Bradley wants to build a shop in his backyard. He knows the shop will be a rectangular shaped building. He wants the length of the shop to be the expression of 3x + 23 and the width to be 2x + 17. Write a trinomial that would represent the area of the shop. Show your work

Answers

Answer 1

Answer:

A = 6x² + 97x + 391

Step-by-step explanation:

Given that,

The length of the shop, l = (3x+23)

The width of the shop, b = (2x+17)

The expression for the area of the shop is given by :

A = lb

Put all the values,

A = (3x+23) × (2x+17)

= 6x² +51x+46x +391

= 6x² + 97x + 391

Hence, the expression for the area of the shop is equal to 6x² + 97x + 391.


Related Questions

Find the value of x. Write your answer in simplest form.

Answers

Answer:

X=8

Step-by-step explanation:

[tex](8 \sqrt{2} ) ^{2} = {x}^{2} + {x}^{2} \\ 128 = 2 {x}^{2} \\ {x}^{2} = \frac{128}{2} \\ {x}^{2} = 64 \\ x = 8[/tex]

help!!! find the missing side, round to the nearest tenth

Answers

Answer:

D

Comment if you need step by step. I assumed you needed it fast

NO LINKS OR I WILL REPORT

Noelle and Gina have a combined height of 130 inches. Noelle is 4 inches taller than Gina. Let n stand for Noelle's height. How tall is each girl?
Gina's height in inches:______________________
Noelle's height in inches:_______________________

Equation:____________________________

Answers

Answer:

Gina's height in inches: 63 inches

Noelle's height in inches: 67 inches

Equation: n + (n - 4) = 130

Step-by-step explanation:

n + (n - 4) = 130

n + n - 4 = 130

2n - 4 = 130

2n - 4 + 4 = 130 + 4

2n = 134

2n ÷ 2 = 134 ÷ 2

n = 67

67 - 4 = 63

Greatest common factor for 30w, 42w^2, 6w^5

Answers

Answer:

6 w

 

Explanation:

Question: "What is the GCF of 30, 42, and 12?

You may ask, "How did you get the answer?"

1) Let's list out the factors of 30, 42, and 12.

30 - 1, 2, 3, 5, 6, 10, 15, 30

42 - 1, 2, 3, 6, 7, 14, 21, 42

12 - 1, 2, 3, 4, 6, 12

What are the common numbers from the list?

1, 2, 3, 6

What is the greatest number from the list of the common numbers?

6

Now let's separate the variables and find the common factor of the variables.

Variables:  

w 2 ,  w 4 ,  w * w

can also be thought of as  w 1 .

Since  

w

is the lowest powered variable and all of the other ones are greater than that. Then it means that the common factor of the variables is  

w .

Answer:

6

Step-by-step explanation: You may ask, "How did you get the answer?"

1) Let's list out the factors of 30, 42, and 12.

30 - 1, 2, 3, 5, 6, 10, 15, 30

42 - 1, 2, 3, 6, 7, 14, 21, 42

12 - 1, 2, 3, 4, 6, 12

What are the common numbers from the list?

1, 2, 3, 6

What is the greatest number from the list of the common numbers?

6

Now let's separate the variables and find the common factor of the variables.

Variables: w2 , w4, w*w can also be thought of as w1.

Since w is the lowest powered variable and all of the other ones are greater than that. Then it means that the common factor of the variables is

w.

Let's combine what we've found out now!

The GCF of the integers is 6 and the common factor of the variables is

w

. Therefore, the GCF is 6w!

Write an equation of the line that passes
through (0, – 5) and is perpendicular to
the line y= - 4/5x

Answers

Answer:

[tex]y = \frac{5}{4} x - 5[/tex]

Find the sum of the first 6 terms of the following series, to the nearest integer.
11, 22, 44,...

Answers

Answer:

693

Step-by-step explanation:

11, 22, 44, 88, 176, 352

11 + 22 + 44 + 88 + 176 +352 = 693

1. Shaded area is 14 cm. Find r to the nearest 0.01 cm.

Answers

Answer:

Step-by-step explanation:

Area of the quarter circle = 1/4 pi * r^2

Area of the quarter circle = 1/4 * 3.14 * r^2

Area of the triangle = 1/2 r * r = 1/2 r^2

Equation of Solution

1/4 3.14 * r^2 = 14 cm^2 + 1/2 * r^2                    Subtract 1/2 r^2 from both sides

0.785 r^2 - 0.5 r^2 = 14 cm^2                           Combine the left

0.285 r^2  = 14. cm^2                                        Divide by 0.285

r^2 = 14/0.285

r^2 = 49.1228                                                     Take the square root of both sides

sqrt(r^2) = sqrt(49.1228)

r = 7.01

Bro do I do not know anything of this

Please i need help, I give brainlist!

