MATHEMATICS HIGH SCHOOL

Please help!! thank you.

Answers

Answer 1

Answer:

(A) Product of $-2x^(3)+x-5$ and $x^(3)-3x-4$ is:

$(-2x^(3)+x-5)(x^(3)-3x-4)$

$=-2x^(3)(x^(3)-3x-4)+x(x^(3)-3x-4)-5(x^(3)-3x-4)$

$=(-2x^(3))(x^(3))+(-2x^(3))(-3x)+(-2x^(3))(-4)+x(x^(3))+(x)(-3x)+(x)(-4)+(-5)(x^(3))+(-5)(-3x)+(-5)(-4)$

$=-2x^(6)+6x^(4)+8x^(3)+x^(4)-3x^(2)-4x-5x^(3)+15x+20$

$=-2x^(6)+6x^(4)+x^(4)+ 8x^(3)-5x^(3)-3x^(2)-4x+15x+20$

$=-2x^(6)+7x^(4)+3x^(3)-3x^(2)+11x+20$

(B) Yes.

Product of $-2x^(3)+x-5$ and $x^(3)-3x-4$ = Product of $x^(3)-3x-4$ and $-2x^(3)+x-5$ because multiplication is commutative.

Commutative Property of multiplication says that a.b = b.a.

Thus, multiplication is same irrespective of the order of two numbers.

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Find the value of 21-18 3 2. O1 2 O2 O9 18

Answers

Thank you for asking your question!

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Answer:

Explanation:

18 / 3 = 6 x 2 = 12.

21 - 12 = 9

Hope this helps!

Answer:

Step-by-step explanation:

If {a_{n}} and {b_{n}} are geometric sequences with common ratios of r₁ and r₂, is {a_{n}b_{n}} a geometric sequence too? If yes, what is the common ratio?

Answers

a_{n+1}b_{n+1} / a_{n}b_{n} =( a_{n+1} / a_{n}) * ( b_{n+1} / b_{n} ) = ( r1 ) * ( r2) =>
{a_{n}b_{n}} a geometric sequence; the common ratio is ( r1 ) * ( r2) .

Find the number missing from the following equivalent fractions: 9/15= ?/60

Answers

to get the equivalent fraction you have to find the common denominator. in this case 60 divided by 15 which would equal to 4. The you would multiply 9 by 4 to get the answer which would be 36. the final answer would be 9/15=36/60

Answer:

36/60

Step-by-step explanation:

Divide the larger denominator with the smaller denominator.

60/15 = 4

Use this number and multiply this to the numerator to get the unknown.

4*9=36

A spinner and 4 cards are shown below: A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them. Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected?

Answers

The probability that the spinner stops at purple and a pink card is selected is 80%.

We have given that,a spinner with 5 equal sectors is shown in the figure.

What is the formula probability?

$P=(number of feverable outcome )/(Total number of outcome )$

The spinner has a 1/5 chance of landing on purple, since the number of favorable outcomes is the numerator, and the number of possible outcomes is the denominator.

There are total four cards, which means we have a 1/4 chance of picking pink,

for the samereason as above.

Therefore 1/5 x 1/4 = 4/5

4/5 =0.80= 80% chance.

To learn more about the probability visit:

brainly.com/question/25870256

Help please! absolute value equations!

Answers

Answer:

n = -1 n = -7

Step-by-step explanation:

5| 2n+8| +3 = 33

Subtract 3 from each side

5| 2n+8| +3-3 = 33-3

5| 2n+8| = 30

Divide by 5

5/5| 2n+8| = 30/5

| 2n+8| = 6

An absolute value equation has two solutions, one positive and one negative

2n+8 = 6 2n+8 = -6

Subtract 8 from each side

2n+8-8=6-8 2n+8-8 = -6-8

2n = -2 2n = -14

Divide by 2

2n/2 = -2/2 2n/2 = -14/2

n = -1 n = -7

What are five ways to determine if a quadrilateral is a parallelogram?

Answers

opposite sides are parallel, opposite angles are equal, no curves (only straight lines), there are only 4 sides, and 4 angles,

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