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Lerok [7]
3 years ago
6

Which expressions are polynomials? Select each correct answer.

Mathematics
1 answer:
lilavasa [31]3 years ago
8 0
Here's an example

<span>Simplify by collecting like terms: 4(<span>x2y  </span>+ 7y) – 5y(3<span>x2 </span>– y) – 10y</span>

 

<span>A) −11x2y + 5<span>y2 </span>+ 18y</span>

 

<span>B) 4<span>x2y + </span>11y – 8<span>yx2 – </span>16y</span>

 

<span>C) 4<span>x2y + </span>18y – 15<span>yx2 + </span>5<span>y2</span></span>

 

<span>D) 4<span>x2y </span>– 5y(3<span>x2 </span>– y) – 3y</span>

 

<span>A) −11x2y + 5<span>y2 </span>+ 18y </span>

<span>Correct. 4(<span>x2y  </span>+ 7y) – 5<span>y(3x2 </span>– y) – 10y = 4<span>x2y + </span>28y – 15<span>yx2</span> + 5<span>y2 – </span>10y = 4<span>x2y + </span>18y – 15<span>yx2</span> + 5<span>y2 </span>= −11x2y + 5<span>y2 </span>+ 18y.</span>

 

<span>B) 4<span>x2y + </span>11y – 8<span>yx2 – </span>16y </span>

<span>Incorrect. The 4 is distributed to both terms in the parentheses by multiplying each term by 4 resulting in 28y, not 11y. The −5y is similarly distributed to each term in the parentheses, resulting in −15<span>yx2 + </span>5<span>y2. </span>The correct answer is −11x2y + 5<span>y2 </span>+ 18y.</span>

 

<span>C) 4<span>x2y + </span>18y – 15<span>yx2 + </span>5<span>y2</span></span>

<span>Incorrect. This polynomial can be further simplified by combining the like terms 4<span>x2y </span>and −15<span>yx2. </span>The order of the variables in a term does not matter. The correct answer is </span>

−<span>11x2y + 5<span>y2 </span>+ 18y.</span>

 

<span>D) 4<span>x2y </span>– 5y(3<span>x2 </span>– y) – 3y </span>

<span>Incorrect. Before combining like terms, you must distribute to clear the parentheses. The correct answer is −11x2y + 5<span>y2 </span>+ 18y.</span>

 

 


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(X-0)^2 + (y-0)^2 = 5^2
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8 0
3 years ago
7x-y=19 2x-3y=19 solve by elimination​
avanturin [10]

Answer:

x=2 y=-5

Step-by-step explanation:

7x-y=19

2x-3y=19

Multiply the first equation by -3

-3(7x-y)=19*-3

-21x +3y =-57

Add this to the second equation to eliminate y

-21x +3y =-57

2x-3y=19

-----------------------

-19x = -38

Divide by -19

-19x/-19 = -38/-19

x = 2

Now we need to find y

7x-y = 19

7(2) -y =19

14 -y =19

Subtract 14 from each side

14-14 -y=19-14

-y=5

Multiply by -1

y = -5

8 0
3 years ago
N
Nataly_w [17]

Answer: four units left and 1 unit up

Step-by-step explanation:

because negative is at the bottom

4 0
3 years ago
Find the partial derivatives indicated Assume the variables are restricted to a domain on which the function is defined. z=x8+3y
ahrayia [7]

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the partial derivatives indicated Assume the variables are restricted to a domain on which the function is defined. z=x^{8}+3^{y}+x^{y}

a) Zx b) Zy

In differentiation, if y = axⁿ, y' = nax^{n-1} \ where \ n\ is\ a\  constant. Applying this in question;

Given the function z = x⁸+3^{y}+x^{y}

Z_x = \frac{\delta z}{\delta x} = 8x^{7} + 0 + yx^{y-1} \\\frac{\delta z}{\delta x} = 8x^{7} + yx^{y-1} \\

Note that y is treated as a constant since we are to differentiate only with respect to x.

For Zy;

Z_y = \frac{\delta z}{\delta y} =0+ 3^{y} ln3 + x^{y}lnx \\\frac{\delta z}{\delta y} = 3^{y} ln3 + x^{y}lnx } \\

Here x is treated as a constant and differential of a constant is zero.

6 0
4 years ago
Determine the value of g(4), g(3 / 2), g (2c) and g(c+3) then simplify as much as possible.
jeka94

Answer:

g(4) = 8 \pi h\\\\g(\frac{3}{2}) = 3 \pi h\\\\ g(2c) = 4 \pi ch\\\\g(c+3) = 2 \pi hc+6\pi h

Step-by-step explanation:

You need to substitute r=4 into g(r) = 2 \pi r h. Then:

g(4) = 2 \pi(4)h\\\\g(4) = 8 \pi h

Substitute r=\frac{3}{2} into g(r) = 2 \pi r h. Then:

g(\frac{3}{2}) = 2 \pi(\frac{3}{2})h\\\\g(\frac{3}{2}) = 3 \pi h

Substitute r=2c into g(r) = 2 \pi r h. Then:

g(2c) = 2 \pi(2c))h\\\\g(2c) = 4 \pi ch

Substitute r=c+3 into g(r) = 2 \pi r h. Then:

g(c+3) = 2 \pi (c+3)h\\\\g(c+3) = 2 \pi hc+6\pi h

8 0
3 years ago
Read 2 more answers
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