What is the value of x in this figure?

Enter your answer in the box.

x =

Answers

Answer:

it's gonna be the same 114 degrees

Does anyone know what this is :

x + 2 = 3

Answers

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

x + 2 = 3

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 2 on both sides:                        x = 1

Answer:

X=1

Step-by-step explanation:

x+2=3

PEMDAS= Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.

X+2=3

X=3-2

X=1

70. Dominic buys a new suit that is on sale for 20% off
the original price, and he
uses a coupon to get an
additional 20% off. Not including sales tax, what
percent of the original price of the suit did
Dominic pay?
E. 36%
F.40%
G. 60%
H. 64%

Answers

Answer:

H

Step-by-step explanation:

[tex]0.8 \times 0.8 = 0.64[/tex]

help pls i need help now

Answers

Answer:

866

Step-by-step explanation:

     866

          4

x______

    3464


Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

πr²= 12.56

r²=12.56/3.14 = 4

r= 2

therefore , diameter = 2r = 2×2= 4 mm

Correct ^^^^^^^^^^^^^^

Jason puts $500 in an account that pays 3% simple interest for 2 years. Calculate the amount of interest he earned after two years.

Answers

$30

that is the working above

Use square roots to solve the following quadratic equation.
Write your answers from least to greatest with a comma and
space separating each answer. For example: 4,9
m2 - 4 = 77

Answers

M^2=77+4
M^2=81
Square root of M= square root of 81
M=+ or - 9
M=-9,9

Re uploaded the pic. Please help

Answers

Answer:

It would.

Step-by-step explanation:

Give me a brainiest answer please and thanks sir!

Answer:

the second one

Step-by-step explanation:

if you want to find the outlier just search it up

what is the sum of 7,3,-3,23

Answers

Answer:

30

Step-by-step explanation:

7+3=10-3=7+23=30

I checked on Siri it’s 30

what is 2.6234 rounded to 2 SF?

Answers

Answer:

2.6

Step-by-step explanation:

2.6234

We round to the tens place

Look  at the hundreds place

2.62 Since the 2 is less than 5, we leave the 6 alone

2.6

Answer:

2.6

Step-by-step explanation:

2.6234

Round to 100 place

= 2.62

Now, round it to tenth place

= 2.6

Find the value of x :)

Answers

Answer:

65

Step-by-step explanation:

130+75+90+x=360

x=65

To prepare for a party, Mark buys a small bunch of balloons for $4.00 and
gift bags that cost $3.85 each. He spends a total of $61.75 on the balloons
and a gift bag for each person invited to the party. Write and solve an
equation to find x, the number of people Mark invited to the party.

Answers

Answer:

15

Step-by-step explanation:

4+3.85x=61.75

3.85x=57.75

x=15

NEED QUICKLY
Write the equation of the line shown below?

Answers

y = x + 2

Step-by-step explanation:

General formula for any straight line:

y = mx + c

Where

m = gradient

c = constant

m = y2 - y1/x2 - x1

m = (4 - ( -2))/(2 - ( -4))

m = 6/6

m = 1

y = (1)x + c

y = x + c

Substitute any coordinate from the line of the equation.

4 = 2 + c

c = 2

substitute m and c into general formula

y = mx + c

y = x + 2

Answer:

Equation  is : y = x + 2

Step-by-step explanation:

To find the equation of the we need two points through which the line passes.

Let it be (2 , 4) and ( -4 , - 2)

The standard equation of line is : y = mx + b , where m is the slope, b is the

y-intercept.

Step 1 : Find the slope, m

 [tex]slope , m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]                 [tex][ \ where \ (x_1, y _ 1 ) = ( 2 , 4 ) \ , \ (x_2 , y_ 2 ) = ( -4, -2 ) \ ][/tex]

         [tex]m = \frac{-2-4}{-4-2}\\\\ = \frac{-6}{-6}\\\\ = 1[/tex]

Step 2 : Find the equation of the line.

     [tex]( y - y_1) = m(x- x_1)\\\\(y - 4) = 1 ( x - 2)\\\\y - 4 = x - 2 \\\\y = x - 2 + 4 \\\\y = x + 2[/tex]

Question on image.

will report answers out of question. Thank you

Answers

Answer:

84°

Step-by-step explanation:

< DEB = ½× (31+ 137) = ½× (168) = 84°

A cup has 438 grams of sand a bucket has 2120 grams of sand how many more grams of sand are in a bucket then a cup

Answers

Answer:

1682

Step-by-step explanation:

2120 grams of sand in bucket - 438 grams of sand in cup = 1682 :)

Answer:1682

Step-by-step explanation:

The scale on the map indicates 1 inch= 150 miles. The distance from Philadelphia to Miami is 1200 miles. on the map, how far apart are Philadelphia and Miami?

