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Makovka662 [10]
3 years ago
6

1.Nehru and Isabel each have part-time jobs. Nehru is paid a constant amount of dollars for each hour that she works. Isabel was

paid a certain amount of money at the time she was hired, and she also is paid a constant amount of dollars for each hour that she works. The table shows Nehru's total pay and Isabel's total pay for the selected number of hours worked. Nehru and Isabel's total pay will be the same if they work which of the following number of hours?
2x-4y=10
3x-6y=r
2.Which of the following statements could be used to support the given value of r that creates a system of equations with infinitely many solutions?

Group of answer choices

10 because then the associated lines would be parallel.

15 because then the associated lines would be parallel.

15 because then the associated lines would be coinciding.

10 because then the associated lines would be coinciding.
help plzzz
Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0

Answer:

1) 17

2) 15 because then the associated lines would be coinciding

Step-by-step explanation:

1.) 17

2.)

<u>2x - 4y = 10</u>

<u>3x - 6y = r</u>

<u>Step 1</u>

First lets try to <u>substitute r with 10</u>

and that looks like

<em><u> *Look at the second image*</u></em>

<u><em>And it has No Solution because they are parallel </em></u>

<u><em>so we can cross out B and C</em></u>

<u>Step 2</u>

So lets try to substitute r with 15

and that looks like

<em><u>*Look at the First image*</u></em>

<u><em>It might look like there is only one line but there are actually 2 and they are on top of each other </em></u>

<em><u>So that means that they are not parallel but they are coinciding</u></em>

So we can cross A out and that means the answer is D

<u>Step 3</u>

So the answer is 15 because then the associated lines would be coinciding

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The required polynomial is P(x)=x^4-10x^3+46x^2-96x+72.

Step-by-step explanation:

If a polynomial has degree n and c_1,c_2,...,c_n are zeroes of the polynomial, then the polynomial is defined as

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It is given that the polynomial R has degree 4 and zeros 3 − 3i and 2. The multiplicity of zero 2 is 2.

According to complex conjugate theorem, if a+ib is zero of a polynomial, then its conjugate a-ib is also a zero of that polynomial.

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R(x)=((x-3)+3i)((x-3)-3i)(x-2)^2

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Therefore the required polynomial is P(x)=x^4-10x^3+46x^2-96x+72.

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I hope this helps you



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