All categories

3 years ago

Which expression shows the sum of the polynomials with like terms grouped together? 10x^2y+2xy^2-4x^2-4x^2y

Mathematics

2 answers:

KIM [24]3 years ago

5 0

The answer to the question

USPshnik [31]3 years ago

4 0

Answer:

6x²y+2xy²-4x²

Step-by-step explanation:

Like terms are terms that have the same variables and exponents.

In the given problem, the only like terms are 10x²y and -4x²y; adding these gives us 6x²y. Bringing down the rest of the terms gives us

6x²y+2xy²-4x²

You might be interested in

How would the expression x2 +8 be rewritten using Sum of Cubes?

Nadusha1986 [10]

Answer:

$x^3+8=(x+2)(x^2-2x+4)$

So if they meant $x^3+8$ then the answer is:

$(x+2)(x^2-2x+4)$ .

The choice this corresponds to is A.

Step-by-step explanation:

The sum of cubes formula for factoring or expanding:

$a^3+b^3=(a+b)(a^2-ab+b^2)$

You have I'm assuming they meant:

$x^3+8$ .

Compare $x^3+8$ to $a^3+b^3$ .

You should see in place of $a$ you have $x$ .

You should also see in place of $b$ you have $2$ .

$a^3+b^3=(a+b)(a^2-ab+b^2)$

$x^3+8$

$x^3+2^3$

$x^3+2^3=(x+2)(x^2-2x+2^2)$

$x^3+8=(x+2)(x^2-2x+4)$

Let's check it for fun.

So we are going to use the distributive property.

We are going to distribute all the terms in the first ( ) to all the terms in the second ( ).

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

$x^3-2x^2+4x$ + $2x^2-4x+8$

Combine like terms:

$x^3-2x^2+2x^2+4x-4x+8$

Simplify the grouping of like terms:

$x^3+0x^2+0x+8$

0 times anything is 0:

$x^3+8$

8 0

3 years ago

A tourist drives 70 miles along a scenic highway and then takes a 7-mile walk along a hiking trail. The average velocity driving

san4es73 [151]

Answer: $T=\frac{17}{x}$

Step-by-step explanation:

The formula we need to use is:

$time=\frac{distance}{velocity}$

We know that "T" is the total time for driving and hiking and "x" is the average velocity on the hike.

Knowing that the tourist drives 70 miles along the scenic highway and walk 7-mile walk along the hiking trail, and also knowing that the average velocity driving is 7 times that while hiking, we can conclude that the total time is:

$T=\frac{70}{7x}+\frac{7}{x}$

Finally, simplifying the equation, we get that the total time for driving and hiking as a function of the average velocity on the hike, is:

$T=\frac{10}{x}+\frac{7}{x}\\\\T=\frac{10+7}{x} \\\\T=\frac{17}{x}$

8 0

3 years ago

a man invested one third of his money at 5%, half of his money st 5.5%. if his total annual investment income was 735,how much h

stepan [7]

Remark
Let the amount invest = x

(1/3 x) * 5/100 + (1/2 x) * 5.5/100 = 735 Multiply numerators and denominators together on each side of the plus sign.

5x/300 + 5.5x / 200 = 735

Multiply both sides of the equation by 600 to get rid of the denominators.
(5x/300)*600 + (5.5x/200)*600 = 735 * 600
(5x * 2) + 5.5x * 3 = 441000
10x + 16.5x = 441000 Combine the like terms on the left.
26.5 * x = 441000 Divide by 26.5 on both sides.
x = 441000/26.5
x = 16641.51 = invested amount <<<<< answer

Check
1/3 * 5/100 * 16641.51 = 277.36
1/2 * 5.5/100*16641.51 = 457.63
The total = 735 which is what it should be.

4 0

3 years ago

HELP HURRY NOW ASAP!!

V125BC [204]

answer

show your work

7 0

3 years ago

The interquartile range (IQR) is defined as the difference between the first and third quartiles (Q3−Q1). What feature of the bo

dsp73

Answer:

The interquartile range is also known as midspread and it is the between the first and third quartile (25th and 75th percentile respectively) serving as a robust measure of sample dispersion.

Interquartile range (IQR) = Q3 - Q1

As a measure of variability, it is based on splitting data sets into quartile (four equal portions). The values differentiating these portions are known as the first, second, and third quartile which are represented as Q1, Q2, and Q3, respectively.

Step-by-step explanation:

sorry if wrong

5 0

3 years ago

Read 2 more answers