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3 years ago

If x-3 is a factor of x3+4x2+kx-30.Find the value of k.

Mathematics

1 answer:

Bogdan [553]3 years ago

3 0

Answer:

k=-11

Step-by-step explanation:

$x^{3}+4x^{2}+kx-30$

if $x-3$ is a factor,

$(3)^{3}+4(3)^{2}+k(3)-30=0\\27+4*9+3k-30=0\\27+36+3k-30=0\\33+3k=0\\3k=-33\\k=-11$

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PLEASE ANSWER WITH ALL THE MATH

Colt1911 [192]

9514 1404 393

Answer:

Jacob: 4
his mother: 39

Step-by-step explanation:

Let J and M represent the current ages of Jacob and his Mother.

<u>currently</u>:

M = 3 +9J

<u>in 11 years</u>:

M+11 = 5 +3(J+11)

Using the first equation to substitute for M in the second, we have ...

(3 +9J) +11 = 5 +3(J +11) . . . . . substitute for M

9J +14 = 3J +38 . . . . . . simplify

6J + 24 . . . . . . . . . . subtract 3J+14

J = 4 . . . . . . . . . . divide by 6

M = 3 +9(4) = 39

Jacob is 4 and his mother is 39.

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2 years ago

Find the mode of the following data:

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Answer:

Step-by-step explanation:

The data which has higher frequency in the given data set is the mode.

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2 years ago

Drake knows that the ratio of eggs to cups of milk in his favorite pancake recipe is 3:5. He finds four pancake recipes for larg

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Answer:

Ratios are proportional when the numbers in the ratio are multiply or divide by the same number. Ex. 3:5 = 6:10 = 12:20 = 9:15 (cross multiply the fractions and the results are the same 3/5 = 6/10)

Step-by-step explanation:

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2 years ago

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3 years ago

Read 2 more answers

Three cards are randomly selected from a standard 52-card deck, one at a time, with each card re- placed in the deck before the

hammer [34]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

Three cards are randomly selected from a standard 52-card deck.

Number of heart cards in a deck = 13

Each card replaced in the deck before the next one is picked.

Probability of first card is heart = $P_{1}=\frac{13}{52}$

After replacement, the probability of second card is heart = $P_{2}=\frac{13}{52}$

after replacement, the probability of third card is heart = $P_{3}=\frac{13}{52}$

P = $\frac{13}{52}$ × $\frac{13}{52}$ × $\frac{13}{52}$

= $\frac{39}{156}$

= $\frac{1}{4}$

The probability of all three cards are hearts is $\frac{1}{4}$

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3 years ago

If x-3 is a factor of x3+4x2+kx-30.Find the value of k.​

If x-3 is a factor of x3+4x2+kx-30.Find the value of k.