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olga55 [171]
3 years ago
13

20 points! Simplify: 2y(2y+3yx^{2} )-y^{2} (3-y) please show work!

Mathematics
1 answer:
arlik [135]3 years ago
4 0

Answer:

8x2y - 6x2 - 8xy2 - y2

Step-by-step explanation:

Equation at the end of step  1  :

 (((((5•(x2))•y)-(5•(x2)))+(3y•(x2)))-(3•(y2)))-((((x2)+(y2))+(8x•(y2)))-3y2)

Step  2  :

Equation at the end of step  2  :

 (((((5•(x2))•y)-(5•(x2)))+(3y•(x2)))-(3•(y2)))-((((x2)+(y2))+23xy2)-3y2)

Step  3  :

Equation at the end of step  3  :

 (((((5•(x2))•y)-(5•(x2)))+(3y•(x2)))-3y2)-(x2+8xy2-2y2)

Step  4  :

Equation at the end of step  4  :

 (((((5•(x2))•y)-(5•(x2)))+3x2y)-3y2)-(x2+8xy2-2y2)

Step  5  :

Equation at the end of step  5  :

 (((((5•(x2))•y)-5x2)+3x2y)-3y2)-(x2+8xy2-2y2)

Step  6  :

Equation at the end of step  6  :

 ((((5x2•y)-5x2)+3x2y)-3y2)-(x2+8xy2-2y2)

Step  7  :

Final result :

 8x2y - 6x2 - 8xy2 - y2

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Mike bought an MP3 player for $150. The sales-tax rate was 8 percent. How much sales tax did he pay on the MP3 player?
Ostrovityanka [42]

Answer:

12%

Step-by-step explanation:

Cost Price of the MP3 player =$150

Sales Tax = 8 %

Total sales tax=  Tax * Cost Price

                   =   \frac{8}{100} * 150

                   =12%                  

He payed a total of 12% sales tax

7 0
3 years ago
What are the exact values of sin(2π3radians) and cos(2π3radians)
topjm [15]
We know that
2π/3 radians-------> convert to degrees-----> 2*180/3---> 120°
120°=90°+30°

Part a) Find <span>sin(2π/3)
</span>sin(2π/3)=sin (90°+30°)
we know that
sin (A+B)=sin A*cos B+cos A*sin B
so
sin (90°+30°)=sin 90*cos 30+cos 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
sin (90°+30°)=1*√3/2+0*1/2-----> √3/2

the answer part a) is
sin(2π/3)=√3/2

Part b) Find cos (2π/3)
cos (2π/3)=cos (90°+30°)
we know that
cos (A+B)=cos A*cos B-sin A*sin B
so
cos (90°+30°)=cos 90*cos 30-sin 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
cos (90°+30°)=0*√3/2-1*1/2----> -1/2

the answer part b) is
cos (2π/3)=-1/2


4 0
3 years ago
5. Find the coordinates of the midpoint of the segment whose endpoints are 1l(6, 4) and K(2. 8).
Cerrena [4.2K]

Answer:

5. D (4,6)

6. B (7.8)

Step-by-step explanation:

5. Add the two X coordinates (6+2) and divide that by 2 (8/2=4), do the same for the two Y coordinates (4+8=12, 12/2=6)

6. Use the distance formula \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}\\

Input the coordinates \sqrt{(3-8)^{2}+(8-2)^{2}

3 0
3 years ago
Read 2 more answers
Algebra help? 2 questions will give brainliest!!
galina1969 [7]
1) x + 3.2= -3.5
subtract 3.2 from both sides
x+ 3.2 - 3.2= -3.5 - 3.2
it cancels out on the left
x= -6.7


2) 8/9x= 32
divide both sides by 8/9
8/9x ÷ 8/9= 32 ÷ 8/9
it cancels out on the left

to divide on the right, multiply fraction by its reciprocal/inverse

x= 32 * 9/8
multiply numerators (top)

x= (32*9)/8
x= 288/8
x= 36


ANSWER: 1) x= -6.7; 2) x= 36

Hope this helps! :)
5 0
3 years ago
Can a scalene triangle be equilateral
erastova [34]
No.

A scalene triangle is one with no sides equal.

An equilateral is one with the three sides equal.

So a scalene triangle can not be equilateral.
8 0
4 years ago
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