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2 years ago

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

Mathematics

1 answer:

Bogdan [553]2 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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I need help 2(4+2x)≥5x+5

timofeeve [1]

Answer:

x ≤ 3

General Formulas and Concepts:

Pre-Algebra

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Step-by-step explanation:

Step 1: Define

Identify

2(4 + 2x) ≥ 5x + 5

Step 2: Solve for x

[Distributive Property] Distribute 2: 8 + 4x ≥ 5x + 5
[Subtraction Property of Equality] Subtract 5x on both sides: 8 - x ≥ 5
[Subtraction Property of Equality] Subtract 8 on both sides: -x ≥ -3
[Division Property of Equality] Divide -1 on both sides: x ≤ 3

5 0

2 years ago

Caroline is making some table decorations.

jolli1 [7]

Answer:

Caroline buys 3 packs of candles and 5 packs of holders.

Step-by-step explanation:

1.) You need to add numbers of candle packs together until they both reach the same number, for example, multiples of 30 are 30, 60, 90.

2.) Then you add multiples of the holders. 18, 36, 54, 72, 90.

3.) You find that Caroline buys 3 pakcs of candles and 5 packs of holders to have the same number of both.

6 0

3 years ago

In a group of equal number of men and women 10% men and 45% women are suffering from Malaria.What is probability a peraon select

Kaylis [27]

Answer:

The probability a person selected random is not suffering from Malaria is 0.725.

Step-by-step explanation:

Denote the events as follows:

X = a person is suffering from Malaria

M = a man

W = a woman

The information provided is:

P (M) = P (W) = 0.50

P (X|M) = 0.10

P (X|W) = 0.45

Compute the probability a person selected random is suffering from Malaria as follows:

$P(X)=P(X|M)P(M)+P(X|W)P(W)$

$=(0.10\times 0.50)+(0.45\times 0.50)\\\\=0.05+0.225\\\\=0.275$

Then the probability a person selected random is not suffering from Malaria is:

P (X') = 1 - P (X)

= 1 - 0.275

= 0.725

4 0

2 years ago

I need help on that question

Anika [276]

Answer:

the required answer is

$80 \sqrt{3}$

Step-by-step explanation:

here's the solution : -

=》

$4 \sqrt{5} \times 4 \sqrt{15}$

=》

$4 \sqrt{5} \times 4 \sqrt{5} \times \sqrt{3}$

=》

$4 \times 4 \times 5 \times \sqrt{3}$

=》

$80 \sqrt{3}$

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2 years ago

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irina [24]

Approximately 3.47 meters is equal to 11.4 feet

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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.