MATHEMATICS HIGH SCHOOL

What is the sum of the polynomials? ( 8x^2 -9y^2-4x) + (x^2- 3y^2- 7x) answer options are in the pics

Answers

Answer 1

Answer:

Answer: The correct option is (D) $9x^2-12y^2-11x.$

Step-by-step explanation: We are given to find the following sum of the polynomials :

$S=(8x^2-9y^2-4x)+(x^2-3y^2-7x)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the required sum, we need to add the coefficients of the same unknown variables with equal powers.

The sum of the polynomials in (i) is as follows :

$S\n\n=(8x^2-9y^2-4x)+(x^2-3y^2-7x)\n\n=8x^2-9y^2-4x+x^2-3y^2-7x\n\n=(8+1)x^2-(9+3)y^2-(4+7)x\n\n=9x^2-12y^2-11x.$

Thus, the required sum of the polynomials is $9x^2-12y^2-11x.$

Option (D) is CORRECT.

Answer 2

Answer: (8x^2-9y^2-4x)+(x^2-3y^2-7x)

First, get rid of the parentheses and combine like terms

(8x^2+x^2)(-9y^2-3y^2)(-4x-7x)

9x^2-12y^2-11x is your answer

Related Questions

Solve x^2 + 5x - 6 = 0
Mario paid $44.25 in taxi fare from the hotel to the airport. the cab charged $2.25 for the first mile plus $3.50 for each additional mile. how many miles was it from the hotel to the airport
Tom Slick buys a set of tires for his car. The price, including tax, is $950.00. Tom finances the tires over 12 months after making a $50 down payment. The true annual interest rate is 18%. What are his monthly payments (principal plus interest)?
What is the value of the expression "eight more than three times the difference of four and a number" when n =3?□44□19 □17 □11
Enter the degree of the polynomial below.7x7 + 10x4 + 4x3 - 5x11 - 10x6 - 6x7A. 6B. 7C. 11D. 10 ...?

A cylindrical paint can has the capcity of one gallon. for another size can, the height is doubled what is the capacity of the larger size?

Answers

To understand the answer you will need to know that when you change any number of dimensions, the outcome will be affect in the same way based on the number of dimensions that were changed and what measurement you need. A three dimensional measurement such as volume will only be affect by how many of those 3 dimensions are actually changing. In this example, there is only 1 dimension changing (the height), so the total volume will be affected in the same way, only one time doubled.

1 gallons x 2 = 2 gallons.

The capacity will be 2 gallons.

Using the coordinates of two points (84, 80) and (74, 65), determine the slope of the line of best fit.a. The slope of the line is 1.5.
b. The slope of the line is 15.
c. The slope of the line is -10.
d. The slope of the line is -15

Answers

Answer:

a.the slope of the line is 1.5

Step-by-step explanation:

Hello

if two points of a line are known(P1 and P2), it is possible to find the slope of the line, the slope of a line is given by:

$slope=(y_(2)-y_(1))/(x_(2)-x_(1)) \nm=(y_(2)-y_(1))/(x_(2)-x_(1))\n$

$P1=(x_(1) ,y_(1)) \nP2=(x_(2) ,y_(2))$

Step 1

define

$P1=(84,80) , x_(1)=84 ,y_(1)=80\nP2=(74,65) , x_(2)=74 ,y_(2)=65$

Step 2

put the values into the equation

$m=(y_(2)-y_(1))/(x_(2)-x_(1))\nm=(65-80 )/(74-84)\nm=(-15)/(-10)\n m=(15)/(10)=(3)/(2)=1.5$

the slope=1.5

I hope it helps, have a great day

the slope of the line is 1.5

What is the product of y4 x y6?

Answers

Multiplying exponents of the same base is basically adding up the exponents. Make sure the base the same which it is.

y^4 x y^6 = y^10

What is the product?

2x(x – 4)

Answers

Keywords:

Product, factors, polynomial, distributive property

For this case we must find the product of two factors of a polynomial. To do this, we must apply the distributive property, which states: $a (b + c) = ab + ac.$

So:

$2x (x - 4) = 2x * x-2x * 4\n2x (x - 4) = 2x ^ 2-8x$

Thus, the product of $2x (x - 4)$ is: $2x ^ 2-8x$

Answer:

The product of $2x (x - 4)$ is: $2x ^ 2-8x$

Answer:

The product of $2x(x- 4)=2x^2-8x$

Step-by-step explanation:

Given : Expression $2x(x-4)$

To find : The product of the expression

Solution :

To find the product of the expression we apply distributive property in this

Distributive property $a(b+c)=ab+ac$

Where a= 2x, b=x, c=-4

$2x(x- 4)=2x(x)+2x(-4)$

$2x(x-4)=2x^2-8x$

Therefore, The product of $2x(x-4)=2x^2-8x$

What is 3-3 times 6+2=

Answers

SO the equation is 3-3*6+2.
Remember PEMDAS.
You multiply 3 and 6 first. Now this is 3-18+2.
You can then solve straight across. Your answer is -13!

______________________________
3-3*6+2
3-18+2
-15+2
-13

Answer:

-13 is ur answer

Step-by-step explanation:

A sociologists was investigating the ages of grandparents of high school students. From a random sample of 10high school students, the sociologist collected data on the current ages, in years, of the students' maternal grandparents. A. One of the sociologist's research questions was about the mean difference in age without regard to which grandparent is older. The interval constructed in part (a) does not address such a question. Based on the sample of high school students, give the value of the point estimate for the mean difference in age that could be used to address the sociologist's question.

Answers

Answer:

The answer for (a)(-5.96, 2.36)(b) -1.8, since the difference is negative, it can be said or determined that the age of the grandfather is older

Step-by-step explanation:

Solution

(a) From the information given,

n = 10, d =-1.8, sd = 5.81

The 95% confidence interval for the population mean difference age is computed as follows:

CI =d ±tα/2,n-1 (sd/√n)

= -1.8±t₀.₀₅/₂,₁₀₋₁ (5.81/√10)

=-1.8± 2.26 (1.84)

= -1.8 ± 4.16

= (-5.96, 2.36)

Now,

There is a 95% confidence that the mean difference in age of maternal grand parents of high school students lies between - 5.96 and 2.36

(b) The age difference is calculated as the age of grand mother minus age of grand father. the point of estimate for the mean difference is as follows:

Xd = XGM - XGF

= 69.8 -71.6

=-1.8

Therefore, since the difference is negative, it can be said or determined that the age of the grandfather is older

Note: kindly find an attached copy of the complete question and table to this example below.