A, b birer sayı olmak üzere a. b =12 ise a+b nin en büyük ve en küçük değerini bulunuz?​

Answers

Answer:

a.b=12 ise öncelikle çarpılarak 12 eden sayıları bulmalıyız;

4.3=12

6.2=12

12.1=12

şimdi toplamları en fazla ve en az olan çarpımları bulmalıyız toplamları en fazla olan çarpım;

12.1 den 12+1=13 tür

toplamları en az olan çarpım ise;

4.3 den 4+3=7 dir

A local radio station conducted a survey about stay-at-home parents by randomly dialing home numbers on weekdays until responses from 500 adults were collected. Twenty-six percent of those who responded said they were stay-at-home parents. In reality, only four percent were actually stay-at-home parents at the time of the survey. Which of the following best explains the difference in the two percentages?

a. The difference is due to voluntary response. Adults are able to volunteer as members of the sample.
b. The difference is due to undercoverage bias. The survey included only adults with telephones.
c. The difference is due to response bias. Adults who are stay-at-home parents are likely to say they are employed outside the home.
d. The difference is due to sampling variability. We should not expect the results of a random sample to match the truth about the population every time.
e. The difference is due to nonresponse bias. Adults who are stay-at-home parents are more likely to be available for the sample than adults who are employed outside the home.

Answers

Answer:

The difference is due to nonresponse bias. Adults who are stay-at-home parents are more likely to be available for the sample than adults who are employed outside the home.

E on multiple choice

Step-by-step explanation:

an anthill has a volume of 8792mm^3 of dirt. its radius is 20 mm. what is the height of the cone? explain how you found the height.​

Answers

Answer:

Height, h = 20.99 millimeters.

Step-by-step explanation:

Given the following data;

Volume = 8792mm³

Radius = 20 mm

To find the height;

We know that the shape of an anthill is conical in nature.

Mathematically, the volume of a cone is given by the formula;

[tex] V = \frac{1}{3} \pi r^{2}h[/tex]

Where;

V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.

Substituting into the equation, we have;

[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]

[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]

[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]

[tex] 8792 = 418.93*h [/tex]

[tex] Height, h = \frac {8792}{418.93}[/tex]

Height, h = 20.99mm.

Therefore, the height of the cone is 20.99 millimeters.

What is the least common denominator for 1/3 and 3/4? please I need this quickly​

Answers

Answer:

12

Step-by-step explanation:

How many 3/5 are in 7

Answers

Answer:

11.6

Step-by-step explanation:

7 ÷ ⅗ = 11.6

I hope this answer is satisfactory. Please comment if you have any concerns.

Answer:

35/3 or 11 2/3

Step-by-step explanation:

This is a division problem.

We need to divide 7 by 3/5.

7 / 3/5 = 7/1 / 3/5 = 7/1 * 5/3 = 35/3 = 11 2/3

Answer: 35/3 or 11 2/3

120
'N
A) 350
C) 135
D) 120

Answers

Answer:

it is d 120

Step-by-step explanation:

Which number is prime?
A. 4
B. 10
C. 22
D. 31

Answers

Answer:

d. 31

Step-by-step explanation:

BRAINLIEST PLEASE

Jessie stacked photographs of 6 zoo animals on top of each other to create a display. Each photo is 14 1/4 in. high. How high is the display?

Answers

Answer:

85 1/2 inches

Step-by-step explanation:

14 1/4 x 6 = 85 1/2 inches

Hope that helps!

a shopper pays $45 for 3 packs of t shirts. if each pack costs the same amount and contains 5 tshirts what is the cost per t shirt
A: $3
B: $6
C: $8
D: $9​

Answers

Answer:

$3

Step-by-step explanation:

45/3=15

15/5=3

Someone help me on question 4 plsss

Answers

Answer:

I think C

Step-by-step explanation:

Find the class boundaries mid point and width for the class 37-46

Answers

The mid point is 4.5 or 4 and 5 depending on how they wnat u to answer

The population of a city decreases by 1.2% per year. If this year's population is
242,000, what will next year's population be, to the nearest individual?

Answers

Answer:

Your answer

212960

Mark it as Brainlist answer. Follow me to get more answer

Step-by-step explanation:

Answer: it is actually 239096

Step-by-step explanation:

Each suite has 3 beds and there is a bed side table beside each side of each bed. How many bed side tables are there in all the suites?

