The dimensions of a rectangle are x+4 and 3x-1. Write an expression to represent the area of the rectangle.

Answers

Answer 1

Answer:

9x^4 - 6x^3 + 97x2 - 88x + 16

Step-by-step explanation:

so (x + 4)(x + 4) = x^2 + 8x + 16 is the total length of the rectangle, and

(3x - 1)(3x - 1) = 9x^2 - 6x + 1, if you multiply each other, because Area = length times width, then you get the area.

(9x^2 - 6x + 1)(x^2 + 8x + 16) = 9x^4 + 72x^2 + 144x^2 - 6x^3 - 48x^2 - 96x + x^2 + 8x + 16, and then you add them all together = 9x^4 - 6x^3 + 98x^2  - 96x + 8x + 16 = 9x^4 - 6x^3 + 97x2 - 88x + 16


Related Questions

The box plots show the average gas mileage of cars and minivans tested by a certain company.

2 box plots. The number line goes from 14 to 34. For cars, the whiskers range from 21 to 33, and the box ranges from 22 to 29. A line divides the box at 24. For minivans, the whiskers range from 14 to 26, and the box ranges from 18 to 21. A line divides the box at 19.

Which is closest to the difference in the medians of the two sets of data?
4
5
7
8

Answers

Answer:

the answer is 5

Step-by-step explanation:

Answer:

the answer to your question is 5 or b because

i did it on edge2020 and got it right

Step-by-step explanation:

Carli has 4 1/2 walls left to paint in order for all the bedrooms in her house to have the same color paint.
However, she has used almost all of her paint and only has 5/6 of a gallon left.
How much paint can she use on each wall in order to have enough to paint the remaining walls?

Answers

Answer: 5/27

Step by step:
4 1/2= 9/2
5/6 divided by 9/2= 5/27
But I’m not positive.

Pls HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!! :))

Answers

Answer:

the fourth one

Answer: 4

Step-by-step explanation:

What is the product of 3.2 and –6?
A. –19.2
B. –9.2
C. –2.8
D. 19.2

Answers

Answer:A

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

done it on edge byee :)

Solve this system of linear equations. Separate
the x- and y-values with a comma.
-5x + 3y = 13
7x + 2y = -12

Answers

Answer:

x = -2, y = 1

Step-by-step explanation:

So you can solve this equation using subtraction.

Multiply the first equation by 2:

-10x + 6y = 26

Multiply the second equation by 3:

21x + 6y = -36

Subtract the two equations:

-31x = 62

x = -2

y = 1

How many triangles can be constructed with angles measuring 110°, 50°, and 20°?


more than one

none

one

Answers

Answer:

One

Step-by-step explanation:

This is because 1 triangle's interior angles add up to 180

And 110+50+20=180

Therefore only one triangle can be constructed

What is the theoretical probability of spinning green on the spinner below?


1/12

1/8

1/3

1/4







Answers

Answer:

there are 12 sections in total and 3 green sections

3 wanted sections /12 total sections = 1/4 chance to get green

hope this helps

Step-by-step explanation:

Probability of spinning green on the spinner is equals to [tex]\frac{1}{4}[/tex] .

What is probability?

" Probability is defined as the mathematical statement which represents the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Total number of spinning colour in a spinner = 12

Number of green spinner = 3

Substitute the value in the formula to get the probability we get,

Probability of spinning green = [tex]\frac{3}{12}[/tex]

                                                 =  [tex]\frac{1}{4}[/tex]

Hence, probability of spinning green on the spinner is equals to [tex]\frac{1}{4}[/tex] .

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Help

Will mark as brainliest

Answers

Step-by-step explanation:

multiply it

power in multiplication added

4x⁵z⁸

Answer:

4x^3z^2. you bring out the number then factor out the algebra then multiply the remaining algebra with the number

It costs $20.50 to enter an amusement park and $0.25 to ride a ride. You have $21.50. Write an equation that represents the number r of rides you can ride.

Answers

Answer:

4 rides

Step-by-step explanation:

Total amount = $21.50

Entry charge = $20.50

Amount left = $21.50 - 20.50 = $1

Number of rides

[tex]r = \frac{1}{0.25} = \frac{100}{25} = 4 \\ [/tex]

Another way:

[tex] 0.25\:r + 20.50 = 21.50\\

0.25\:r = 21.50 - 20.50\\

0.25\:r = 1\\

r = \frac{1}{0.25}\\

r = \frac{100}{25}\\

r = 4\\[/tex]

Which of the following shows 21/35 as a simplified fraction?

A. 1/5
B. 2/3
C. 3/5
D. 1/3

Answers

The right answer is 3/5

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

3/5

Step-by-step explanation:

divide by 7/7 and u get 3/5

Is 4:3 equivalent to 16: 12? How do you know?​

Answers

Answer: Yes

Step-by-step explanation: They are equivalent because 4x4=16 and 4x3=12 .

100 points! Will give brainliest!


