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Leya [2.2K]
3 years ago
8

Can someone please help me with this problem ASAP thank you

Mathematics
1 answer:
Step2247 [10]3 years ago
6 0

3-degree polynomial is f(x )= [x^{3 }-\frac{9}{7} x^{2}+9x-\frac{81}{7} ]

Step-by-step explanation:

Given that polynomial f(x) is 3-degree polynomial and Zeros/Roots at x= \frac{9}{7} and x= -3i

In order to find the equation of a 3-degree polynomial, we need 3 roots.

Here, One of Root is real number x=\frac{9}{7} and another root is an imaginary number x=(-3i)

It is necessary to note that imaginary roots always come in pair of conjugates

Therefore, Comjugate0 of x =(-3i) is 3rd root

Conjugate of (-3i) is 3i

Evaluting equation of polynomial,

=[x-3i][x+3i][x-\frac{9}{7} ]

=[x^{2}-(3i)^{2}][x-\frac{9}{7} ]

=[x^{2}-(9)(i)^{2}][x-\frac{9}{7} ]

=[x^{2}+9][x-\frac{9}{7} ]

f(x )= [x^{3 }-\frac{9}{7} x^{2}+9x-\frac{81}{7} ]

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Answer: C. t+r\leq 25

25t+12r\geq 200


Step-by-step explanation:

If 't' represents the number of hours Joanne tutors and 'r' represents the number of hours she works as a receptionist.

Then the total hours she can work=t+r

Since she can work up to 25 hours.

Thus t+r\leq 25

If she earns $25 per hour by tuition and $ 12 per hour by working as a receptionist .

Then her total earning =$25t+12r

Since she must earn $200.

Then 25t+12r\geq 200.

Therefore, the required system of inequality will be

t+r\leq 25

25t+12r\geq 200

4 0
4 years ago
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Korolek [52]
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4 0
3 years ago
CAN SOMEONE HELP ME UNDERSTAND THIS PLEASE
ICE Princess25 [194]

YEAH OFC SHAWTY!

  • so for A its -4^11 because if the powers have the same base and they are being multiplied you add the powers
  • For B its the same idea, they have the same base, and are being multiplied so you add the powers- 13^9
  • For C its similar, you have the same base, but since its Dividing, you subtract the powers. So, 9^5
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I cant do 2 right now, but i will in a minute

<u>And for 3 his mistake is that they arent the same bases so he cant add the powers, he should have converted them to the same base first. </u>

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3 years ago
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3 years ago
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