2 years ago

If f(–5) = 0, what are all the factors of the function f (x ) = x cubed minus 19 x + 30? Use the Remainder Theorem.

Mathematics

1 answer:

oksian1 [2.3K]2 years ago

4 0

(x + 5) (x - 2) (x - 3)

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Find the point, M, that divides segment AB into a ratio of 5:2 if A is at (1, 2) and B is at (8, 16).

d1i1m1o1n [39]

Since M divides segment AB into a ratio of 5:2, we can say that M is 5/(5+2) of the length of AB. Therefore 5/7 × AB.
distance of AB = d
5/7×(x2 - x1) for the x and 5/7×(y2 - y1) for the y
5/7×(8 - 1) = 5/7 (7) = 5 for the x
and 5/7×(16 - 2) = 5/7 (14) = 10 for the y
But remember the line AB starts at A (1, 2),
so add 1 to the x: 5+1 = 6
and add 2 to the y: 10+2 = 12
Therefore the point M lies exactly at...
A) (6, 12)

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3 years ago

The Wonderful Widget Company's earnings have declined to the point where they need to reduce the number of employees from 1500 1

AleksandrR [38]

Answer:6%

Step-by-step explanation:

Decrease = 1500 - 1410= 90

% decrease = (90/1500)*100%

= 6%

7 0

3 years ago

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