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vesna_86 [32]
3 years ago
10

Is the term (x+2) a factor of the polynomial f(x)=x^3-10x^2+27x-12

Mathematics
1 answer:
Viefleur [7K]3 years ago
6 0
No.

f(-2) = -114, not zero.
(x-4) is the only rational factor of f(x).

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After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups construct a function in the form y =mx+ to
gladu [14]

Answer:

<em> y = 4.25x</em>

Step-by-step explanation:

Given that:

After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups, we can write this in coordinate form (x, y) where;

y is the amount of dog food

x is the time in weeks

The coordinates are (2, 8 1/2) and (5, 21 1/4)

get the slope m:

m = y2-y1/x2-x1

m = (21 1/4 - 8 1/2)/5-2

m = (85/4-17/2)/3

m = (85-34/4)/3

m = 51/12

m = 4.25

Get the intercept c:

Substitute any of the points say (2, 17/2) and m = 51/12 into the equation

y = mx+c

17/2 = 51/12(2) + c

17/2 = 51/6 + c

c = 17/2 - 51/6

c = 51-51/6

c = 0

Get the required equation:

substitute m - 4.25 and c = 0 into y = mx+c

y = 4.25x + 0

<em>Hence the required equation is y = 4.25x</em>

<em></em>

8 0
3 years ago
Which of the following represents a geometric series (remember what a series is as opposed to a sequence)?
juin [17]

Answer:

4 + 12 + 36 + ...

Step-by-step explanation:

4, 12, 36, ... is a geometric sequence, it has a common ratio of r=\frac{36}{12}=\frac{12}{4}=3

When we add the terms of a geometric sequence we get a geometric series.

4+12+36+ ... is a geometric series, it has a common ratio of r=\frac{36}{12}=\frac{12}{4}=3

4 + 12 + 20 + ... is not a geometric series because it has no common ratio

\frac{20}{12}\ne \frac{12}{4}

The second choice is correct

8 0
3 years ago
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Ber [7]

Answer:

Everyone in the kingdom of Egypt was under the control of the pharaoh and it was believed that the pharaoh must obey the wishes of the ________.

Priests

Citizens

No one

Gods

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
1. How much greater is -20x^2+5x+17 than -19x^2+20x+18
ehidna [41]

Answer:

1. -x²-15x-1

2. -33x⁷+10x⁶-14x⁵+4x⁴+11x²-5x+32

Step-by-step explanation:

-20x^2+5x+17 - (-19x^2+20x+18)

-20x² + 19x² + 5x - 20x + 17 - 18

-x² - 15x - 1

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8 0
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Triangles ABC and DEF are similar
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Answer:did U Get the answer or no

Step-by-step explanation:

Did u get the answers cuz I got the same question

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