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3 years ago

Solve (x^2+3x-2)(x^2-2x+15)

Mathematics

1 answer:

8_murik_8 [283]3 years ago

3 0

Answer: x^4 + x^3 + 7x^2 + 49x - 30

Step-by-step explanation:

first, we use the distributive property.

x^2 x (x^2 - 2x + 15) + 3x x (x^2 -2x + 15) - 2(x^2 - 2x + 15)

then, we remove the parenthesis.

x^4 - 2x^3 + 15x^2 + 3x^3 - 6x^2 + 45x - 2x^2 + 4x - 30

then, we collect like terms.

x^4 + x^3 + 7x^2 + 49x - 30

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pentagon [3]

Answer:

Step-by-step explanation:

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3 years ago

A candidate for mayor plans to campaign at 5 shopping malls before the election. In how many different ways can the candidate sc

Svetlanka [38]

Answer:

120 different ways

Step-by-step explanation:

For the first shopping mall being visited, the candidate has 5 options

Then, for the second mall being visited, there is only 4 options, as one mall was already visited.

Following this logic, there is 3 options for the third mall, 2 options for the fourth mall and 1 option for the last mall.

So the total number of ways that the visits can be scheduled is the product of all these options:

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3 years ago

Below is the table of values of a function. Write the output when the input is n.

attashe74 [19]

Answer:

output = n + 2

Step-by-step explanation:

from the table of input/ output values

2 → 4 is 2 + 2 = 4

5 → 7 is 5 + 2 = 7

9 → 11 is 9 + 2 = 11

Thus to obtain the output add 2 to the input

When input is n then output is n + 2

3 0

2 years ago

Jeannie is an experienced business traveler, often traveling back and forth from San Francisco to the East Coast several times p

lesya692 [45]

Answer:

The probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour is 0.0026.

Jeannie should leave her office 55 minutes early.

Step-by-step explanation:

Let X = time it requires Jeannie to catch her plane.

The random variable X is normally distributed, $N(46, 5)$ .

Compute the probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour as follows:

$P(X>60)=P(\frac{X-\mu}{\sigma} >\frac{60-46}{5} )\\=P(Z>2.8)\\=1-P(Z$

The probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour is 0.0026.

Now, it is provided that Jeannie has 96% chance of catching her flight if she reaches under x minutes.

That is, P (X < x) = 0.96.

Compute the value of x as follows:

$P(X$

**Use the z-table to compute the value of z.

The value of z is 1.751.

Compute the value of x as follows:

$z=\frac{x-46}{5}\\ 1.751=\frac{x-46}{5}\\x=46+(1.751\times5)\\=54.755\\\approx 55$

Thus, Jeannie should leave her office 55 minutes early.

4 0

3 years ago

The diagram shows a triangle.

Basile [38]

Answer:

s=13

Step-by-step explanation:

$As\ we\ know\ that,\\"The \ sum\ of\ all\ angles\ of\ a\ triangle\ is\ 180"\\Hence,\\(4s+9)+(3s+1)+(6s+1)=180\\4s+3s+6s+9+1+1=180\\13s+11=180\\13s=180-11\\13s=169\\s=13$

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3 years ago

Solve (x^2+3x-2)(x^2-2x+15)​

Solve (x^2+3x-2)(x^2-2x+15)