Which of the following systems of inequalities has point D as a solution?

f(x) ≤ 3x + 4

g of x is less than or equal to negative one half times x minus 5


f(x) ≥ 3x + 4

g of x is less than or equal to negative one half times x minus 5


f(x) ≤ 3x + 4

g of x is greater than or equal to negative one half times x minus 5


f(x) ≥ 3x + 4

g of x is greater than or equal to negative one half times x minus 5

Answers

Answer:

B) f(x) ≥ 3x + 4

g of x is less than or equal to negative one half times x minus 5

Step-by-step explanation:

From the above graph,  

If point B is the solution of the system of inequalities, then point B must satisfies both inequalities  

We can see from the graph that

Point B is located above (≥) the boundary line for f(x) and is also below (≤) the boundary line for g(x).

So we can say,

Point b satisfies the inequalities

Therefore,  

The system is  

 f(x) ≥ (3x+4)

 g(x) ≤ (-1/2x -5)

Was this helpful?

Help me I’m. It big brain

Answers

Answer:

A 35

Step-by-step explanation:

75-40=35

The right answer is 35.

look at the attached picture

Hope it will help you

Good luck on your assignment

YALLL I NEED HELP !!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

2nd one

Step-by-step explanation:

it was 0⁰F at 6 pm to -4⁰F at 11pm to you go to the left 4 times from 0⁰F and between 11pm and 5am the temperature dropped by 6 degrees so you go the the right 6 times from -4 which is 2⁰F so the 2nd one represents the temperature at 5am Hope it helped

Due in 3 mins please help!!!

Answers

Answer:

a=100 sq. cm.

Step-by-step explanation:

a= l×w

a=10×10

a=100

Which of the following equation(s) show exponential growth? Select all that apply.
y=3^x
y=5x+2
y=x^4+1
y=2^3+x

Answers

Answer:

y=5x+2 and y2^3+x

Step-by-step explanation:

those 2 show exponential growth

If your car gets 22 miles per​ gallon, how much does it cost to drive 360 miles when gasoline costs ​$2.80 per​ gallon?

Answers

If you get 22 miles for 2.80 and you need 360 miles

22\360=?•2.80

22/360=16.3

2.80 • 16.3 = 45.6$

So it would cost 45.6$ to drive 360 miles

Answer:

45.6

Step-by-step explanation:

the way you find this would be

22/360 = 16.32.80 x 16.3 = 45.64But to get 45.6 you would have to round this answer to the nearest tenth 45.64 rounded to the nearest tenth would be 45.6Therefore your answer would be $45.6 per gallon

The sum of two positive integers is 12. When the smaller integer is subtracted from five times the larger, the result is 36. Find the two integers.

Answers

Answer:

The smaller integer is 4 and larger integer is 8 .

Step-by-step explanation:

First we have to form own variables and expression. So we let the smaller integer be x and the larger integer be y. Next using the information given to form expressions :

[tex]x + y = 12 \\ 5y - x = 36[/tex]

Lastly, we can solve the simultaneous equation using Elimination :

[tex]x + y = 12 - - - (1)[/tex]

[tex] - x + 5y = 36 - - - (2)[/tex]

[tex](1) + (2)[/tex]

[tex]x + ( - x) + y + 5y = 12 + 36[/tex]

[tex]6y = 48[/tex]

[tex]y = 8[/tex]

[tex]sub \: y = 8 \: into \: (1)[/tex]

[tex]x + 8 = 12[/tex]

[tex]x = 4[/tex]

"Suppose that 5% of bags contain forbidden items."
Forbidden
0.05
Not forbidden
What is the probability that a randomly chosen bag does NOT contain a
forbidden item?
P(not forbidden) =

Answers

Answer:

.95 is the correct answer. See screenshot below

Step-by-step explanation:

The probability that a randomly chosen bag does NOT contain a forbidden item is 0.95

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, 5% of bags contain forbidden items.

We know that, the probability of an event not happening is 1 minus the probability of the event happening,

Therefore, the probability that a randomly chosen bag does NOT contain a forbidden item = 1-0.05 = 0.95

Hence, the probability that a randomly chosen bag does NOT contain a forbidden item is 0.95

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A shirt is on sale for 30% off. The expression p minus 0.30 p, where p is the original cost of the shirt, can be used to find the sale price. Which expression means the same as decreased by 30%?
A 0.30 p
B.0.70 p
C.1.30 p
D.30 p

Answers

A. I’m not a 100% sure

Answer:

The price times 0.30 is how much it is now so its should be A

Step-by-step explanation:

The formula for period is 2pie/b use the value of the period, 2.244, to solve for the value of b, rounded to the nearest tenth:

B= ?

Answers

Answer:

2.8

Step-by-step explanation:

2.244=2π/b

2.244b=2π

2.244b/2.244=2π/2.244

(π=22/7)

b=2.8

howdy!!

the answer is below :)

Find the quotient. Simplify your answer.
7y/6 divides by z/-2

Answers

Answer:

-7y/3z

Step-by-step explanation:

When dividing fractions, we flip the second one so that we can multiply the 2 fractions. When we do this, we get 7y/6 * -2/z. When we multiply the numerators and denominators, we get -14y/6z. Simplifying (dividing the numerator and denominator by 2), we get -7y/3z.

