Factor x2 + 11x + 30.

Answers

Answer 1
Answer: Solution- (x+5)(x+6)

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An angle measuring (870n)° is in standard position. For which value of n will the terminal side fall along the positive portion of the y-axis?n = 3
n = 4
n = 5
n = 6

Answers

Answer:  

n = 3

Step-by-step explanation:

The terminal side of an angle fall along the positive portion of the y-axis,

If it can written in the form of (90°)a

Where a is any positive odd integer,

Here, the given angle is,

(870n)°,

For n = 3,

Our angle will be 2610°

Its terminal side fall along the positive portion of the y-axis,

If 2610° = (90°)a ⇒ a = 29 ( Positive odd integer )

Thus, for n = 3,  the terminal side of the angle (870n)° falls along the positive portion of the y-axis,

For n = 4,

Our angle will be 3480°

Its terminal side fall along the positive portion of the y-axis,

If 3480° = (90°)a ⇒ a = 38.6667 ( Not possible )

Thus, for n = 4, the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis

For n = 5,

Our angle will be 4350°

Its terminal side fall along the positive portion of the y-axis,

If 4350° = (90°)a ⇒ a = 48.333.. ( Not possible )

Thus, for n = 5,  the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis,

For n = 6,

Our angle will be 5220°

Its terminal side fall along the positive portion of the y-axis,

If 5220° = (90°)a ⇒ a = 58 ( Not possible )

Thus, for n = 6,  the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis.

The answer would be n=3

The revenue, in dollars, of a company that produces jeans can be modeled by 2x2 + 17x – 175. The cost, in dollars, of producing the jeans can be modeled by 2x2 – 3x – 125. The number of pairs of jeans that have been sold is represented by x. The profit is the difference between the revenue and the cost, 20x – 50.If 75 pairs of jeans are sold, what is the company’s profit?

Answers

To answer the problem above we apply the given. If x is represented by the number of jeans sold then we only need to substitute x. 20x - 50 = 20(75) - 50 = 1500 - 50 = 1450. Th profit of the company is 1450,

Answer:

B: $1450

Step-by-step explanation:

A con could drink up to 35 gallons of water in a day. How much quarts of water can a cow drink in a whole day

Answers

Answer: Up to 140 quarts.

Step-by-step explanation: There are 4 quarts in one gallon so you just multiply 35 by 4.

Which off the following expressions is equal to -3x^2-12A. (-3x+2i)(x-6i)
B. (-3x-6i)(x+2i)
C. (-3x-6i)(x+2i)
D. (-3x-4i)(x-3i)

Answers

Answer:

B. (-3x-6i)(x+2i)

C. (-3x-6i)(x+2i)

Since they are the same answer choice. Should be (-3x-6i)(x-2i) should be the correct answer.

Step-by-step explanation:

The polynomial -3x^2-12 can be factored using GCF into -3(x^2+4).

x^2+4 is a sum of squares and factors into the form (x+ai)(x-ai).

x^2+4 factors into (x+2i)(x-2i).

We put them together and have -3(x+2i)(x-2i) = (-3x-6i)(x-2i)

What is the volume of the right prism? 5 cm 10 cm 6 cma.2250 cm3
b.1500 cm3
c.150 cm3
d.25 cm3

Answers

I will just give you the answer because I do not feel like explaining it oh what the heck I will do it any ways! it is c because it is LxWxH= your answer that is why it is c

Which angle forms a vertical pair with nsm a.osl b.smn c.snm d.osn

Answers

Answer:  Option 'a' is correct.

Step-by-step explanation:

Since we have given that  ∠NSM,

we need to find is vertical angles of ∠NSM,

1) ∠OSL is a vertical angle of ∠NSM as it has one common vertex and all other are collinear points.

2) ∠SMN can't be vertical angle as  vertical angles must be equal at common vertex but it does not do that it forms angle on M rather than on S.

3) ∠SNM can't be vertical angles as vertical angles must be equal at common vertex but it does not do that it forms angle on N rather than on S.

4) ∠OSN can't be vertical angle as vertical angles must have only one common vertex but in this case it has two common vertex i.e. S and N. so it will be linear pair.

Hence, Option 'a' is correct.