6.
Find the area of a rectangle with
length 2x - 7 and width 3x +4.

Answers

Answer 1

Answer:

[tex]A=6x^{2} -13x-28[/tex]

Step-by-step explanation:

A=L(W)

A=2x-7(3x+4)

Use distributive property

[tex]A=6x^{2} +8x-21x-28[/tex]

Combine like terms

[tex]A=6x^{2} -13x-28[/tex]

Answer 2
A= 6x-13x-28
There u go!!

Related Questions

Molly has 3 pounds of blueberries. She is freezing the berries into 1 half pound portions. How many smaller portions of blueberries will Molly make

Answers

6 smaller portions because 3 x 2=6

Answer:

6 smaller portions

Step-by-step explanation:

1 pound (lb) = 16 ounces (oz)

3 lbs = 48 oz

1/2lb = 8oz

48oz (total)/8oz (amount in each portion) = 6 portions

What is the answer to 11(3x + 5y)

Answers

Answer:

33x + 55y

Step-by-step explanation:

1. To simplify this expression, we have to apply the distributive property. To utilize this property means to distribute (or multiply) the quantity outside the parentheses by the quantities inside the parentheses.

[tex]11(3x+5y)[/tex] [tex](11)(3x)+(11)(5y)[/tex] [tex]33x + 55y[/tex]

Therefore, the answer is 33x + 55y.

Distribute 11 to 3x and 5y
33x+55y

Solve the equation x2-81 = 0.

Answers

Answer:

40.5

Step-by-step explanation:

x2 - 81 = 0 --> + 81 to both sides

2x = 81 --> divide by 2 on both sides

x = 40.5

Answer:

2x-81=0

2x=0+81

2x=81

x=81

2

x=40.5 ANSWER.

MARK ME AS A BRAINLIST PLZ.

What is -(x + 4) - 3x = x in Distributive property?

Answers

Answer:

x = -4/5

Step-by-step explanation:

Original equation: -(x+4)-3x=x

Remember distributive property allows us to get rid of the parenthesis by bringing a multiplication from outside to inside a parenthesis.

-(x+4) = -x-4

= -x-4-3x=x

Now we combine like terms in this case we have (-x) and (-3x)

= -4x-4=x

Subtract x from both sides

= -4x-4=x

  -x      -x

----------------

 -5x-4=0

Add 4 to both sides

-5x-4=0

    +4 +4

---------------

-5x=4

Our final step is to divide both sides by -5

-5x=4

----  ----

-5    -5

x = -4/5

Hope this helps!!!

Is the statement “The absolute value of a number is always greater than its opposite” true?

Answers

Answer:

No; the absolute value of a negative number is equal to its opposite

Step-by-step explanation:

HELP
In order to isolate the variable term in the equation 6 -2x = -3 using the subtraction property of equality, which number
should be subtracted from both sides of the equation?
-3
3
6
-2

Answers

6 should be subtracted from both sides of the equation if you want to isolate variable term


Your last 4 test scores are 65, 70, 80 and
70. If you want to finish with a 74
average, what do you need to get on your
fifth test?

Answers

Answer:

Step-by-step explanation:

74*5 = 370

370 - 65 - 70 -70 -80 = 85

So. you need to get 85 on your fifth test.

show that P(x)=x³-6x²+11x-6 is divisible by x-1.​

Answers

HERE IS YOUR ANSWER MATE

HOPE ITS HELPFUL

HAVE A GREAT FUTURE

LOVE FROM INDIA

Hello haohaoxNienie!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

[tex] \huge \boxed{\mathfrak{Explanation} \downarrow}[/tex]

To show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1, we must divide the polynomial by x - 1. If we get the remainder as 0, then we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

So, let's do the division (steps in the attached picture).

__________________

We got the remainder as 0. So, yes p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

More steps :-

x² - 5x + 6

= (x - 3) (x - 2) [use the splitting the middle term method].