What are the numerical measures of each angle in the diagram?

Answers

X is 10 so both angles are 29. This means that the other angles are 151 because the whole thing must add up to 360.

The box plots compare the number of students in Mr. Ishimoto’s classes and in Ms. Castillo’s classes over the last two semesters.

A number line goes from 22 to 42. Mrs. Ishimoto's class's whiskers range from 28 to 40, and the box ranges from 31 to 35. A line divides the box at 33. Mr. Castillo's class's whiskers range from 24 to 38, and the box ranges from 30 to 34. A line divides the box at 31.
Which statement is true about the box plots? Select three options.

Both box plots show the same range.
Both box plots show the same interquartile range.
The data for Mr. Ishimoto has an outlier.
Mr. Ishimoto had the class with the greatest number of students.
The smallest class size was 24 students.

Answers

Answer:

B, D, E

Step-by-step explanation:

i just took test

The statements that are true about both box plots are:

B. Both box plots show the same interquartile range.

D. Mr. Ishimoto had the class with the greatest number of students.

E. The smallest class size was 24 students.

What is a Box Plot?

A box plot is a graphical representation of the five-number summary of a data distribution, which displays the minimum value, maximum value, lower and upper quartiles, and median value.

From the box plots described, the following are the five-number summary of the data distribution for Mrs. Ishimoto's Class:

Min.: 28Lower Quartile: 31Median: 33Upper Quartile: 35Max.: 40IQR = Q3 - Q1 = 35 - 31 = 4

Five-number summary of the data distribution for Mr. Castillo's class:

Min.: 24Lower Quartile: 30Median: 34Upper Quartile: 34Max.: 38IQR = 34 - 30 = 4

Therefore, the statements that are true about both box plots are:

B. Both box plots show the same interquartile range.

D. Mr. Ishimoto had the class with the greatest number of students.

E. The smallest class size was 24 students.

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Giving brainliest for correct answer
A 17-foot ladder is leaning on a tree. The bottom of the ladder on on the ground at a distance of 8 feet from the base of the tree. The base of the tree and the ground form a right angle as shown.


[ not drawn to scale ]

What is the distance, in feet, between the ground and the top of the ladder?

Answers

Answer:

15 feet

Step-by-step explanation:

Since, it's a right triangle, we will use the Pythagorean theorem formula:

[tex]a^2+b^2=c^2[/tex]

a and b are the straight sides and c is the ladder (hypotenuse).

[tex](8)^2+b^2=(17)^2[/tex]

Solve for [tex]x[/tex]:

[tex]64+b^2=289[/tex]

[tex]b^2=225[/tex]

[tex]\sqrt{b^2} =\sqrt{225}[/tex]

[tex]b=15[/tex]

The distance between the ground and the top of the ladder is 25 feet.

what is Pythagoras Theorem?

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.

Given:

Hypotenuse= 17 foot

Base = 8 feet

Now, using pythagoras theorem

H² = P² + B²

17² = P² + 8²

289 - 64 = P²

P= √225

P= 25 foot

Hence, the distance between the ground and the top of the ladder is 25 feet.

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ASAP!! I JUST NEED THE ANSWER!!! I WILL MARK YOU BRAINLIEST!!!
Sam is eating a Big Hamburger. The first bite was 20% of the Hamburger, the second bite was 20% of what is left and so every next bite is 20% of what is left.
a) How much did the Hamburger weigh originally, if after the second bite there was 160g of it left?

Answers

Answer:

250g

Step-by-step explanation:

To calculate the original weight, you just have to find how much was left of the hamburger after the second bite.

Say that the hamburger is x grams.

0.64x = 160

x = 250

I feel sorta bad but, I got pretty much the same answer...

Answer:

250g

Step-by-step explanation:

To calculate the original weight, you  have to find how much was left of the hamburger after the second bite.

Say that the hamburger is x grams.

0.64x = 160

x = 250

Question in attachment

Answers

Answer:

y = 3/4 x + 25/4

Step-by-step explanation:

just tried the numbers out with desmos (free online software

the 3/4 where guessedby intuition

(would indeed appreciate the brainliest if you appreciate the work)

Write down all the factors of 24

Answers

Answer:

1,2,3,4,6,8,12,24

Step-by-step explanation:

Set up and solve an equation for the value of x. Use the value of x and a relevant angle relationship in the diagram
to determine the measurement of <EAF.

Solution:

Answers

Answer:

x and EAF are 27 degrees

Step-by-step explanation:

Since GAF is a right angle as indicated by the little square, GAC and CAF must add up to 90 degrees. Therefore, x is 90-63=27 degrees. The situation is the same for angle EAF. Hope this helps!

Solve and write in simplest form, 4/6 x 6/8

Answers

Answer:

1/2

Step-by-step explanation:

4x6=24

6x8=48

24/24=1

48/24=2

Therefore, it is 1/2

2/3 x 3/4 because 4 divided by 2 is 2 and 6 divided by 2 is 3 therefore 4/6= 2/3
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