1. Aubrey is driving on a long road trip. She currently has 14 gallons of gas in her car. Each hour that she drives, her car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 6 hours? How much gas would be left after tt hours?

2. Find the sum of -8x^2+3 and -9x^2+3x-3−

3.Simplify the expression to a polynomial in standard form:

(-3x-5)(-x^2+x-5)

Answers

Answer 1

Answer:

See solutions below

Step-by-step explanation:

1) Total amount of gallons = 14 gallons

If she uses up 0.75 gallons of gas each hour then;

1 hour = 0.75gallons

after driving 6 hours, amount of gallons used will be;

6 hours = x

Divide both expressions

1/6 = 0.75/x

x = 6 * 0.75

x = 4.5gallons

Amount of gas left = 14 - 4.5 = 9.5 gallons of gas

Hence 9.5 gallons of gas will be left after 6 hrs

Similarly;

1 hour = 0.75gallons

after driving t hours, amount of gallons used will be;

t hours = x

x = 0.75t

Amount of gas left after t hours = (14 - 0.75t) gallons of gas

2) We are to find the sum of -8x^2+3 and -9x^2+3x-3

-8x^2+3 + (-9x^2+3x-3)

= 8x^2+3 -9x^2+3x-3

Collect like terms

=  8x^2 -9x^2+3x + 3-3

= -x^2 + 3x

Hence the sum is -x²+3x

3) Expressing in standard form;

(-3x-5)(-x^2+x-5)

Expand

= 3x³-3x²+15x+5x²-5x+25

Collect like terms

= 3x³-3x²+5x²+15x-5x+25

= 3x³+2x² + 10x + 25

Hence the product in polynomial form is 3x³+2x² + 10x + 25


Related Questions

Hiiiii wassup I need helppppp T-T

What do the words “some number less” mean?

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Answer: a # less i beleavie...

adjective. innumerable; countless; myriad. without anumber

Slope of -1 through point (3,-1)

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Answer:

Step-by-step explanation:

Y axis of y

This question is geometry

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Answer:

Its 138

Step-by-step explanation:

LOL

A store owner spends 7x + 13 dollars on two orders of boxes of light bulbs, including shipping.

Part A
If she spends 3x + 5 dollars on the first order of light bulbs, which of the following represents how much she spends on the second-order?
10x + 18
4x + 8
21x + 65
10x + 8
Part B
If the store owner spent a total of $90 on both orders, how much does a box of light bulbs cost in dollars? Enter the number in the box.

Answers

Answer:

[tex]B = 4x + 8[/tex]

A box = $11

Step-by-step explanation:

Given

[tex]Total = 7x + 13[/tex]

Represent the first order with A and the second with B.

So, we have:

[tex]A = 3x + 5[/tex]

Solving (a): Find B.

To find B, we make use of:

[tex]A + B = Total[/tex]

Make B the subject

[tex]B = Total - A[/tex]

Substitute values for Total and A

[tex]B = 7x + 13 - (3x + 5)[/tex]

Open bracket

[tex]B = 7x + 13 - 3x - 5[/tex]

Collect Like Terms

[tex]B = 7x - 3x + 13 - 5[/tex]

[tex]B = 4x + 8[/tex]

Solving (b): Cost of a box of light bulb

This means that:

[tex]Total = 90[/tex]

Substitute 7x + 13 for Total

[tex]7x + 13 = 90[/tex]

Collect Like Terms

[tex]7x = 90 - 13[/tex]

[tex]7x = 77[/tex]

Make x the subject

[tex]x = \frac{77}{7}[/tex]

[tex]x = 11[/tex]

the graph shows the voltage in a circuit changing as temperature increases from 100° to 600°. which is the best estimate for the rate of change of the voltage over the interval?

1.5 volts
3 5 volts
5.5 volts
7.5 volts​

Answers

Answer:

3.5?

Step-by-step explanation:

The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.

What is the average rate change of a function?

It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

The graph shows the voltage in a circuit changing as temperature increases from 100° to 600°.

We know that v = 1750 at t = 600° and v = 0 at t = 100°. Then the Average rate of change is given as,

Average rate = (1750 - 0) / (600 - 100)

Average rate = 1750 / 500

Average rate = 3.5

The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.

