Write a polynomial to represent the larger rectangle and the smaller rectangle.

Write A Polynomial To Represent The Larger Rectangle And The Smaller Rectangle.

Answers

Answer 1

Answer:

See answers below.

Step-by-step explanation:

Large Rectangle:  length x width = (x + 3)(x - 4) =

                                        x² - 4x + 3x - 12

                                           x² - x - 12

Smaller Rectangle:  length x width = (x)(3) = 3x

Shaded Region: shaded area =  lg. rectangle minus small rectangle

                             A = (x² - x - 12) - 3x  

                             A = x² - 4x - 12

Solve for x, if shaded reion's area is 48 square units:      

                          48 = x² - 4x - 12

                                  x² - 4x - 12 -48 = 0

                                  x² - 4x - 60 = 0

                                  (x - 10)(x + 6) = 0

                                   x - 10 = 0   or   x + 6 = 0

                                   x = 10    or    x = -6

                                               But x represents a length, so x cannot be -6.

                                  x = 10

                                     


Related Questions

Please help!!!!!
I took an picture of the question

Answers

Answer:

6

Step-by-step explanation:

Remember f(x) or g(x) in this case is like saying 'y' so when y = 0 x = 6

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=67°, and FD = 7.4 feet. Find the length of EF to the nearest tenth of a foot.

Answers

Answer:

14.2 ft

Step-by-step explanation:

tan 66° = 32/ FD

FD = 32 / tan 66° = 32 / 2.246 = 14.2

hope it helped you

Answer:

17.4

Step-by-step explanation:

\tan D = \frac{\text{opposite}}{\text{adjacent}}=\frac{x}{7.4}

tanD=

adjacent

opposite

=

7.4

x

\tan 67=\frac{x}{7.4}

tan67=

7.4

x

7.4\tan 67=x

7.4tan67=x

Type into calculator and round to the nearest tenth of a foot.


please i will mark you brill help me

Answers

Answer:

2n + 20

Step-by-step explanation:

2n + 20

2 times anything doubles it, then you are adding 20. An expression doesn’t have an equal sign (equations do)

Plot 7 + 3i in the complex plane.

Answers

Answer:

See attached image

Step-by-step explanation:

In the complex plane, the x-axis represents real numbers and the y-axis represents imaginary numbers.

A system of equations is shown below,

y = 5x + 2
10x - 2y = 12

what is the solution to the system of equations?

Answers

Answer: No solution
Step by step:
10x-2(5x+2)=12
10x-10x-4=12
0x=16
No solution

While making soup, Jenna added 5 fluid ounces of broth. About how many milliliters of broth does she add to her soup?
please help as fast as posible this is 100 pints

Answers

Answer:

148

Step-by-step explanation:

5 times 29.6

need help fast thanks

Answers

Answer: AOS: x =3 Vertex at (3,2)

Step-by-step explanation:

What is the solution set for (2x-7)^2=25

Answers

The solution set for the quadratic equation (2x - 7)² = 25 is 6 and 1.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

The solution set for a quadratic equation is the roots of the quadratic equation.

Given, (2x - 7)² = 25.

2x - 7 = ± 5.

2x = ± 5 + 7.

x = (± 5 + 7)/2.

x = 12/2 Or 2/2.

x = 6 or 1.

learn more about quadratic equations here :

https://brainly.com/question/11589380

#SPJ2

Please help!! I have to turn this is QUICK!!

Kenya bought 4 boxes of
pencils for $3.99 each. She
also bought 2 boxes of
markers for $4.99 each. If
she paid the cashier with a
$50 bill, how much change
will Kenya get back?

Answers

Answer:

$24.06

Step-by-step explanation:

pencils: x

markers = m

y = total

y - (4x + 2m)

50 - (4*3.99 + 2*4.99)

50 - (15.96 + 9.98)

50 - 25.94

24.06

Answer:

24.94

Step-by-step explanation:

4 times 3.99 is 15.96

2 times 4.99 is 9.98

15.96 plus 9.98


The measurements of a rectangular room, in a scale drawing, are 2 inches by 3
inches. The scale is inch = 3 feet. If carpet costs $1.75 per square foot, how much will
it cost to put carpet in this room?

Answers

Answer:

so,

the room (2×3) × (3×3) feet, or 6x9 feet.

6x9= 54square feet

54 x 1.75= $94.50

Kiki's mother cooked a dinner that contained a total of 992 calories. She also prepared a dessert that contained a total of 846 calories. The dinner was divided into 4 equal servings. The dessert was divided into 6 equal
servings. Kiki had one serving of dinner and one serving of dessert.

Which equation could be used to solve for n, the number of calories that kiki
ate?

A. n = 992 x 4 + 846 x 6
B. n = 1,838 / 10
C. n = 992 / 4 + 846 / 6
D. n = 992 / 4 - 846 / 6

Answers

Answer: C

Step-by-step explanation:

992/4=165

846/6=141

165+141=306

(992/4) + (846/6) = 306 total calories consumed

I just need brainliest please

Answers

Answer:

alright if you give me brianliest on this, when you answer one of my questions ill give you brainliest. brailiest for a brianliest?

