In a rectangle, the sides have measurements of 2x + 1 and 3x - 5 units Find an expression for the area of the rectangle, in square units.​

Answers

Answer 1

Answer:

[tex] (6 {x}^{2} - 7x - 5) \: {units}^{2} [/tex]

Step-by-step explanation:

Area of rectangle = Product of sides

[tex] = (2x + 1) \times (3x - 5) \\ = 2x(3x - 5) + 1(3x - 5) \\ = 6 {x}^{2} - 10x + 3x - 5 \\ area \: of \: rectangle \: \\ = (6 {x}^{2} - 7x - 5) \: {units}^{2} [/tex]


Related Questions

The Grayson family got a new backyard swimming pool. When they tell their friends how much water it holds, they round the number to 51{,}10051,10051, comma, 100 liters. Which could be the amount of water in the pool if they rounded the number of liters to the nearest hundred?

Answers

The amount of water rounded to the nearest hundred should be 100 liters.

Calculation of the amount of water:

Since The Grayson family got a new backyard swimming pool. When they tell their friends how much water it holds, they round the number to 51{,}10051,10051, comma, 100 liters.

So based on this, if there is 51 liters so it should be rounded to 100 liters

Therefore, we can conclude that The amount of water rounded to the nearest hundred should be 100 liters.

Learn more about water here: https://brainly.com/question/18935052

Hi
pls answer




Nidhi is reading a moral value-based book that contains 99,09,465 pages. She has read 13,20,000 pages. About how many pages are unread? What is Nidhi’s hobby according to this question?​

Answers

Answer:

8589465 pages are unread

Step-by-step explanation:

nidhi's hobby is reading moral value books

plz mark as brainliest if it helps

Answer:

8589465 unread pages

Step-by-step explanation:

1,848/1,386 As a fraction

Answers

are you looking to reduce this fraction? if so it would be 4/3. hope this helps!

Answer:

1.3 The 3 goes on continuonsly

Step-by-step explanation:

Solve for x. 1/4x+8>11

Answers

Answer:

x > 12

Step-by-step explanation:

Step 1: Subtract 8 from both sides

[tex]\frac{1}{4}x[/tex] + 8 - 8 > 11 − 8

[tex]\frac{1}{4}x[/tex] > 3

Step 2: Multiply both sides by 4.

(4) ([tex]\frac{1}{4}x[/tex]) > (4) (3)

x > 12

Hope it helps

Factorise 7x² + 14xy - 21xyz (SHOW STEPS)

Answers

Answer:

[tex]7x(x+2y-3yz)[/tex]

Step-by-step explanation:

First we find the greatest common factor of the coefficients, 7, 14 and 21.

The greatest common factor is 7.

Factor 7 out and divide the terms by 7:

[tex]7x^2+14xy-21xyz=7(x^2+2xy-3xyz)[/tex]

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

Next, we find the greatest common factor of [tex]x^2,xy[/tex] and [tex]xyz[/tex].

The greatest common factor is x.

Factor x out and divide the terms by x:

[tex]7(x^2+2xy-3xyz)=7x(x+2y-3yz)[/tex]

How many inches tall is a 7 foot basketball player?

Answers

Answer:  84

Step-by-step explanation: 7 Times 12 because each foot is 12 inches

Answer:

1 foot = 12 inches

7 foot = ?

7 * 12 = 84

Step-by-step explanation:

1 foot is 12 inches so to convert 7 foot to inches we need to multiply it with 12



Please help
Angle 1 and Angle 2 are complementary
The m/_1=(2x) and m/_2=(3x+5)
Find the measure of angle 2

Answers

Answer:

56°

Step-by-step explanation:

2x+3x+5=90

5x=90-5

5x=85

x=85÷5

x=17

m<2=3x+5=3(17)+5=51+5=56

i need to find the area

Answers

Step-by-step explanation:

to find the area more easily, you can divide the figure.

make a small rectangle from the upper part (a 5×6 rectangle) then a square from the lower part (a 5×5 square).

now you have a small rectangle, a big rectangle and a square.

small rectangle: 5×6=30

big rectangle: 15×5=75

square:5×5=25

30+75+25=130

if anything is unclear, ask freely.

using the difference in perfect squares completely factor the binomial x^2-121

Answers

Answer:

unditified?

Step-by-step explanation:

please help me solve this problem

Answers

Answer:

its b

Step-by-step explanation:

Simplify
3xy + 5x + 2 + 3y + x +4

Answers

Answer:

3xy+6x+3y+6

Step-by-step explanation:

This it simplified not ANSWERED

Answer:

x = -1/2

Step-by-step explanation:

3xy + 5x + 2 + 3y + x +4  -> 3x + 5x + 2 + 3x + x + 4 = 0

We add all the numbers together, and all the variables

12x+6=0

We move all terms containing x to the left, all other terms to the right

12x=-6

x=-6/12

x=-1/2

(remember, there should only be one variable)

If the greatest common divisor is 18 What is the smallest common floor?