More about the average rate change of a function link is given below.

https://brainly.com/question/23715190

#SPJ2

A store offers some customers a coupon and then counts how many customers return to the store to shop again. The two-way table shows the results of this experiment. Offered coupon Not offered coupon Returned to store 85 60 Did not return to store 25 38 Select a word or phrase from the drop-down menus to correctly complete the statements describing the association. More customers who returned to the store were Choose... . More customers who did not return to the store were Choose... . There Choose... appear to be an association between whether a customer received a coupon and the customer’s tendency to return to the store to shop again.

Answers

Answer:

More customers who returned to the store were "Offered a Coupon"

More customers who did not return to the store were "not offered a coupon"

There "does" appear to be an association between whether a customer received a coupon and the customer’s tendency to return to the store to shop again.

Hope this helps buddy!

Step-by-step explanation:

Answer:

1.offered coupon

2.not offered a coupon

3. does

Compute 292, 000 divide 100.

Answers

Fitgghhhhhhhhhhhjjjjjj

6x - 9x - 5 + 8 + 7x

Show your work.

Answers

Answer:

6x−9x−5+8+7x

=6x+−9x+−5+8+7x

Combine Like Terms:

=6x+−9x+−5+8+7x

=(6x+−9x+7x)+(−5+8)

=4x+3

Answer:

=4x+3

Step-by-step explanation:

I hope this helps

Answer:

=4x + 3

Step-by-step explanation:

Add the numbers

6

which of the following is equivalent to 3(5+2i)-2(3-6i)^2

Answers

Umm im not sure maby like 1+1 or sum

Answer:

can u show me which following?

Step-by-step explanation:

show like (a, (b or something like that because it says *following and i think that it should have something like that ;-;

write the equation of the line that is parallel to y = 4x -7 and passes through the point (-2, -5). show your work.​

Answers

Answer:

y = 4x + 3

Step-by-step explanation:

To do this, put the new line into the form y = mx + b where m is the slope and b is the y-intercept.

When two lines are parallel, they have the same slope. Since, the slope of the first line is 4, that means the slope of the second line is also 4.

So far, the equation is y = 4x + b.

Then, since you know (-2, -5) is a solution, x = -2, y = -5 is a solution so you can plug this into the equation.

This would be:

-5 = 4 * -2 + b

-5 = -8 + b

3 = b

This means the equation is y = 4x + 3.

Abdul earns $13.00 in interest each month for six months. How much interest will Abdul have earned at the end of six months?

Answers

answer:

78

-- please mark the brainliest and click the thanks button if correct :)

Answer:

$78

Step-by-step explanation:

13 * 6 is 78

I hope that helps broski

Five units to the right of -6

Answers

Answer: -1

Step-by-step explanation:

3(9+c+b) if c=13 and b=4

Answers

Answer:

78

Step-by-step explanation:

Hope this helped. Pls mark brainliest

Answer:

78

Step-by-step explanation:

3(9+13+4)

9+13+4 = 26

3(26) = 78

Charlin got 20 questions correct on her exam and scored a 80%. How many (total) questions were on the exam

Answers

The answer would be 25

PLEASE HELP 22 POINTS

Answers

Answer:

y = 15 m<a = 78 m<b = 68

Step-by-step explanation:

(5y+3) + (4y+8) --> 9y + 11

9y + 11 = 146

y = 15

plug in 15 into the equations for the angles and you get

m<a = 78

m<b = 68

4 + 5 x (10 divided by 9 ) 4 = ?

Answers

Answer:

40

Step-by-step explanation:

4+5=9

9x(10/9)=10

10x4=40

This question has 2 parts. Please explain everything you did in order to answer the second question!

Answers

Answer:

41.8 units

Step-by-step explanation:

Property of the kite: diagonals are perpendicular

PQ = PS = √10²+6² = √136 = 11.7 roundedRS = RQ = √6²+7²= √85 = 9.2 rounded

Perimeter is the sum of the side lengths:

P = 2*(11.7 + 9.2) = 41.8

YOU HAD YOUR WORD TASTUMI YOU HAD YOUR WORD!2

Answers

Answer:

yes :(

Step-by-step explanation:

The total population of Aiken County is 173,000 and there are approximately 23,000 students enrolled in Aiken County schools. What percentage of Aiken County residents are enrolled in Aiken County schools? Round your answer to the nearest tenth.

Answers

Answer:

Percentage = 13%

Step-by-step explanation:

Given the following data;

Total population = 173,000

Number of students = 23,000

To find the percentage;

[tex] Percentage = \frac {Number \; of \; students}{Total \; population} * 100 [/tex]

[tex] Percentage = \frac {23,000}{173,000} * 100 [/tex]

[tex] Percentage = \frac {23}{173} * 100 [/tex]

[tex] Percentage = 0.1330 * 100 [/tex]

Percentage = 13.3 ≈ 13%

Therefore, the percentage of Aiken County residents that are enrolled in Aiken County schools is 13%.

