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3 years ago

Which polynomial correctly combines the like term and express the given polynomial in standard form

Mathematics

2 answers:

Scrat [10]3 years ago

4 0

Answer: c) $3x^4-13y^4+x^3y+9xy^3-8x^2y^2$

Step-by-step explanation:

$9xy^3-4y^4-10x^2y^2+x^3y+3x^4+2x^2y^2-9y^4$

Let's rearrange from the 4th power to 1.

$3x^4-4y^4-9y^4+x^3y+9xy^3-10x^2y^2+2x^2y^2$

Combine like terms (check if they have the same variable raised to the same power.

$3x^4+(-4y^4-9y^4)+x^3y+9xy^3+(-10x^2y^2+2x^2y^2)$

$3x^4+(-13y^4)+x^3y+9xy^3+(-8x^2y^2)$

$3x^4-13y^4+x^3y+9xy^3-8x^2y^2$

grigory [225]3 years ago

3 0

Answer is C I did this already

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The Drama Club held a car wash to raise money. The equation y = 15x represents the amount of money y club members made for washi

oksian1 [2.3K]

Answer:

Step-by-step explanation:

Given that:

y = 15x

y = amount of money made by club members made for washing cars

x = number of cars washed

From the equation given ;

Amount made is directly proportional the number of cars washed

Mathematically,

y α x

y = kx

Where k = constant of proportionality

Comparing the given equation with

y = kx

y = 15x

k = 15 = constant of proportionality

7 0

3 years ago

Which inequality is graphed below? y<1/4x-1 y>1/4x-1 y<=1/4x-1 y>=1/4x-1

umka21 [38]

I think it is the first answer I just now did this problem yesterday z.Y<1/4x-1

7 0

3 years ago

Use StatKey or other technology to generate a bootstrap distribution of sample proportions and find the standard error for that

sesenic [268]

Answer:

0.0515

Step-by-step explanation:

By the central limit theorem

when n increase distribution when data follows normal

Standard Error, SE of P is

$SE = \sqrt{\frac{p(1-p)}{n} }$

Bootstrap Standard Error = $\sqrt{\frac{p(1-p)}{n} }$

where n = 94 and p = 0.52

hence,

SE of Bootstrap = $\sqrt{\frac{0.52(1-0.52)}{94} }$

$=\sqrt{\frac{0.2496}{94} }\\\\=0.0515$

SE and the SE of Bootstrap are the same

8 0

3 years ago

If 5x+6=10, what is the value of 10x+3? A) 4 B) 9 C) 11 D) 20

mart [117]

$5x+6=10$
$5x=10-6$
$5x=4$
$x=4/5$

If we substitute the value of x into the second equation

$10x+3$
$10\times 4/5+3$
$8+3=11$
Therefore, your solution is 11

6 0

3 years ago

Read 2 more answers

Find the distance from the point to the line. (-1,-2,1);x=4+4t, y=3+t, z=6-t .The distance is ____ Typn exact answer, using radi

lawyer [7]

Answer:

The distance is 4.726

Step-by-step explanation:

we need to find the distance from the point to the line

Given:- point (-1,-2,1) and line ; x=4+4t, y=3+t, z=6-t .

used formula $d=\frac{|a\times b|}{|a|}$

Let point P be (-1,-2,1)

using value t=0 and t=1

The point Q (4 , 3, 6) and R ( 8, 4, 5)

Let a be the vector from Q to R : a = < 8 - 4, 4 - 3, 5 - 6 > = < 4, 1, -1 >

Let b be the vector from Q to P: b = < -1 - 4, -2 - 3, 1 - 6> = < -5, -5, -5 >

The cross product of a and b is:

$a \times b= \begin{vmatrix} i & j & k\\ 4 &1&-1\\-5 &-5&-5\\ \end{vmatrix}$

= -6i+15j-15k

The distance is : $d=\frac{\sqrt{(-6)^{2}+(15)^{2}+(-15)^{2}}}{\sqrt{(4)^{2}+(1)^{2}+(-1)^{2}}}$

$=\frac{\sqrt{36+225+225}}{\sqrt{16+1+1}}$

$d=\frac{\sqrt{486}}{\sqrt{18}}$

≈4.726

Therefore, the distance is 4.726 

3 0

3 years ago