So, the zeroes are,

(x - 3)

x - 3 = 0

x = 3 ⇨ 1st zero.

(x - 2)

x - 2 = 0

x = 2 ⇨ 2nd zero.

Now, use the values of x on the equation. If we get 0 as the solution of the equation then we can prove that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

p(x) = x³ - 6x² + 11x - 6

p(3) = 3³ - 6(3)² + 11 (3) - 6

p(3) = 27 - 54 + 33 - 6

p(3) = 0.

p(x) = x³ - 6x² + 11x - 6

p(2) = 2³ - 6(2)² + 11 (2) - 6

p(2) = 8 - 24 + 22 - 6

p(2) = 0

Since we got the solutions as 0 we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

Hope it'll help you!

ℓu¢αzz ッ

The functions j(x)=x−1 and k(x)=3x+1 intersect at:
A. Infinitely many points
B. 2 points
C. 1 point
D. There are no intersection points

Answers

Answer:

C

Step-by-step explanation: for j(x) = k(x)

My English is not good, please forgive me

the profit per gallon of lemonade you sell is 5.00. you have enough supplies to make 12 gallons of lemonade describe the domain and range using inequalities

Answers

Answer:

5/12 is your answer

=^-^=


- How are the functions y = x and y = x + 4 related? How are their graphs related?

Answers

Answer:

Either horizontal translation 4 units to the left or vertical translation UP 4 units

Step-by-step explanation:

Solve:
4x + 1.21 > 5
HELP ME PLEASE

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]x > 0.9475[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]4x + 1.21 > 5\\\rule{150}{0.5}\\\rightarrow 4x + 1.21 - 1.21 > 5 - 1.21\\\\\rightarrow 4x > 3.79\\\\\rightarrow \frac{4x>3.79}4}\\\\\rightarrow \boxed{x > 0.9475}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

When using empirical data (data and information collected by scientists in an experiment), sometimes, that data will not form a perfect line on a graph. When this happens, the line that is created using a linear regression is known as the “Line of Best Fit.” The following speed data was collected from a car moving with a constant acceleration.

Time (s) Velocity (m/s)
2 13.1
4 19.8
6 28.1
8 34.6
What is the Line of Best Fit for this data? Perform a linear Regression on this table to find the equation.

Based on your equation, what was the car’s approximate initial velocity (at time=0)?

If the car continued at the same acceleration (meaning the slope of the line does not change), how fast would it be going in 15 seconds?

Answers

Answer:

98.25

Step-by-step explanation:

What is 45% of 345? Please help me I’m failing math

Answers

Answer:

155.25

Step-by-step explanation:

Answer:

155.25

Step-by-step explanation:

Since 45% is equal to 0.45, simply multiply 0.45 x 345 and youll get 155.25

I need help with my math homework
2/3x+17≥29

Answers

Answer:

x ≥ 18

Step-by-step explanation:

Given the inequality statement, 2/3x + 17 ≥ 29,

Subtract both sides by 17:

2/3x + 17 - 17 ≥ 29 - 17

2/3x  ≥ 12

Multiply both sides by 3/2 to isolate x:

[tex](\frac{3}{2}) \frac{2}{3}x \geq 12 (\frac{3}{2})[/tex]

x ≥ 18

an artist spent 3/5 of an hour painting 1/4 of a mural. how kuch of the mural will be completed in one hour how long will it take to complete one mural

Answers

Answer:

2.4hrs or 2hrs 24 minutes

Step-by-step explanation:

3/5 × 4/1 = 12/5

60÷5=12

12×12=144

144÷60=2.4hrs

20% of the tickets sold at a water park were child tickets. If the park sold 50 tickets in all,
how many child tickets did it sell?
tickets

Answers

Answer:

= 10 tickets

Step-by-step explanation:

= 20% × 50

= 20/100 × 50

= 1000/100

= 10

I need help ASAP!!! (please look at the image and explain how you got the answer, please and thanks)

