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3 years ago

What is the sum of the polynomials? (7x^3 – 4x^2) + (2x^3 – 4x^2) 5x^3 9x^3 5x^3 – 8x^2 9x^3 – 8x^2

Mathematics

2 answers:

Natalka [10]3 years ago

7 0

Answer:

$\large\boxed{9x^3-8x^2}$

Step-by-step explanation:

$(7x^3-4x^2) + (2x^3-4x^2)\\\\=7x^3-4x^2+2x^3-4x^2\\\\\text{combine like terms}\\\\=(7x^3+2x^3)+(-4x^2-4x^2)\\\\=9x^3-8x^2$

sveticcg [70]3 years ago

5 0

Answer:

9x^3 - 8x^2

Step-by-step explanation:

Let's simplify step-by-step.

7x^3−4x^2+2x^3−4x^2

=7x^3+−4x^2+2x^3+−4x^2

Combine Like Terms:

=7x^3+−4x^2+2x^3+−4x^2

=(7x^3+2x^3)+(−4x^2+−4x^2)

=9x^3+−8x^2

I hope this helps you ! :))

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What is 1102 using the polynomial identity (a+b)2=a2+2ab+b2 ?

Virty [35]

Answer:

"Let the smaller value a = 10 and the larger value b = 100. Than a^2 + 2ab + b^2 is 10^2 + 2 * 10 * 100 + 100^2. This can be simplified to 12100. So, 110^2 is equal to 12100."

Hope this helped!

7 0

2 years ago

Read 2 more answers

The numbers 1 through 15 are written on cards. One card is chosen at random. Event A is choosing a

lana [24]

Step-by-step explanation:

the probability is always the number of desired cases over the number of all possible cases.

in our situation we have 15 cards.

that is the total possible cases when a random card is chosen.

how many desired cases do we have ?

a number NOT a multiple of 5.

how many are there ?

it is easier to say how many numbers there are being a multiple of 5 : 5, 10, 15

so, 3 numbers out of the 15 are multiple of 5.

that means

15 - 3 = 12 numbers of the 15 are NOT multiples of 5.

so, the probability to draw a card that is not a multiple of 5 is

12/15 = 4/5 = 0.8

the information about event B and even numbers is irrelevant for the question.

6 0

1 year ago

As a promotion, a clothing store draws the name of one of its customers each week. The prize is a coupon for the store. If the w

kompoz [17]

The given formula is f(x) = 20(1.2)^x

The formula is the starting amount multiplied by 1 + the percentage raised to the number of weeks.

A) the percent increase is 20% ( 1.2 in the formula is 1 +20% as a decimal)

B) the original amount is $20

C) for 2 weeks, replace x with 2 and solve:

20(1.2)^2

20(1.44) = $28.80

After 2 weeks the coupon is $28.80

D) To solve for the number of weeks (x) set the equation equal to $100:

100 = 20(1.2)^x

Divide both sides by 20:

5 = 1.2^x

Take the natural logarithm of both sides:

ln(5) = ln(1.2^x)

Use the logarithm rule to remove the exponent:

ln(5) = x ln(1.2)

Divide both sides by ln(1.2)

x = ln(5) / ln(1.2)

Divide:

X = 8.83

At 8.83 weeks the coupon would be $100, so after 9 weeks the coupon would be greater than $100

The answer is 9 weeks.

4 0

3 years ago

I need help with numbers 20,21,and22

julsineya [31]

Answer:

20) the answer is -43

21) the answer is 25

22)the answer is -5

Step-by-step explanation:

20) $\frac{p(p+n^{2})}{6}$

n=-7

p=-6

we have:

$\frac{-6*(-6+(-7)^{2})}{6}\\\\\frac{-6*(-6+49)}{6}\\\\\frac{-6*(43)}{6}\\\\\frac{-258}{6} \\-43$

21) mp-(p-(m-n))

m= -1 n=-6 p=-10

-1*-10-(-10-(-1-(-6)))

10-(-10-(5))

10-(-15)

10+15=25

22) $m-\frac{m+m}{2} - n$

m=1 n=5

1- $\frac{1+1}{2} -5$

1- 2/2 -5

1-1-5 =-5

6 0

3 years ago

Jimmy’s new cell phone cost him $49.99 when he signed a 2 year plan, which was 75% off the original place. What was the original

Sati [7]

If Jimmy's new cell cost him $49.99 with a 75% discount, then $49.99 is 100%−75%=25% of the original price.

The original price of the cell phone was $199.96.

6 0

3 years ago