Answers

Answer:

lan ali ti cavâyi başi

》》》》》》》》》》》》》》》

turkiyedemisin laaa

The answer would be 6

3. Kerry goes to a gym and pays a $200
membership fee each year. She also
pays $40 for each class she enrolls in. If
she has spent $480. how many classes
has Kerry enrolled in?
how would i do this ?

Answers

Answer: 7 classes enrolled in

Step-by-step explanation:

200+40n=480

40n = 280

n = 7

Jose can read 7 pages of his book in 5minutes . At this rate how long will it take him to read the entire 175 page book.​

Answers

Answer:

It will take 125 minutes or 2 hours and 5 minutes.

Step-by-step explanation:

We can use a proportion.

7 pages is to 5 minutes as 175 pages is to x minutes

7 : 5 = 175 : x

7/5 = 175/x

7x = 5 * 175

7x = 875

x = 125

It will take 125 minutes or 2 hours and 5 minutes.

Which two binomials in part A didn't have an equivalent factored form? What made these expressions different from the three that you could factor?​

Answers

Answer:

The binomials 16x2 + 9 and x2 + 16 didn’t have an equivalent factored form. Both are sums of perfect squares instead of differences.

Step-by-step explanation:

Official answer

Item Quantity Unit Price The table shows the quantity and unit prices for the items Camillo bought Total cost for bread: Bread 25 loaves $1.95/loaf Total cost for peanut butter: Total cost for jelly: If he would have spent $986.50 without better-buy unit prices, how much money did he save? Peanut Butter 2,400 oz $0.16/oz Jelly 2,400 oz $0.08/oz Intro Done 9 of 9​

Answers

Answer:Total cost for bread:$48.75

Total cost for peanut butter:$384

Total cost for jelly:$192

Last step:$361.75

Step-by-step explanation:I just took an assignment and got all right.

Answer:

otal cost for bread:$48.75

Total cost for peanut butter:$384

Total cost for jelly:$192

Last step:$361.75

Step-by-step explanation:I just took an assignment and got all right.

Step-by-step explanation:

PLEASE SOLVE QUICKLY!

Answers

Answer:

angle xyb will measure 123 degrees.

Step-by-step explanation:

because we know that angle ayz is 57 degrees and angle xyz is 90, we find that angle xya measures 33 degrees by subtracting 57 from 90. then, we can find angle xyb by subtracting 33 from 180, getting 147 degrees. when we add 147, 33, and 57, we get 237 degrees. finally, we subtract 237 from 360 and get 123 degrees, our final angle. hope this helps:)

how do you solve (-5) + 4 and explain the steps using a number line (
mil

Answers

Answer:

-1

Step-by-step explanation:

Find the volume of the prism. Write the answer as a fraction in simplest form.

**EVERY PERSON WHO ANSWERS THIS WILL GET BRAINLIEST ANSWER!**

Answers

Answer:1 1/4

Step-by-step explanation:

if u add all together in decimals it will become 1.125.

pls give me brainless

What is the difference between 6x and x6 ?

Answers

Answer:

it depends

Step-by-step explanation:

if you mean

[tex]6x[/tex] and [tex]x^{6}[/tex]

the difference is that 6x is the same as

[tex]x+x+x+x+x+x[/tex]

and that [tex]x^{6}[/tex] is

[tex]x*x*x*x*x*x[/tex]

if you mean

[tex]6x[/tex] and [tex]x*6[/tex]

it's the same by the communatitive property of multiplication

The difference between two given expressions are 6x is six times x and x⁶ is x multiplied six times itself.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The two given expressions are 6x and x⁶.

6x is six times x

x⁶ is x multiplied six times itself, that is

x×x×x×x×x×x=x⁶

Therefore, the difference between two given expressions are 6x is six times x and x⁶ is x multiplied six times itself.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

How to make 4 1/5 as a decimal?

Answers

Answer:

4.2

Step-by-step explanation:

Because 1/5 has to be converted into the 100 as the denominator and the number you are supposed to have for the numerator so it can be easier and 4 is the whole number so it doesnt need to be in the equation.

1/5

X

20= 20/100  so now all you have to do is make that a decimal since it hasnt got to 100 or past it and you have your answer

if you can answer any of these please do and put the question number by the answer

Answers

Answer:

48: D ([tex]10u^3+4u^2-2u+10[/tex])

[tex]\left(4u^3+4u^2+2\right)+\left(6u^3-2u+8\right)[/tex]

Remove brackets:

[tex]4u^3+4u^2+2+6u^3-2u+8[/tex]

Group the similar terms together:

[tex]4u^3+6u^3+4u^2-2u+2+8[/tex]

Add/Subtract:

[tex]10u^3+4u^2-2u+10[/tex]

49: A. ([tex]2x\left(x^2+2x+4\right)[/tex])

[tex]2x^3+4x^2+8x[/tex]

Factor out 2x:

[tex]2x\left(x^2+2x+4\right)[/tex]

50: C. ([tex]8x^2+26x+15[/tex])

