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aev [14]
2 years ago
5

What is the sum? (2x + 4)/(x + 1) + (- x + 5)/(x + 1) (x - 1)/(x + 1) (1 - 1)/(2x + 2) (x + 9)/(x + 1) (x + 9)/(2x + 2)

Mathematics
1 answer:
butalik [34]2 years ago
4 0

Answer:

Step-by-step explanation:

Since they already have a common denominator of x+1 we can add the numerators

(2x+4-x+5)/(x+1)

(x+9)/(x+1)

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Which polynomial function has a leading coefficient of 1 and roots (7 i) and (5 – i) with multiplicity 1? f(x) = (x 7)(x – i)(x
Nuetrik [128]

It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.

The simplest polynomial with these characteristics would be

f(x) = (x - (7 + i)) (x - (5 - i))

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

f(x) = (x - (7 + i)) (x - (7 - i)) (x - (5 - i)) (x - (5 + i))

which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:

f(x) = (x^2 - (7^2 - i^2)) (x^2 - (5^2 - i^2)) = (x^2 - 8) (x^2 - 6) = x^4 - 14x^2 + 48

5 0
2 years ago
Help plsss thankss
klasskru [66]

Answer:

The coefficient of the quadratic term ,a,determines how wide or narrow the graphs are, and

weather the graph turns upward or downward

Step-by-step explanation:

this is your answer

5 0
1 year ago
Find an equation for the line that passes through the point (-3, 6), parallel to the line through the points (0,-7) and (4,-15).
Vitek1552 [10]
Broken down into steps:

1.  Find the slope of the line segment that connecs the points (0,-7) and (4,-15).

2.  Start with the point-slope formula for the equation of a straight line:

y-b = m(x-a), where the given point is (a,b).  Borrow the value of m that you calculated in (1), above, and insert it into this point-slope formula.
Finish up by subst. the x- and y-values in (-3,6) into this formula.

Done!

You could, of course, solve this result for y if you wished.
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Ghella [55]

Answer:

13√2

Step-by-step explanation:

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6 0
2 years ago
Read 2 more answers
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MAVERICK [17]
Mark points (0,0), (-1,-1), (1,-1), (-2,-4), (2,-4)
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