1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
notsponge [240]
3 years ago
14

1. A rectangle has side lengths of 3x2 + 5x - 1 and -7x+1. Which of the following expressions represents the area of the rectang

le?
a. 3x²-21
b. 3x² - 35x-1
c. -21x³ - 38x²- 2x - 1
d. -21x³ - 32x² + 12x - 1

please help​
Mathematics
2 answers:
UNO [17]3 years ago
6 0

21x³-42x²+12x-1

[area of rectangle =length ×breadth

=(3x2 + 5x - 1)(-7x+1)

=3x²(-7x+1)+5x(-7x+1)-1(-7x+1)

=-21x³+3x²-45x²+5x+7x-1

=-21x³-42x²+12x-1

Brilliant_brown [7]3 years ago
4 0
<h2>Answer:</h2>

Area of rectangle = l × b

= (3x² + 5x - 1)(- 7x + 1)

= - 21x³ + 3x² - 35x² + 5x + 7x - 1

= - 21x³ - 32x² + 12x - 1.

Correct choice - [D] -21x³ - 32x² + 12x - 1.

You might be interested in
Can you help me on questions numbers 8 and 9 ASAP?
aleksandrvk [35]
7. e and f
9. c.

sorry didn't understand 8

3 0
4 years ago
-2 (-3x + 3) + 2x = 58
dusya [7]

Answer:

x = 8

Step-by-step explanation:

Given

- 2(- 3x + 3) + 2x = 58 ← distribute and simplify left side

6x - 6 + 2x = 58

8x - 6 = 58 ( add 6 to both sides )

8x = 64 ( divide both sides by 8 )

x = 8

8 0
3 years ago
the combined age of april and laura is 23 years. laura's age is two years more than half of april's age. what is laura's age
Kipish [7]

Laura's age is 9 years.

Solution:

Let x be the age of April.

Laura's age = 2 years more than half of April's age

<u>Convert statement into algebraic expression:</u>

Half of April's age = \frac{x}{2}

2 years more than half of April's age = \frac{x}{2}+2

Combined age of April and Laura = 23

⇒ April's age + Laura's age = 23

$\Rightarrow \ \ x+(\frac{x}{2}+2) =23

$\Rightarrow \ \ x+\frac{x}{2}+2 =23

$\Rightarrow \ \ \frac{x}{1}+\frac{x}{2}+\frac{2}{1} =23

To add the fractions make the denominators same.

Multiplying 2 on both numerator and denominator of unlike terms, we get

$\Rightarrow \ \ \frac{x\times2}{1\times2}+\frac{x}{2}+\frac{2\times2}{1\times2} =23

$\Rightarrow \ \ \frac{2x}{2}+\frac{x}{2}+\frac{4}{2} =23

Denominators are same, now add the fractions.

$\Rightarrow \ \ \frac{2x+x+4}{2} =23

Do cross multiplication.

$\Rightarrow \ \ 2x+x+4=23\times2

$\Rightarrow \ \ 3x=46-4

$\Rightarrow \ \ 3x=42

$\Rightarrow \ \ x=14

Aprils's age = 14 years

Laura's age = \frac{14}{2}+2

                    = 7 + 2

Laura's age = 9

Hence Laura's age is 9 years.

8 0
4 years ago
Cora got a $1200 loan for 2 years. She paid $90 in interest. What was her interest rate? (*hint: you will get a decimal as an an
bearhunter [10]

Answer:

To use the simple interest formula, I = Prt, we substitute in the values for ... Do you know that banks pay you to let them keep your money? ... The rate of interest is usually expressed as a percent per year, and is ... Yes, $90 is reasonable. ... Find the principal invested if $178 interest was earned in 2 years

Step-by-step explanation:

4 0
3 years ago
Carly buys a gold ring priced at $273.00 if the sale tax is 10 % , how much will carly pay
Damm [24]

Hello!

<h2>Answer:</h2>

Carla will pay $300.30 for the gold ring.

<h2>Explanation:</h2>

Sales tax is added on to the total cost of the item. We need to figure out how much tax is on the ring.

To do that, we must calculate 10% (or 0.10) of $273.00.

273 × 0.10 = 27.3

Now, add the tax to the cost of the ring.

273 + 27.3 = 300.3

3 0
3 years ago
Read 2 more answers
Other questions:
  • A random survey of the quality of city park is taken.sixty-five percent of the people surveyed were pleased with the condition o
    14·2 answers
  • What is the equation for a geometric sequence with a first term of 4 and a second term of −8?
    7·1 answer
  • This histogram shows the numbers of shoppers in various age groups at a clothing store.
    8·2 answers
  • Find the equation of the line
    15·1 answer
  • Christian has a collection of 18 shark teeth he has 6 tiger shark what precentage is tiger​
    9·1 answer
  • 50% off on a $300 skateboard! There was a 6% tax. What is the new Total for the skateboard?​
    11·2 answers
  • Which statement is true?
    14·2 answers
  • The area of the largest cross section of a sphere and the circumference of the sphere are in the ratio 4:1.
    6·1 answer
  • Solve for y: 4x + 2y = 6
    11·2 answers
  • Frank has constructed a tent in the shape of a square pyramid.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!