Step-by-step explanation:

Answer

Catfishing, In LOl rate 0-10 Im bored

Step-by-step explanation:

work out the size if angle x 130 degrees and 96 degrees​

Answers

Answer:

130= x+96

130-96=x

34=x

Step-by-step explanation:

Answer:

34°

Step-by-step explanation:

130+50=180 (straight line)

50+96=146

180-146=34°

0.5 divided by 0.05 plz show work

Answers

Answer:

Step-by-step explanation:

Answer: 10

working below!

Find the exact value of the product cos82.5cos52.5

Answers

927492749271838383819378371746826482

what are the x and y intercepts of the equation 2x-y=4

Answers

Answer:

x-intercept:(2,0)

y-intercept:(0,-4)

Step-by-step explanation:

after 3 new students joined, the class had 26 students. which equations can be used to find n, the number of students in class before the 3 new students joined?

Answers

Answer:

23 were there

Step-by-step explanation:

26 - 3 = 25

helped

A: 3n =26

B: n - 3 =26

C: n + 3 =26

D n/3 =26

PLEASE HELP I WILL GIVE BRAINLIEST!!

Answers

Answer:

43.96

Step-by-step explanation:

To find Circumference the formula is

2*3.14*R=C

replace R with your radious which is 7

2*3.14*7=43.96

Find the missing term: 4x + x + ______ = 7x

Answers

Answer:

2x

Step-by-step explanation:

2x + 4x + x = 7x

good luck, i hope this helps :)

Answer:

2x

Step-by-step explanation:

x with no coefficient is 1x

4x+1x=5x

7x-5x= 2x   (ur answer)

the cost of a ticket increases by 10% to £19.35 work out the original cost

Answers

Answer:

£17.59

Step-by-step explanation:

100 + 10 = 110% (Price of a ticket after increase)

110% = 19.35

1% = 19.35 ÷ 110 = 0.1759

100% = 0.1759 x 100 = 17.59

plz is this correct
?

Answers

Answer:

It's 3 and 177.

Step-by-step explanation:

Let the angle be x°. Then its supplementary is 59x°.

We know,

x+ 59x=180

or, x = 3°

and another angle, 59x°= 177°

someone please help on this homework question

Answers

Answer:

25%, 40 trees, 50%, 36 trees

hat is the surface area of a cylinder that has a volume if 785.4in3 and a radius of 5 in?


A 471.2in2
B 10in2
C 150in2
D 4712.3in2

Answers

Answer:

A. 471.2 in²

Step-by-step explanation:

Cylinder volume:

V = πr²h

Cylinder surface area:

A = 2πr(r + h)

Find h from the first equation:

h = V/(πr²) = 785.4/(3.14*5²) = 10 in

Find surface area:

A = 2π(5)(5 + 10) = 471.23 in²

Correct choice is A

Answer:

volume of cylinder=πr²h

785.4=22/7×5²×h

h=785.4×7/(22×25)=9.99=10in

Step-by-step explanation:

surface area of cylinder =2πr(r+h)=2π×5(5+10)=

471.238898038in²

A 471.2in2 is your answer.

Simplify by combining like terms (3x2-5x- 6x)+(5x2+4x+4)

Answers

Step-by-step explanation:

I hope this helps. ans:9x+4

Shade the fraction circles to represent each mixed number.. 1 3/5 +2 2/5 equals

Answers

Answer:
1 3/5 + 2 2/5= 4

When simplifying radical expressions, what combination of factors are you looking for and why?​

Answers

Before we can simplify a radical expression, we must know the important ... The idea here is to find a perfect square factor of the radicand, write the radicand as a ... Sometimes we need to use a combination of steps.

0.4x + 2.9 = 1.5
what is x

Answers

Answer:

x= −3.5

youre welcome

Answer:

x= -3.5

Step-by-step explanation:  

Step 1: Subtract 2.9 from both sides.  

Step 2: Divide both sides by 0.4.

Which is the approximate solution to the system y=
0.5x+ 3.5 and y= -2/3x + 1/3
shown on the graph?

Answers

1. 0.5x+3.5
Slope: 0.5
y-intercept: (0,3.5)
x: (-7,0)
y: (0,3.5)

Bob gets paid an annual salary of $30,000 and earns 5% commission on all sales he makes. If Bob wants to make $6,000 this month, how much in sales does he need to have?
a.
$50,000
b.
$70,000
c.
$90,000
d.
$120,000

Answers

Answer:

The answer is 70,000 sales.

Bob gets paid an annual salary of $30,000, which means that monthly he gets:

$30,000 : 12 months = $2,500 per month

x - number of sales

Bob earns 5% commission on all sales he makes: x * 5% = x * 0.05 = 0.05x

The function is:

f(x) = 2,500 + 0.05x

Bob wants to make $6,000 this month: f(x) = 6,000

2500 + 0.05x = 6000

0.05x = 6000 - 2500

0.05x = 3500

x = 3500 : 0.05

x = 70000 sales

Step-by-step explanation:

Sales for the month should amount to $70,000

Annual salary = $30,000

Commission on sales = 5%

To make 6000 in a month :

Monthly salary = $30000 / 12 = $2500

Month earning = $2500 + 5% × (monthly sales)

Month earning = $6000

Let month sales = m

6000 = 2500 + 0.05m

6000 - 2500 = 0.05m

3500 = 0.05m

m = 3500 / 0.05

m = 70,000

Sales for the month should be 70,000

Learn more : https://brainly.com/question/18112348

How much energy, in joules, is released by an earthquake of magnitude 4?

Answers

Answer:

25,118,864,315 J

Step-by-step explanation:

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