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
Evgen [1.6K]
4 years ago
10

Perform the indicated operation.

Mathematics
1 answer:
nikitadnepr [17]4 years ago
5 0

(7x^3 + 11x^2 + 4x + 9)-(-x^3 + 6x^2 + 2x+6) = 8x^3+5x^2+2x+3

<em><u>Solution:</u></em>

Given that we have to perform the indicated operation

Given polynomial is:

(7x^3 + 11x^2 + 4x + 9)-(-x^3 + 6x^2 + 2x+6)

Polynomial addition\subtraction is similar to arithmetic addition\subtraction

Add\subtract the terms of coefficients with same variable with same exponent

For example: x^3 -2x^3 = -x^3

To subtract Polynomials, first reverse the sign of each term we are subtracting

Which means, reverse the sign of each term in second bracket

\rightarrow (7x^3 + 11x^2 + 4x + 9)-(-x^3 + 6x^2 + 2x+6)\\\\\rightarrow (7x^3 + 11x^2 + 4x + 9)+x^3 - 6x^2 - 2x-6\\\\\text{Remove the parenthesis in first bracket }\\\\\rightarrow 7x^3 + 11x^2 + 4x + 9+x^3 - 6x^2 - 2x-6\\\\\text{Group the similar terms }\\\\\rightarrow 7x^3+x^3+11x^2-6x^2+4x-2x+9-6\\\\\text{Combine the similar terms }\\\\\rightarrow 8x^3+5x^2+2x+3

Thus the given operation is performed

You might be interested in
23 POINTS please help me
Arturiano [62]

Answer:

y = x + 2

Step-by-step explanation:

Each y variable is set to be two more than the x variable. This makes the the slope intercept form y = x + 2.

3 0
3 years ago
11 points
anyanavicka [17]

Answer:

9.100

9.10,00

1. 1,098,000

1.109,800,000

5 0
3 years ago
The function p(x) = - 2(x-9)2 + 100 is used to determines the profit on T-shirts sold for x dollars. What would the profit from
dolphi86 [110]

ANSWER

$28

EXPLANATION

The profit function is given as:

p(x) =  - 2 {(x - 9)}^{2}  + 100

where x is the price of the T-shirt in dollars.

To find the profit on a T-shirt whose price is $15, we substitute x=15 into the function and simplify.

p(15) =  - 2 {(15 - 9)}^{2}  + 100

We simplify to get:

p(15) =  - 2 {(6)}^{2}  + 100

p(15) =  -72+ 100

p(15) =  28

6 0
3 years ago
What does congruent mean
AysviL [449]

Answer:

If two figures have the same size and shape, then they are congruent. so if they have the same shape and size even if they are flipped or mirrored they are congruent.

Step-by-step explanation:

The term congruent is often used to describe figures like this, the pictire below. if you look up congruent shapes and look at many examples that will definitely help you understand alot more better what congruent means.

5 0
3 years ago
Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and
Svetlanka [38]
(8,5)(-12,-9)
slope = (-9 - 5) / (-12 - 8) = -14/-20 = 7/10

y = mx + b
slope(m) = 7/10
use either of ur points.....(8,5)....x = 8 and y = 5
now we sub and find b, the y int
5 = 7/10(8) + b
5 = 56/10 + b
5 - 56/10 = b
50/10 - 56/10 = b
-3/5 = b

so ur equation is : y = 7/10x - 3/5.....now we put it in standard form

y = 7/10x - 3/5...multiply by 10
10y = 7x - 6.....subtract 7x
-7x + 10y = -6....multiply by -1
7x - 10y = 6

So.....7x - 10y = 3.... IS NOT a good model. Because ur points are not a solution to ur equation.
7 0
4 years ago
Read 2 more answers
Other questions:
  • A container holds 0.7 liters of oil and vinegar 3/4 of that is vinegar how much oil is in the container
    5·1 answer
  • Marsha deposited $8,500 into savings account 5 years ago. The simple interest rate is 3%. How much money did Marsha earn in inte
    8·1 answer
  • Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
    12·2 answers
  • Solve the equation: -x-10= -12
    7·1 answer
  • 14+7×54÷6-7 work for the problem
    12·2 answers
  • Can someone please help me, I’ll give you Brainliest
    13·1 answer
  • What is the solution set of the equation 8/q+2= q+4/q-1?
    10·2 answers
  • At the football game they sold $4 pizzas and $2 sodas, which made the school $260. The number of sodas sold was 5 more than thre
    8·1 answer
  • Javier rode his bike 4.8 miles from his school to the library. Then he rode home. If Javier rode his bike a total of 6.3 miles,
    10·1 answer
  • noah has d dimes and q quarters. he has no less than 17 coins altogether. write this situation as an inequality​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!