Which of the following variable expressions would represent the area of a rectangle if its length was represented by x+5 and its width was represented by x-2?

x[tex]x^{2} +3x+10\\
x^{2} +3x-10\\
x^{2} -10x+3\\
x^{2} -10[/tex]

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Remember that the area of a rectangle is given by the formula [tex]A=lw[/tex].

We know that the length is [tex](x+5)[/tex] and the width is [tex](x-2)[/tex]. Therefore, the area will be:

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

Expand. Use the Distribute Property. This yields:

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

Multiply:

[tex]A=(x^2+5x)+(-2x-10)[/tex]

Combine Like Terms:

[tex]A=x^2+(5x-2x)-10\\A=x^2+3x-10[/tex]

Therefore, our answer is B.


Related Questions

James and Rhea went out for a picnic. James ate 3/8 of a pizza. Rhea ate ¼ of the pizza. What fraction of pizza did they eat altogether?

Answers

Answer:

1/2

Step-by-step explanation:

LISTEN
Cal jogs from 10:28 AM until 11:15 AM. For about how long does Cal jog?

Answers

Answer:

47 minutes

Step-by-step explanation:

In elapsed time, it's better to make your problem more readable so it's easier to solve. Add 2 minutes into 10:28 so it turns into 10:30. Then add 30 minutes so it turns into 11:00 AM. Finally, add 15 minutes so it turns into the 11:15 you were looking for. When you combine the minutes allotted (2, 30, and 15) you get 47 minutes.

I need help please ASAP

Answers

ANSWER

angle A, CAB, BAC

A pair of shoes costs $70.00. How much will the customer pay after 7% sales tax is added to the purchase?

Answers

Answer:

4.9

Step-by-step explanation:

70.00x7%=4.9

Help me please.........

Answers

Answer: C

Step-by-step explanation:

The answer is C

Two functions are shown below

f(x)=6x+3
g(x)=3x-2
What is the product of f(3) and g(-4)​

Answers

Answer:

-294

Step-by-step explanation:

f(3) = 6(3) + 3

f(3) = 18 + 3

f(3) = 21

g(-4) = 3(-4) - 2

g(-4) = -12 - 2

g(-4) = -14

f(3) * g(-4) = 21 * -14 = -294

Hope this helps!

Answer:

a. -294

Step-by-step explanation:

f(x)=6x+3

f(3)=6(3)+3

f(3)= 18 +3

f(3)= 21

g(x)=3x-2

g(-4)=3(-4)-2

g(-4)=-12-2

g(-4)=-14

21 x -14 = -294

does anyone know? thank you

Answers

Answer:

option (D)

Step-by-step explanation:

f(1)=2-7=-5

f(2)=4-7=-3

f(3)=6-7=-1

Jose earns $920 for 40 hours of work. What is Jose’s unit rate?
i need help

Answers

Answer:

Step-by-step explanation:

rate=earning/time=920/40=23 $ per hour.

A wall measures 2 meters 30 centimeters in width.

What is the width of the wall in millimeters?
A:0.0023 mm

B:0.23 mm

C:2.3 mm

D:2,300 mm

Answers

Answer:

The answer is D

Step-by-step explanation:

1 meter = 1,000 millimeters

1 centimeter = 10 millimeters

2 meters = 2,000 millimeters

30 centimeters = 300

2,000+30=2,300

Answer: D. 2,300

Step-by-step explanation:

There is 1000 millimeters in a meter which gets you 2000 plus the 30 centimeters. 30 centimeters is equal to 300 millimeters because for every centimeter its 10 millimeters. Add the 2000 to the 300 and get 2300 millimeters.

ASAP ASAP ASAP
simplified the expression 6^8/6^10 select all that apply brainly

Answers

Answer:

1,679,616/60,466,176

Step-by-step explanation:

=0.02777777777

HURRY I WILL GIVE BRANLIEST!!!

Answers

Answer:

H. Subtracted 2x from both sides

Step-by-step explanation:

Answer:

h

Step-by-step explanation:

you have to put your common variables together

please help me with domain and range of graphs Part 1​

Answers

Answer:

see the attached for domainRange: (-∞, 4], [3, ∞), [-3, 1]

Step-by-step explanation:

The domain is the horizontal extent of the graph. When the graph has arrows on the end, it extends to infinity in the indicated direction.

__

The range is the vertical extent of the graph.

Left Graph

We assume the curve is intended to touch, not cross, the line y=4, so the range is ...

  range: (-∞, 4]

__

Middle Graph

We assume the graph continues along the line y=3 to the right indefinitely. Then this value is the minimum of the range.

  range: [3, ∞)

__

Right Graph

The low point on the graph is at y=-3, and it looks like the graph continues to the right along the line y=1. Then the range is ...

  range: [-3, 1]

The tide level goes down all evening, and Hamid’s instruments read 11 ft above his marker 1 hour before he arrived. Write the equation in slope-intercept form of the line that represents today’s tide level y relative to the marker over time x, if Hamid knows the line is parallel to the graph of yesterday’s data, y=−8x− 2.​

Answers

Answer:

y - 11 = -8(x - 1)

Step-by-step explanation:

We are told Hamid’s instruments read 11 ft above his marker 1 hour before.

Where y is tide level and x is time.

Thus, x1 = 1 and y1 = 11

Since graph of yesterday's data is y = -8x - 2,then in slope intercept form, the equation parallel is;

y - y1 = m(x - x1)

m is -8.

