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1 year ago

Please help thank you

Mathematics

1 answer:

PtichkaEL [24]1 year ago

4 0

Answer:

(d) y = -5/2x -3

Step-by-step explanation:

All of the offered choices are in slope-intercept form, so it makes sense to put the given equation in that form. Solving for y, we get ...

5x +2y = -4

2y = -5x -4 . . . . . subtract 5x

y = -5/2x -2 . . . . . divide by 2

The system of equations will have <em>no solution</em> if the equations are "inconsistent." That will be the case when the slope is the same, but the y-intercepts are different. That means you're looking for an answer of the form ...

y = -5/2x +c . . . . . . where c is not -2

This matches the last choice:

y = -5/2x -3

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3 years ago

4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4

eduard

Answer:

Step-by-step explanation:

We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:

$a_n=a_1+d(n-1)$ and we are given enough info to fill in:

$a_n=-35+4(n-1)$ and

$a_n=-35+4n-4$ and

$a_n=-39+4n$ or in linear format:

$a_n=4n-39$ where n is the position of the number in the sequence. We already know the first term is -35.

The second term:

$a_2=4(2)-39$ so

$a_2=8-39$ and

$a_2=-31$

The third term:

$a_3=4(3)-39$ and

$a_3=12-39$ so

$a_3=-27$ and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.