Answers

Answer:

8

Step-by-step explanation:

3 +  3  + 2

Evaluate the expression 12/(10-2)-(22-18)
A. 3
B. 4
C. 12
D. 0

Answers

Answer:

A

Step-by-step explanation:

9 Darby graphed the equation y = 4x + 6 on a
graph. Samuel graphed the line defined by the
table.
x02
y 6 14
-35
-6 26
Which of the statements correctly compares the
two functions?
A. Both functions have the same y-intercept but
different slopes; therefore, Darby and Samuel
have graphed the same line.
B. Both functions have the same slope but different
y-intercepts; therefore, Darby and Samuel have
graphed parallel lines.
C. Both functions have the same y-intercept and
the same slope; therefore, Darby and Samuel
have graphed the same line.
D. Both functions have the same slope and the
same y-intercepts; therefore, Darby and Samuel
have graphed parallel lines.

Answers

Answer:

C

Step-by-step explanation:

Darby's equation in slope-intercept form: y = 4x + 6

Where,

Slope (m) = 4

y-intercept (b) = 6

Let's find the slope (m) and y-intercept (b) of the line Samuel graphed using the values of the given table.

Slope (m) using (0, 6) and (2, 14)

Slope (m) = ∆y/∆x = (14 - 6)/(2 - 0) = 8/2

Slope (m) = 4

y-intercept (b) = 6, because at x = 0, y = 6. This is where the line intercepts the y-axis.

Now, we can see that both functions has the same slope (m) = 4, and the same y-intercept (b) = 6

Both will have the same line.

Eight randomly selected customers at a local grocery store spent the following amounts on groceries in a single visit: $216, $184, $35, $92, $142, $175, $9, and $57. Let yi denote the amount spent on groceries by a single customer in a single visit. Find the following (give the answers without commas):

a. ∑y
b. (∑y)^2
c. ∑y^2

Answers

Answer:

a) 910

b) 828100

c) 144320

Step-by-step explanation:

a. ∑y

This is the sum of all values of y. So

[tex]\sum y = 216 + 184 + 35 + 92 + 142 + 175 + 9 + 57 = 910[/tex]

b. (∑y)^2

This is the square of the sum, so the square of 910, that we found in the previous item.

910² = 828100

c. ∑y^2

This is the sum of the squares of each amount spent. So

[tex]\sum y^2 = 216^2 + 184^2 + 35^2 + 92^2 + 142^2 + 175^2 + 9^2 + 57^2 = 144320[/tex]

Which set of numbers below DO NOT make a triangle?
7,7,7
6, 3, 3
3,4,5
5, 11,7

Answers

Answer:

6, 3, 3 (B)

Step-by-step explanation:

Two sides of a triangle must be greater than the remaining side

A way to think about this is like this:

The two shortest sides of a triangle must be greater than the final side

Go through this process for each option and find the B does not work

6,3,3 because two sides must be greater than 6,3,3

Is ABC= DEF? If so, name the congruence postulate that applies.

Answers

Answer= congruent ASA

Step by step: in the question it tells you the two of the angles are the same and one of the sides are the same so it’s angle side angle(ASA)

Answer:

B)

Step-by-step explanation:

a p ec

What is the difference between qualitative and quantitative data

Answers

Answer: D) Qualitative data is not collected by instruments, it is just observations

Quantitative data deals with numeric values, which is collected by instruments usually. For example, if you're weighing various rocks, then each numeric weight value is part of the quantitative data set. The color of each rock would be qualitative data as you simply look at the rocks and record the color. It will depend on what question you're trying to answer as to whether quantitative data or qualitative data is more useful. Sometimes you may need both types.

Mr. king used 16 gallons of gas in 6 days. Circle any of the following that describes the average amount of gas Mr. King used per day? (Sorry forgot options, also my math teacher gave me a hint about 3 answers)

Answers

16 divided by 6 will give you the average

2.66666 rounded to 2.67 or 2.7

Find the length of JL.

Answers

4.5 units is the value of the length of JL

Solve. 3 + 4(w + 5) = 31

Answers

Answer:

8/4

We have,

3+4(w+5)

=31 Or, 3+20+4w

=31 or, 4w

=31−23

w=8/4

Thus, w comes out to be 2 .

Step-by-step explanation:

Hope it is helpful....

Answer:

w=2

Step-by-step explanation:

3 + 4(w + 5) = 31

distribute 4(w + 5)

4 x w = 4w

4 x 5 = 20

rewrite your equation

3 + 4w + 20 = 31

add like terms

3 + 20 = 23

rewrite equation

4w + 23 = 31

subract 23 on both sides

4w + 23 = 31

-23 -23

4w = 8

divide by 4 on both sides to get w by itself

4w = 8

4      4

w = 2

how many odd _2-digit positive integers can be written using the numbers 2,4,5, and 8?​

Answers

Answer:

4 different odd integers:  25, 45, 55, 85

Step-by-step explanation:

Other Questions
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