Answers

Answer:

114

Step-by-step explanation:

so lets call shelf 1 x

shelf 2 is twice size + 18 of shelf 1 so it is 2(x)+18

shelf 3 is 12 less than shelf 1 so x-12

shelf 4 is four more so x+4

Add them all together and it should be 5x+10= 2.5 m or 250 cm

Solve for x using cm

then plug into shelf 2 equation

EMMA CHNAGED £500 INTO RAND BEFORE GOING ON HOLIDY TO SOUTH AFRICA THE RATE OF EXCHANGE AT THE TIME WAS £1=10-RAND.HOW MANY RAND DID HE GET FOR HIS £500?

Answers

Answer:

he got 5000 rands for it

Step-by-step explanation:

you multiply it

500 x 10 = 5000

Simplify each of the following:
a. √5+2√6 + √5-2√6
b.(√p^2+1 - √p^2-1) (√p^2-1 + √p^2+1)

Answers

2√5 exact form

4.47213595 decimal form

find the sum of 5(−3.4k−7)+(3k+21) I AM SO CONFUSED!!!!!

Answers

Answer:

Your answer is   -14k - 14   or     k = -1

Step-by-step explanation:

-17k - 35 + 3k + 21   ( Combine like terms )

-14k - 14

-14k = 14

k = -1

Hope this helps!

PLEASE HELP WILL MARK BRAINLIEST!

Answers

Answer:

P of rectangle = 2(L + W)

21 units = 2(n units + W)

21 units = 2nunits + 2W

21 = 2n + 2W

2W = 21 - 2n

W = 21 - 2n units.

2

on simplifying

10.5 - n units

The width of the rectangle is units (10.5 - n) units.

10 greater than less than, or equal to 5? Explain ​

Answers

Answer:

greater than because 10 is further to the right on a numberline than 5

Step-by-step explanation:

i think this is easy for yall but nor for me lol need help

Answers

Answer:

x = 14

Step-by-step explanation:

So because the sides are equal, that means that the angles are equal.

5x = 3x + 28

Step 1.) Subtract 3x from 5x which leaves you with 2x.

2x = 28

Step 2.) Divide 28 by 2, to get the variable on its own. This leaves you with 14

x = 14

A bottle of grape juice costs 6.50$ of you buy 6 bottles you can get 10%discount workout how much you save if you buy 6 bottles

Answers

$6.50 x 6 = $39 but buying six hives a 10% discount which would be $3.90 OFF
$39-3.90= $35.10
Your answer is you save $3.90 by buying six bottles

3 ft
10 ft
Perimeter:
Area:

Answers

Step-by-step explanation:

The area = 3 × 10 = 30

The perimeter = 2(3 + 10) = 26

please give me a brainliest answer

If 40 meters of a cloth costs Rs 1940 how many meters can be bought for Rs 727.5




Plz explain

Answers

Answer:

15

Step-by-step explanation:

suppose x is the no. of cloth that can be bought in rs 727.5

then cost of 1meter cloth is rs 727.5×.....(i)

and cost of 40mtr cloth is rs 1940

then 1mtr cloth is 1940/40....(ii)

so from i and ii

we get

727.5/x = 1940/40

When Zack checked his solution, it didn’t work. What was his mistake?
In step 1, he should have used the multiplication property of equality.
In step 2, he should have a constant of – 4 on the right side.
In step 3, he should have divided both sides by StartFraction 6 Over 4 Endfraction.
In step 4, the answer should be positive.

Answers

Answer: its c In step 3, he should have divided both sides by  StartFraction 6 Over 4 Endfraction.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

guys pls help me!!!!!!

Answers

Answer:

[tex]x = 67[/tex]

Step-by-step explanation:

[tex]x = 67[/tex]

[tex]Alternate \:Intrerior \: Angles[/tex]

What are the values of v and w ?