Answers

9514 1404 393

Answer:

  8 in

Step-by-step explanation:

  (1200 mi)×(1 in)/(150 mi) = (1200/150) in = 8 in

The cities are 8 inches apart on the map.

_____

Additional comments

You can think of it as a units conversion problem (as above), or as a proportion:

  (map distance)/(1200 mi) = (1 in)/(150 mi)

  map distance = (1200 mi)(1 in)/(150 mi) = 1200/150 in = 8 in

__

When doing units conversion, you multiply by a scale factor that has units you want in the numerator, and units you want to cancel in the denominator. The numerator and the denominator have the same value, so multiplying by that fraction changes the units but not the value. Here, 1 in = 150 mi, so (1 in)/(150 mi) ≡ 1.

FACTOR the following quadratic expression: x^2-3x-18. Clearly show your steps OR explain your reasoning and CHECK your answer by multiplying to get back to the starting expression. A correct answer without a CHECK and work/ explanation will NOT receive full credit! NOTE: Press and hold the SHIFT button and press 6 to make the "^" exponent symbol. Someone plz help its doe in 10 min

Answers

Answer:

The factors of x² - 3·x - 18, are;

(x - 6), (x + 3)

Step-by-step explanation:

The given quadratic expression is presented as follows;

x² - 3·x - 18

To factorize the given expression, we look for two numbers, which are the constant terms in the factors, such that the sum of the numbers is -3, while the product of the numbers is -18

By examination, we have the numbers -6, and 3, which gives;

-6 + 3 = -3

-6 × 3 = -18

Therefore, we can write;

x² - 3·x - 18 = (x - 6) × (x + 3)

Which gives;

(x - 6) × (x + 3) = x² + 3·x - 6·x - 18 = x² - 3·x - 18

Therefore, the factors of the expression, x² - 3·x - 18, are (x - 6) and (x + 3)

what are all of the steps to get 7(3x-1)-(x+5)

Answers

Answer:

20x-12

Step-by-step explanation:

Given:

7(3x−1)−(x+5)

Step 1: Distribute the Negative Sign:

=7(3x−1)+−1(x+5)

=7(3x−1)+−1x+(−1)(5)

=7(3x−1)+−x+−5

Step 2: Distribute:

=(7)(3x)+(7)(−1)+−x+−5

=21x+−7+−x+−5

Step 3: Combine  

=21x+−7+−x+−5

=(21x+−x)+(−7+−5)

=20x+−12

Answer:

Check description

Step-by-step explanation:

Remember, P.E.M.D.A.S. Parenthesis first so 3x-1 and x+5. Not given enough information, I cannot give you the correct answer so instead, I will give you the equations you will have to do and these are not all in the order of what you have to do, but most of them are. Just follow P.E.M.D.A.S. if you know what to do. (I will put letters as answers)

step 1: (3x-1)

3 times x = Q

Q minus 1 = P

step 2: (x+5)

x plus 5 = E

step 3: 7xP

7 times P = W(The one from step 1)

step 4: W-E

W-E= A

Pearl bought 45 lbs of clay for her art projects. She used 15.8 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Pearl make if she had 17.68 lbs of clay left over?

Answers

Answer:

16 mugs

Step-by-step explanation:

Total clay bought = 45 lbs

Clay used for sculpture = 15.8 lbs

Clay left over = 17.68 lbs

Clay used for each mug = 0.72 lbs

Number of mug = x

Total clay bought = Clay used for sculpture + Clay left over + (Clay used for each mug * Number of mug)

45 = 15.8 + 17.68 + (0.72 * x)

45 = 33.48 + 0.72x

45 - 33.48 = 0.72x

11.52 = 0.72x

x = 11.52/0.72

x = 16

Number of mug = x = 16 mugs

what is the degree of rotation for the following figure

Answers

Answer:

all of the angles are obtuse so 120 is your awnser

What is the surface area of the right rectangular prism?

Answers

Answer:

Hello! answer: 250

Step-by-step explanation:

10 × 5 = 50

10 × 5 = 50

10 × 5 = 50

10 × 5 = 50

5 × 5 = 25

5 × 5 = 25

50 × 4 = 200

200 + 25 + 25 = 250 the total surface area is 250 hope that helps!

plzzz help asapppppppppp

Answers

Arithmetic

The answer is C.

Use the first two days as a scenario.

1.5-0.75=0.75

Meaning, C is the answer.

Yooo can somebody pls help I’ve been stuck on this for hrs, I’ll give you 10 or 20 points!

Answers

Answer:

Step-by-step explanation:

I have no idea how to do the diagrams.

X-intercepts are the ROOTS!

(x+7)(x+3)

x = -7,-3

Y-intercept is just when x ='s 0 lol

y inter = 21

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