If f(n) = - 5n - 2, then f(3) is _____.

Answers

Answer 1
Answer: We have f(n) = - 5n - 2
    So f(3) = - 5×(3) - 2  = - 17

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I need to find how many solutions does the system have. ​

Answers

From what I got there is one real solution :)

Rearrange the second equation to give y=2-2x, substitute into the first equation to give you a value for x and then using that you can work out y for the exact coordinates of intersection :)

Also they are both straight line graphs so they will either have one or no solutions

Hope this helped :)

Which equation represents a line that is parallel to the line whose equation is y = -3x - 7?y = 3x + 4
y = -3x + 7
y = (1/3x) + 1
y = (-1/3x) + 2

Answers

Hello,

Only the answer B has the same slope of -3

Suppose you want to factor the expression x2 + 2xn+n?. Given that n>0, what are the factors? Explain.Select the correct answer below and, if necessary, fill in the answer box to complete your choice.

O A. The value of n can be any positive integer resulting in the same factor

O B. The value of n can be any positive integer resulting in the distinct factors

(Use a comma to separate answers as needed.)

O C. The value of n can be any prime integer resulting in the same factor

O

D. The value of n can be any prime integer resulting in the distinct factors

(Use a comma to separate answers as needed.)

O E. The expression cannot be factored for the given values of n.

Answers

Answer:

A. The value of n can be any positive integer resulting in the same factor

Step-by-step explanation:

Given

x^2 + 2xn + n^2 --- the right expression

n > 0

Required

Possible values of n

x^2 + 2xn + n^2

Expand

x^2 + 2xn + n^2 = x^2 + xn+xn + n^2

Factorize

x^2 + 2xn + n^2 = x(x + n)+n(x + n)

Factor out x + n

x^2 + 2xn + n^2 = (x + n)(x + n)

From the expression above, we can see that the result has the same factor. This means that options (b), (d) and (e) are not possible

x^2 + 2xn + n^2 = (x + n)^2

The above also shows that n can take any positive value.

Hence: (a) is correct

The inequality x2 + 12x + 35 ≥ 0 has two critical points and three possible intervals for solutions. Choose each set of possible test points for the three intervals.–8, –6, –4

–10, –6, 0

–6, 0, 6

–6, 0, 10

Answers

The answers are...

-8, -6, -4
-10, -6, 0

Answer:

–8, –6, –4

-10, –6, 0

Step-by-step explanation:

a & b are the correct answers

Kitchen chairs are purchased wholesale for $36 by a discount furniture store. Then, the store marks up the chairs by 60 percent. The store has a special sale where all items are marked down by 20 percent. How much would two chairs cost during the sale?

Answers

As a result of the sale, two chairs can be purchased at the discounted price of $92.16.

After the store bought the chairs for $36, they gave it a markup of 60%. The new price is:

= Cost of chair + Markup

= 36 + (60% x 36)

= $57.60

They then reduced this price by 20%:

= Marked up price - Discount

= 57.60 - (20% x 57.60)

= $46.08

Two chairs are to be bought:

= 46.08 x 2

= $92.16

In conclusion, two chairs would cost $92.16

Find out more at brainly.com/question/18410539.

starts at 36....marks up by 60%
36 + 0.60(36) = 36 + 21.60 = 57.60
now they mark it down by 20%
57.60 - 0.20(57.60) = 57.60 - 11.52 = 46.08

46.08 * 2 = 92.16

Taylor and Abby shared a $55 cash prize in the ratio 2:3. How much money did Taylor get?

Answers

the 2 to 3 ratio means there was 5 equal shares.  because 2 plus 3 is 5

so if you divide 5 into 55 you get 11.  each share is 11.

then multiply 11 by  or 3 (depending on the person) in this case 2 because we want to know about Taylor

2 times 11 is 22.

Taylor got 22 dollars