Answers

Answer:

V = 72 & W = 72

Step-by-step explanation:

All angles of a triangle will be equivalent to 180 degrees.

We start by subtracting first.

180 - 36 = 144

Look back at the triangle. FG and HG are congruent, which means the values of V and W will be the same.

The last step is to divide.

144 / 2 = 72

V = 72 & W = 72

Other Questions
please help I will mark brainiest Pleaseeeeee i need this Where is the Catrina parade? How does Thoreaus style contribute to the meaning of the text?Select the two correct answers.A. Thoreau encourages people to renew their dedication to their faith and to pious living by stating, "I got up early and bathed in the pond; that was a religious exercise, and one of the best things which I did."B. Thoreau asserts that morning is when people are most aware and open to growth with lines like "Then there is least somnolence in us; and for an hour, at least, some part of us awakes which slumbers all the rest of the day and night."C. The allusion "the bathing tub of King Tching-thang to this effect: 'Renew thyself completely each day; do it again, and again, and forever again'" emphasizes the mundane routine that comes with everyday life.D. The allusion "I have been as sincere a worshipper of Aurora as the Greeks" emphasizes that every morning is an opportunity for spiritual renewal. excerpt from the Where I Lived and What I Lived For section of Walden by Henry David ThoreauEvery morning was a cheerful invitation to make my life of equal simplicity, and I may say innocence, with Nature herself. I have been as sincere a worshipper of Aurora as the Greeks. I got up early and bathed in the pond; that was a religious exercise, and one of the best things which I did. They say that characters were engraven on the bathing tub of King Tching-thang to this effect: Renew thyself completely each day; do it again, and again, and forever again. I can understand that. Morning brings back the heroic ages. I was as much affected by the faint burn of a mosquito making its invisible and unimaginable tour through my apartment at earliest dawn, when I was sitting with door and windows open, as I could be by any trumpet that ever sang of fame. It was Homers requiem; itself an Iliad and Odyssey in the air, singing its own wrath and wanderings. There was something cosmical about it; a standing advertisement, till forbidden, of the everlasting vigor and fertility of the world. The morning, which is the most memorable season of the day, is the awakening hour. Then there is least somnolence in us; and for an hour, at least, some part of us awakes which slumbers all the rest of the day and night. ano mahahalagang naimbag ng kabihasnang roman sa daigdig Find the cube of the number 50 The vapor pressure of a liquid at a given temperature is measured when the rate of evaporation of a liquid becomes Bramble Corp. is planning to sell 200 buckets and produce 880 buckets during March. Each bucket requires 100 grams of plastic and one-half hour of direct labor. Plastic costs $ 10 per 100 grams and employees of the company are paid $ 18 per hour. Manufacturing overhead is applied at a rate of 110% of direct labor costs. Bramble has 1000 kilos of plastic in beginning inventory and wants to have 1000 kilos in ending inventory. How much is the total amount of budgeted direct labor for March Where does the energy from and where does it end up? Help me please this is due please help if you were given $ 1000, what would you do with it? how would you spend it? please write at least 3 full sentences for credit. please help!! will mark brainliest Why are occupants of the international space station weightless? Determine if the equations are intersecting, parallel, or coincident.-2 +y = 8- 3x + 4y = 28intersectingcoincidentparallel Help me with the question in the image its geometry which skin cancer arises from the youngest epidermal cells In 2006, President George W. Bush ordered the formation of military tribunals toprosecute suspected terrorists held at Guantanamo Bay. This example might beseen as an example of which approach to the presidency? which sentence contains the strongest example of imagery? it was a cold and windy night. the sky was dark and empty. stars shimmered in the sky like a sea of tiny candles. i felt very alone as i looked out at the night and shivered. Short note on : Sustainable harvesting on herbal plants What was the biggest tornado?El RenoTri-stateDaulatpur-SaturiaThe Tupelo tornado