What polynomial when divided by 2y^5 yields 4y^2-2y+9 as a quotient?

Answers

Answer 1

Answer: $w(x):2y^5=4y^2-2y+9\Rightarrow w(x)=2y^5(4y^2-2y+9)\n\nw(x)=2y^5\cdot4y^2-2y^5\cdot2y+2y^5\cdot9\n\nw(x)=8y^7-4y^6+18y^5$

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A pair of jeans are originally priced at $30.00 jeans go on sale for 20% off, what is the difference between the sale price and the original cost?

Answers

Answer:

$ 6

Step-by-step explanation:

Discount = 20% of 30

$= (20)/(100)*30$

= 2 * 3

= $ 6

Difference between the sale price and the original cost = $ 6

Determine if the lines that pass through the given points are parallel, perpendicular or neither. Line A: (-3, 5) and (0, 7) Line B: (6, 2) and (9, 4)

Answers

If two lines are parallel, their slopes will be equal. If they are perpendicular, the slope of the first line multiplied by the slope of the second line will equal 1. If they are neither, they won't have any special relationship.

Line A:
Slope = (7 - 5)/(0 - -3), which is equal to 1/3

Line B:
Slope = (4 - 2)/(9 - 6), which is also equal to 1/3.

The two slopes are the same, therefore they are parallel.

It is parallel due to the fact that it is the exact same number with one being positive and one being negative.

I really need help please!!

Answers

Using similar triangles, we see that 12/x = x/16. Multiplying by 16x, we see that x^2=12*16=192.

By the Pythagorean Theorem, $12^2+y^2=x^2$ . Since x^2=192, we know that $144+y^2=192$ . Subtracting 144 from both sides, we see that $y^2=48$ , so y= $4 √(3)$ .

How can i solve x^3+7x=8x^2

Answers

$x^3+7x=8x^2\ \ \ /-8x^2\n\nx^3-8x^2+7x=0\n\nx(x^2-8x+7)=0\iff x=0\ \vee\ x^2-8x+7=0$

$x^2-8x+7=0\n\na=1;\ b=-8;\ c=7\n\n\Delta=b^2-4ac;\ x_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\Delta=(-8)^2-4\cdot1\cdot7=64-28=36;\ \sqrt\Delta=√(36)=6\n\nx_1=(8-6)/(2\cdot1)=(2)/(2)=1;\ x_2=(8+6)/(2\cdot1)=(14)/(2)=7\n\n\n\nAnswer:x=0\ or\ x=1\ or\ x=7.$

$x^3+7x=8x^2\n \nx^3-8x^2+7x =0\n \nx(x^2-8x+7)=0\n \nx=0 \ \ \vee \ \ x^2-8x+7 =0\n \n \Delta = b^(2)-4ac =(-8)^(2)-4*1*7=64 - 28 = 36$

$x_(1)=(-b-√(\Delta ))/(2a) =(8- √(36))/(2)=(8-6)/(2)= (2)/(2)= 1 \n \nx_(2)=(-b+√(\Delta ))/(2a) =(8+ √(36))/(2)=(8+6)/(2)= (14)/(2)= 7 \n \n Answer : x=0 \ \ \vee \ \ x=1 \ \ \vee \ \ x= 7$

a scientist had 3/4 of a bottle of a solution. she used 1/6 of the solution in an experiment how much of the bottle did she use? PLS HELP FOR 20 POINTS

Answers

Answer:

To work this out you need to multiply 3/4 by 1/6.

=3/24

=1/8

Step-by-step explanation:

Hope this helps :)

Final answer:

The scientist used 1/8 of the bottle.

Explanation:

To find out how much of the bottle the scientist used, we need to multiply the fraction of the solution used (1/6) by the fraction of the bottle filled with the solution (3/4).

The solution used = (1/6) * (3/4) = 3/24 = 1/8.

Therefore, the scientist used 1/8 of the bottle.

Learn more about Fraction here:

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A 32 ounce bottle of water costs $1.92 what is the cost per ounce

Answers

The answer is 6 cents per ounce, which is simply solved by dividing the cost by the number of ounces. Have a nice day! :)

32 ounce = $1.92
1 ounce = ?

Solve:-

1.92 ÷ 32 = 0.06
$0.06 per ounce.

Check:
0.06 × 32 = 1.92
Correct!

$0.06 per ounce.

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