All categories

3 years ago

What is the product?

Mathematics

2 answers:

anygoal [31]3 years ago

8 0

Answer:

15 r squared minus 14 r minus 8

Step-by-step explanation:

(5r+2)(3r-4)

distribute and you will get

15r^2-20r+6r-8

combine like terms

15r^2-14r-8

if you have any questions just comment. ^^ ill be glad it help!

frutty [35]3 years ago

6 0

Answer:

Option D.

Step-by-step explanation:

The given expression is (5r + 2)(3r minus 4)

Convert this expression into an algebraic expression.

(5r + 2)(3r - 4)

By distribution law,

= 5r(3r - 4) + 2(3r - 4)

= 15r² - 20r + 6r - 8

= 15r² - 14r - 8

Now convert the algebraic expression into the language form.

15r squared minus 14r minus 8

Therefore, option D is the answer.

You might be interested in

Lee las situaciones y realiza lo siguiente con cada una:

Julli [10]

Answer:

Part 1) see the explanation

Part 2) see the explanation

Part 3) see the explanation

Part 4) see the explanation

Step-by-step explanation:

The question in English is

Read the situations and do the following with each one:

Write down the magnitudes involved

Write which magnitude is the independent variable and which is the dependent variable

It represents the function that describes the situation

SITUATIONS:

1) A machine prints 840 pages every 30 minutes.

2) An elevator takes 6 seconds to go up two floors.

3) A company rents a car at S/ 480 for 12 days.

4) 10 kilograms of papaya cost S/ 35

Part 1) we have

A machine prints 840 pages every 30 minutes

Let

x ----> the time in minutes (represent the variable independent or input value)

y ---> the number of pages that the machine print (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem

we have a a proportional variation

The value of the constant of proportionality is equal to

$k=\frac{y}{x}$

we have

$y=840\ pages\\x=30\ minutes$

substitute

$k=\frac{840}{30}=28\ pages/minute$

The linear equation is

$y=28x$

Part 2) we have

An elevator takes 6 seconds to go up two floors.

Let

x ----> the time in seconds (represent the variable independent or input value)

y ---> the number of floors (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem

we have a a proportional variation

The value of the constant of proportionality is equal to

$k=\frac{y}{x}$

we have

$y=2\ floors\\x=6\ seconds$

substitute

$k=\frac{2}{6}=\frac{1}{3}\ floors/second$

The linear equation is

$y=\frac{1}{3}x$

Part 3) we have

A company rents a car at S/ 480 for 12 days.

Let

x ----> the number of days (represent the variable independent or input value)

y ---> the cost of rent a car (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem

we have a a proportional variation

The value of the constant of proportionality is equal to

$k=\frac{y}{x}$

we have

$y=\$480\\x=12\ days$

substitute

$k=\frac{480}{12}=\$40\ per\ day$

The linear equation is

$y=40x$

Part 4) we have

10 kilograms of papaya cost S/ 35

Let

x ----> the kilograms of papaya (represent the variable independent or input value)

y ---> the cost (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem

we have a a proportional variation

The value of the constant of proportionality is equal to

$k=\frac{y}{x}$

we have

$y=\$35\\x=10\ kg$

substitute

$k=\frac{35}{10}=\$3.5\ per\ kg$

The linear equation is

$y=3.5x$

6 0

3 years ago

If a truck can hold 4 boxes and if you needed to move 871 boxes across town , how many trips would you need to make?

Sauron [17]

218 trips is the amount

5 0

3 years ago

Read 2 more answers

The table below shows the typical hours worked by employees at a company. A new employee is offered an annual salary of $37,000.

Mademuasel [1]

Answer:

Salaried pay is preferable for a new employee

Step-by-step explanation:

As per table, hours worked per week:

0+ 8.5+ 9.5+ 7.5+ 8+ 8.5+ 4 = 46

Employee gets paid for 46 hours per week:

$40*14 + (46- 40)*$21 = $686

Average yearly salary would be:

$686/7*365 = $35770

Comparing with annual salary, we see:

$37000 > $35770

As we see, hourly employees get paid less, so the new employee should choose annual salary option

7 0

3 years ago

How do I find a variable for a similar figure

gizmo_the_mogwai [7]

Answer:

Sorry if this doesnt make help:

Step-by-step explanation:

When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the shapes are similar, compare their corresponding sides.

3 0

3 years ago

8^15÷8^−3 im lost i dont get this whole simply thing at all

Phantasy [73]

8^15 ÷ 1/8^3 = 8^15 x 8^3=8^18

8 0

3 years ago

Read 2 more answers