A sporting goods store sold 30% of the baseball bats in stock. If they had 420 bats in stock, how many did they sell?

Answers

Answer:they sold 126 bats

Step-by-step explanation:

30/100= 3/10

3/10x420=3x42=126

(1, 1), (–1,5)
find slope

Answers

Answer:

slope = 0

MARK ME AS A BRAINLIST AND FOLLOW ME

which expression is equivalent to 7a-8-12a+4​

Answers

Answer:

-5a-4

Step-by-step explanation:

7a-8-12a+4

7a-12a-8+4

=-5a-4

What is the area of the triangle?
2
2
units2

Answers

Answer:

2

Step-by-step explanation:

you just multiply

We have a bilateral triangle with base length 2 and sidelengths x where x is increasing at a rate

of 5 units per minute.

Find the rate of change of the side angle teta when x=2.

Answers

Answer:

[tex]\frac{5\sqrt{3} }{6}[/tex]

Step-by-step explanation:

Given :

base length = 2

side lengths = x

dx/dt = 5 unit/min

Determine d∅ / dt  at x = 2

d∅ / dt  at x = 2  = [tex]\frac{5\sqrt{3} }{6}[/tex]

attached below is a detailed solution

Find the solution of the system of equations.
-9x + 2y = -19
5x + 4y = –15

Answers

Answer:

x=1 and y=-5

Step-by-step explanation:

i think that is right

What’s the anwser for this. I’m so confused

Answers

Answer:

Its A

Step-by-step explanation:

Marine biologists are concerned that pollution from a nearby factory has affected the health of local sea urchins. Which of the following is most likely to be the population of interest?
Choose the correct answer below
A 4 sea urchins with abnormal coloration
B. All of the sea urchins near the plant
C. All of the sea urchins in the entire ocean
D. 20 sea urchins gathered from tidal pools

Answers

Answer:

its C. all of the sea urchin in the entire ovean is the most likely to be the population of interest

The population of interest will most likely be option B. all of the sea urchins near the plant.

The term 'population of interest' refers to the group or number from which inference is made or done for research purposes. And from this group, the researcher will try to draw conclusions from his/her study.

A population of interest is generally taken for studies or statistical references.In the given scenario, the biologists found that the nearby factory is directly affecting the health of the local urchins.And in conducting the research, the population of sea urchins near the plant will be taken or regarded as the population of interest.

For the marine biologists to determine the extent of the factory's effect on the sea urchins, they would consider or take the sea urchins near the factory population as the population of interest. Thus, the correct answer is option B.

Learn more about population of interest here:

brainly.com/question/16976252

Which of the following lists of ordered pairs is a function?
O A. (2, 4), (0, 2), (2, -4), (5,3)
O B. (1,6), (2,7),(4,9), (0,5)
O c. (0, 2), (2, 3), (0, -2), (4,1)
O D. (1, 2), (1, -2), (3, 2), (3, 4)

Answers

Answer:

b

Step-by-step explanation:

Answer:

The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Checking option A:

(2, 4), (0, 2), (2, -4), (5,3)

Here, the input x = 2 is repeated twice.

Thus, option A does not represent the function as the input x = 2 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.

Checking option B:

(1,6), (2,7),(4,9), (0,5)

It is clear that no input value is repeated. In other words, each input or x-value of the X set has a unique y-value or output of the Y set.

Thus, the option B represents the function.

Checking option C:

(0, 2), (2, 3), (0, -2), (4,1)

Here, the input x = 0 is repeated twice.

Thus, option C does not represent the function as the input x = 0 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.

Checking option D:

(1, 2), (1, -2), (3, 2), (3, 4)

Here, the input x = 1 is repeated twice, and also x = 3 is repeated twice,

Thus, option D does not represent the function as we can not have duplicated inputs as there should be only 1 output for each input.

Conclusion:

The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.

Madison makes 4 types of hair ribbons. She makes 3 of each type of ribbon. How
many hair ribbons does Madison make?
A 12
B. 10
C. 9
D. 7

Answers

Answer:

D. 7

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Plz guys can you guys help me

Answers

Answer:

answer B is correct of this question

Answer:I believe the answer is C my dude

Step-by-step explanation:

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