Thus; y - 11 = -8(x - 1)

-9(-2 -9)+(-16)-
——————
-8

Answers

Answer:[tex]-10\frac{3}{8}[/tex]

Step-by-step explanation:

I dont know if the live on the other side of 16 is a mistake but if it is than thats the answer above.

what is the answer? pls help

Answers

Answer:

20

Step-by-step explanation:

lol ok got it bro

The largest whale is the blue whale weighing 19,000 kg what is its weight in scientific notation

Answers

Answer:

1.9*10^4   kg

Step-by-step explanation:

1.9*10^4   kg

Answer:

1.9 × 10⁴

Step-by-step explanation:

Move the decimal 4 places to the left to get your number less than 10 but greater than one. Every space you moved left is then placed in the position of the exponent for 10.

Find the distance between the parallel lines y=3x-1 and y=3x-11. Round
your answer to the nearest HUNDREDTH.

Answers

Answer:

x=1.5  y=-4.5

Step-by-step explanation:

Karen invests $2,400 into an account with a 6.8% interest that is compounded annually. How much money will she have in this account if she keeps it for 8 years? Round your answer to the nearest cent. Do NOT round until you have calculated the final answer.

Answers

Answer:

The answer is 4062.39

Step-by-step explanation:

A=$2,400(1+0.0681)1(8). Simplify using the order of operations: A=$2,400(1.068)8=$2,400(1.692661131)≈$4,062.39.

The amount of money after 8 years will be $4062.38.

What is compound interest?

In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.

Given that Karen invests $2,400 into an account with a 6.8% interest that is compounded annually. The amount after 8 years will be calculated as below:-

Amount = P [ 1 + ( r / n )]^(nt)

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Amount = 2400 [ 1 + ( 0.068 / 1 ) ] ⁸

Amount = 2400 [1.068 ) ] ⁸

Amount = 4062.38

Therefore, the amount of money after 8 years will be $4062.38.

To know more about compound interest follow

https://brainly.com/question/24924853

#SPJ2


Dara had to pay $50 in band fees, $25 for the school club fee and $30 for a lab fee how much money does she need to cover her fees

Answers

Answer:

She will need 105$

Step-by-step explanation:

Add 50+25=75 Then add 75+30=105

She has to pay 95 dollars ... $105

Choose the inequality that Caroline's hair is
7 inches long and grows about 1/5 inch each month. Trinity's hair is 10 inches long and
grows about 1/10 inch each month. How many months will it take for Caroline's hair to be
at least as long as Trinity's hair?*

Answers

Answer:

  7 +1/5x ≥ 10 +1/10x . . . . . lower left picture of those shown here

Step-by-step explanation:

Caroline's hair length in inches can be expressed as ...

  c = 7 + 1/5x . . . . after x months

Trinity's hair length in inches can be expressed as ...

  t = 10 + 1/10x . . . . after x months

When Caroline's hair is at least as long as Trinity's, we have ...

  [tex]c\ge t\\\\\boxed{7+\dfrac{1}{5}x\ge 10+\dfrac{1}{10}x}[/tex]

What is the distance of Point A (4-i) from the origin of the complex plane?


Square root of 15

15

Square root of 17

17

Please someone help I will rate 5 stars

Answers

Answer:

1st im not sure

.

.

.

.

.pls rate 5 stars

7. |-7) - 131 =
a. - 4
b. 4
C. 10
d. - 10​

Answers

Answer:

Step-by-step explanation:

If the question is - 7 - 131 = - 138

Three less than the product of a number and two

Answers

(2x +5) -3 i believe !! i hope this helps

what is the answer? pls help

Answers

Answer:

m = undefined

Step-by-step explanation:

m = 9 - 6 / 5 - 5

m = 3 / 0

m = undefined

Answer:

undefined

Step-by-step explanation:

Because x is constantly 5, it is a straight line going up and down. This type of graph has an undefined slope.

5.104 greater or less than 5.41

Answers

First one greater hope This helps

a rectangular prism has its length as 6cm, breath 5cm and height 9cm. find the volume​

Answers

Answer:

270

Step-by-step explanation:

Volume of rectangular prism = length x width x height

6 x 9 x 5= 270

who wants my girl? if yes put it down​

Answers

Answer:

Already stole herrrrrr ahahah

Step-by-step explanation:

Answer:

nah good luck tho hahaha

What number has a place value of 6 that is 100 times the place value of 6 in 2,386? 0 14.06 O 76,504 O 2.486 0 14,693​

Answers

Answer:

It is D

Step-by-step explanation:

multiply 6  by 100 do it alone it should look like 6*100=600 then you look at your choices and pick whichever one has 6 in the hundreths place.

Glad I could help.....Please name me brainliest!!!!

Five added to six times
a number w is the same
as the quotient of 32
and w.

Answers

Answer:

6w + 5 = 32/w

Step-by-step explanation:

6 times w = 6w

add 5 = 6w + 5

quotient = division = 32/w

6. You earn 8% commission on sales. What is the commission if the sales
were as follows. 4 items at $1200,7 items at $650; 7 items at $600, and 6
items at $450? (no commas)*

Answers

Answer:

The total commission is=$1300

Step-by-step explanation:

The commission rate is a fixed number that applies to all the sales made by a salesperson. In our problem, the fixed commission rate is 8%, and the sales were as follows:

4 items at $1200 for a total of $4800. The commission is:

8% of 4800 = 0.08*4800 = $384

7 items at $650 for a total of $4550. The commission is:

8% of 4550 = 0.08*4550 = $364

7 items at $600 for a total of $4200. The commission is:

8% of 4200 = 0.08*4200 = $336

6  items at $450 for a total of $2700. The commission is:

8% of 2700 = 0.08*2700 = $216

The total commission is: $384+$364+$336+$216=$1300

The total commission is=$1300

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