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frez [133]
3 years ago
11

Given f(x)=x^3+2x+k. and x+1 is a factor of f(x), then what is the value of k?

Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0

Answer:

k = 3.

Step-by-step explanation:

By the Factor Theorem. if x+a is a factor of f(x)  then f(-a) = 0.

Here we use f(-1):

f(-1) = (-1)^3 + 2(-1) + k = 0

-1 - 2 + k = 0

k = 3.

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Debora [2.8K]
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y = -(3^2) + 6(3) - 12 = -9 + 18 - 12 = -3

Vertex (3,-3)
8 0
3 years ago
The average of 4, 9, 16, 25 and x is 2x. What is the value of x? A) 4 B)6 A)9 C)9 D)12
Elodia [21]
The average of 4, 9, 16, 25 and x is 2x means that;
(4+9+16+25+x)/5=2x
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Check:
Substitute x with 6
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(4+9+16+25+6)/5=2(6)
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5 0
3 years ago
What multiple of 8 gets an equal multiple of 9
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72

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5 0
3 years ago
Se tiene 2 metros de tela y se corta el 85% para hacer cortinas el 50% del resto para hacer las tiras que la sujetan.¿cuantos se
zavuch27 [327]

For this case we have the following statement:

<em>"You have 2 meters of fabric and you cut 85% to make curtains, 50% of the rest to make the strips that hold it. How many centimeters of fabric were left?"</em>

So, we have:

2 meters ---------> 100%

x ----------------------> 85%

Where "x" represents the amount of fabric meters equivalent to 85%.

x = \frac {85 * 2} {100}\\x = 1.7

Thus, 1.7 meters of fabric were used to make curtains.

There are 0.3 meters of fabric left, of which half (50%) is used to make the strips that hold the curtain. That is to say:

\frac {0.3} {2} = 0.15m

Thus, 0.15 meters of fabric remain.

0.15 m * \frac {100 cm} {1 m} = 15\ centimeters.

Thus, 15 cm of fabric remain

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15 cm

3 0
3 years ago
Rebecca deposited $5,338.18 into a savings account with an interest rate of 5.9% compounded twice a year. About how long will it
enyata [817]
(See attached graphic)
Years = log (10,000 / 5,538.18) / [2 * log ( 1 + .059 / 2)]
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Years =  </span>0.25663293307 / 2 * 0.012626350954
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3 years ago
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