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Elena L [17]
1 year ago
11

A2 − 6) and (a2 + 4) are the factors of

Mathematics
1 answer:
I am Lyosha [343]1 year ago
3 0

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial whose factors are (a²-6) and (a²+4) is a⁴ - 2a² - 24.

<h3>What is a polynomial?</h3>

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Example: x²+3x+5 is a polynomial.

The polynomial whose factors are (a²-6) and (a²+4) is,

P(x) =  (a²-6)(a²+4)

      = a⁴ + 4a² - 6a² - 24

      = a⁴ - 2a² - 24

Hence, The polynomial whose factors are (a²-6) and (a²+4) is a⁴ - 2a² - 24.

Learn more about Polynomials:

brainly.com/question/27343162

#SPJ1

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Two college roommates have each committed to donating to charity each week for the next year. The roommates’ weekly incomes are
schepotkina [342]

Answer:

C. 5 weeks.

Step-by-step explanation:

In this question we have a random variable that is equal to the sum of two normal-distributed random variables.

If we have two random variables X and Y, both normally distributed, the sum will have this properties:

S=X+Y\\\\\ \mu_S=\mu_X+\mu_Y=30+60=90\\\\\sigma_S=\sqrt{\sigma_X^2+\sigma_Y^2}=\sqrt{10^2+20^2}=\sqrt{100+400}=\sqrt{500}=22.36

To calculate the expected weeks that the donation exceeds $120, first we can calculate the probability of S>120:

z=\frac{S-\mu_S}{\sigma_S} =\frac{120-90}{22.36}=\frac{30}{22.36}=1.34\\\\P(S>120)=P(z>1.34)=0.09012

The expected weeks can be calculated as the product of the number of weeks in the year (52) and this probability:

E=\#weeks*P(S>120)=52*0.09012=4.68

The nearest answer is C. 5 weeks.

6 0
2 years ago
the sum of nine times a number and fifteen is less than or equal to the sum of twenty four and ten times the number
lana66690 [7]
9n + 15 < = 10n + 24
9n - 10n < = 24 - 15
-n < = 9
n > = -9
8 0
3 years ago
If someone could please help me I’m confused thanks:)
Sedbober [7]
<h3>Answer:  x = 45</h3>

Work Shown:

x+x+90 = 180 .... all three angles of a triangle add to 180

2x+90 = 180

2x = 180-90

2x = 90

x = 90/2

x = 45

This is a 45-45-90 right triangle. We also consider it an isosceles right triangle because the base angles (45) are equal.

3 0
2 years ago
Annie goes shopping for vacation She buys 5 beach towels and 3 bathing suits and she spent $56. If the items are all the same pr
Rufina [12.5K]

Answer:

$7

Step-by-step explanation:

5 beach towels + 3 bathing suits = 8 items total bought

$56 spent divided by 8 total items bought = $7 per item

8 0
3 years ago
How do you determine the intercepts from an equation or graph
sukhopar [10]
<span> When you want the x </span>intercepts<span> (x,0):. Set y=0 then solve for x</span>
3 0
2 years ago
Read 2 more answers
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