[tex]\left(4x+3\right)\left(2x+5\right)[/tex]

Use FOIL:

[tex]4x* \:2x+4x* \:5+3* \:2x+3* \:5[/tex]

[tex]8x^2+20x+6x+15[/tex]

[tex]8x^2+26x+15[/tex]

51:  B. ([tex]8n^3+6n^2-4n-20[/tex])

[tex]\left(2n^2+4n+4\right)\left(4n-5\right)[/tex]

Expand:

[tex]2n^2* \:4n+2n^2\left(-5\right)+4n* \:4n+4n\left(-5\right)+4* \:4n+4\left(-5\right)[/tex]

[tex]8n^3-10n^2+16n^2-20n+16n-20[/tex]

[tex]8n^3+6n^2-20n+16n-20[/tex]

[tex]8n^3+6n^2-4n-20[/tex]

52: D. [tex](d+9)(d+1)[/tex]

You can factor by grouping:

[tex]d^2+10d+9[/tex]

[tex]\left(d^2+d\right)+\left(9d+9\right)[/tex]

[tex]d\left(d+1\right)+9\left(d+1\right)[/tex]

[tex](d+9)(d+1)[/tex]

which of the following is not true about -4​
A. it's the number's distance from 0
B. it has the same value as 4
C. it is equal to 4
D it is equal to -4

Answers

A because it doesn’t matter if it’s far away from 0

F(b) = 4b^2 + 3b Find f(b)

Answers

Answer: =4(b+3/8)^2 -9/16


The answer is = b(4b+7) if you factor it

Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.50.
After one month, Paul bought 12 passes and spent a total of $25.00.
How much did he spend on the student discount card?
Paul spent $
on the student discount card.

Answers

Answer:

paul spent 18 on the discount card.

Step-by-step explanation:

1.50 x 12= 18

The coordinates of the midpoint of line GH are M(−132,−6) and the coordinates of one endpoint are G(−4, 1). The coordinates of the other endpoint are

Answers

Answer:

Since, the coordinates of the midpoint of line GH are M(\frac{-13}{2}, -6)(

2

−13

,−6) .

The coordinates of endpoint G are (-4,1)

We have to determine the coordinates of endpoint H.

The midpoint of the line segment joining the points (x_1, y_1)(x

1

,y

1

) and (x_2, y_2)(x

2

,y

2

) is given by the formula (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})(

2

x

1

+x

2

,

2

y

1

+y

2

) .

Here, The endpoint G is (-4,1) So, x_1 = -4 , y_1=1x

1

=−4,y

1

=1

Let the endpoint H be (x_2,y_2)(x

2

,y

2

)

The midpoint coordinate M is (\frac{-13}{2}, -6)(

2

−13

,−6) .

So, \frac{-13}{2} = \frac{-4+x_2}{2}

2

−13

=

2

−4+x

2

{-13} = {-4+x_2}−13=−4+x

2

{-13}+4 = {x_2}−13+4=x

2

{x_2}=9x

2

=9

Now, -6 = \frac{1+y_2}{2}−6=

2

1+y

2

-12 = {1+y_2}−12=1+y

2

y_2= -13y

2

=−13

So, the other endpoint H is (-9,-13).

The midpoint of AB is M(-1, –4). If the coordinates of A are (-3, -7), what are
the coordinates of B?

Answers

Answer:

           B(1, -1)

Step-by-step explanation:

If M(-1, 4) is midpoint of AB then:

[tex]x_M-x_A=x_B - x_M\qquad\quad\ \wedge\qquad y_M-y_A=y_B - y_M\\\\ -1-(-3)=x_B-(-1)\qquad\wedge\qquad -4-(-7)=y_B -(-4)\\\\ -1+3=x_B+1\qquad\qquad\wedge\qquad\ \ -4+7=y_B+4 \\\\ {}\qquad x_B=1\qquad\qquad\wedge\qquad\qquad \ y_B=-1[/tex]

Write the equation with both x = 8 and x = -8 as solutions. please answer fast it’s 8th grade math <3

Answers

Answer:

7 + x + x= 7

Step-by-step explanation:

(7+8) + -8 = 7

A college book store marks up the price that is pays the publisher for a book by 35%. If the selling price of a book is $56.00, how much did the bookstore pay for this book

Answers

Answer:

$41.48

Step-by-step explanation:

From the information given, you know that the price that the bookstore pays for a book is marked up 35% and that the selling price of a book is $56, so to be able to find the amount that the bookstore paid for a specific book, you can write the following equation:

x+0.35x=56, where x is the price the bookstore paid for the book.

Now you can solve for x:

1.35x=56

x=56/1.35

x=41.48

According to this, the bookstore paid $41.48 for this book.

[tex]3/4x+3-2x = -1/4+1/2x+5[/tex]

Answers

Answer:

x = -1

Explanation:
Answer: x=-1


3/4X +3-2X = 19/4+1/2X
-5X +12 = 19+ 2X
-5X -12 X = 19-12
-5X-2X=19-12
-7X = 7x=-1
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