All categories

2 years ago

What is the sum of the polynomials?

Mathematics

1 answer:

vivado [14]2 years ago

4 0

The answer is 3x^2 + 6x + 4 (the second one)

Let's start by removing the parenthesis to get 6x + 7 + x^2 + 2x^2 - 3

Then, let's combine like terms (terms with the same variable and exponent) to get 3x^2 + 6x + 4

This is an answer in the multiple choice, so the answer is 3x^2 + 6x + 4 (the second one)

You might be interested in

Lynn takes out a loan for $7540 that charges an annual simple interest rate of 6.5%. She does not make any payments for 2 1/2 ye

sp2606 [1]

Answer:

8765.25

Step-by-step explanation:

p=$7540

r=6.5%

t=2.5

simple interest formula= (p*r*t)/100

(7540*6.5*2.5)/100=1225.25

total amount= p+S.I

=7540+1225.25

=8765.25

thankyou^^

7 0

3 years ago

A force of 50 pounds acts on an object at an angle of 45 degrees. A second force of 75 pounds acts on the object at an angle of

Contact [7]

Answer:

The magnitude of the resultant force is:

$R=100.3 \:pound$

The direction is:

$\theta=1.2^{\circ}$

Step-by-step explanation:

Let's find the components of each vector is x and y-directions first.

<u>Sum of x-component vector forces.</u>

$F_{tot-x}=F_{1}cos(45)+F_{2}cos(30)$

$F_{tot-x}=50cos(45)+75cos(30)$

$F_{tot-x}=100.3 \: pound$

<u>Sum of y-component vector forces.</u>

$F_{tot-y}=-F_{1}sin(45)+F_{2}sin(30)$

$F_{tot-y}=-50sin(45)+75sin(30)$

$F_{tot-y}=2.1 \: pound$

The magnitude of the resultant force is:

$R=\sqrt{100.3^{2}+2.1^{2}}$

$R=100.3 \:pound$

The direction is:

$tan(\theta)=\frac{2.1}{100.3}$

$\theta=arctan(\frac{2.1}{100.3})$

$\theta=1.2^{\circ}$

I hope it helps you!

4 0

3 years ago

One package of tile will cover 3 square feet.How many packages will shee need 8,13,15,39

IrinaVladis [17]

Hey there! :)

Answer:

13 packages.

Step-by-step explanation:

Begin by finding the total area of this composite figure. Separate the figure into separate rectangles. Use the formula A = l × w to calculate the area of each:

Smaller rectangle:

Subtract 7 from 9 to find the width:

9 -7 = 2. Therefore:

2 × 2 = 4 ft².

Larger rectangle:

7 × 5 = 35 ft².

Add up the two areas to find the area of the entire figure:

4 + 35 = 39 ft².

If each package of tile covers 3 ft², simply divide to find the package of tiles needed:

39 / 3 = 13 packages.

4 0

3 years ago

Devaughn is 9 years younger than Sydney. The sum of their ages is 61. What is Sydney's age?

Lelu [443]

52? ahh thats what im thinking. Maybe wait for someone elses answer

6 0

2 years ago

Read 2 more answers

Autum school holding a voleturing challeng. Students are encouraged to volunteer for at least 1 1/2 hours per week. Volenteers a

Pani-rosa [81]

Given :

Challenge given is to volunteer for about 1 1/2 hours per week .

Autum did at a rate of 6 3/4 hours per week .

To Find :

The comparison ( ratio ) her volunteers rate with the challenge rate .

Solution :

Simplifying challenge rate in in normal fraction , $1\dfrac{1}{2}=\dfrac{2+1}{2}=\dfrac{3}{2}$ .

Also , simplifying her rate , $6\dfrac{3}{4}=\dfrac{(6\times 4)+3}{4}=\dfrac{27}{4}$ .

Now , ratio of his work by challenge is :

$R=\dfrac{\dfrac{27}{4}}{\dfrac{3}{2}}\\\\\\R=\dfrac{27\times 2}{4\times 3}\\\\R=\dfrac{9}{2}$

Therefore , the ratio is 9/2 or 4 1/2 .

Hence , this is the required solution .

8 0

3 years ago

Read 2 more answers