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3 years ago

Two lines, C and D, are represented by the equations given below:

1 answer:

7 0

If you would like to know what is the solution to the system of equations, you can calculate this using the following steps:

y = x + 12
y = 3x + 2
______________
y = y
x + 12 = 3x + 2
12 - 2 = 3x - x
2x = 10
x = 5

y = x + 12 = 5 + 12 = 17

The correct result would be (x, y) = (5, 17); because both lines pass through this point.

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The cost y (in dollars ) to spend an evening bowling is proportional to the number of games x that are bowled. it costs $16 to b

Liono4ka [1.6K]

Answer:

if the question is write an equation to find the total cost of a night of bowling then the answer is

y=16x

y=16(4)

y=64$

Step-by-step explanation:

6 0

3 years ago

A sum of $4000 is invested at 5.5% interest per year. Find the amount of time needed to double the money if it’s compounded mont

musickatia [10]

9514 1404 393

Answer:

C) 12y 8m

Step-by-step explanation:

The amount of principal P at compound monthly at interest rate r per year is given by ...

A = P(1 +r/12)^(12t) . . . . after t years

Here, we want to find t, so ...

A/P = (1 +r/12)^(12t)

log(A/P) = (12t)·log(1 +r/12)

t = log(A/P)/(12·log(1 +r/12))

Filling in the given values, we find t to be ...

t = log(8000/4000)/(12·log(1 +0.055/12)) ≈ 12.6315 ≈ 12 years 7.6 months

It will take about 12 years 8 months to double the money.

8 0

3 years ago

Simplify the expression below. Then classify the resulting expression

evablogger [386]

Answer:

Simplified = 5

Classification = Monomial

Step-by-step explanation:

<h2>PART I: Simplify the expression</h2>

Given expression:

3x² + 6x + 5 - 3x (2 + x)

Expand parenthesis by distributive property:

= 3x² + 6x + 5 - 3x (2) - 3x (x)

= 3x² +6x + 5 - 6x - 3x²

Put like terms together:

= 3x² - 3x² + 6x - 6x + 5

= 0 + 0 + 5

= $\boxed{5}$

<h2>PART II: Classify polynomial</h2>

Concept:

Polynomial is classified by the number of terms a polynomial has.

Monomial: a polynomial with only one term
Binomial: a polynomial with two terms
...

Classify the given expression:

Original = 3x² + 6x + 5 - 3x (2 + x)

Simplified = 5

5 is a constant and it has only one term

Therefore, it is a monomial.

Hope this helps!! :)

Please let me know if you have any questions

3 0

1 year ago

Read 2 more answers

Write the inequality for the graph

Svetach [21]

Answer:

x≤-2

Step-by-step explanation:

it would be that because if the graph is going to the left that means it is less than x and the opposite is for greater than. Now if there is a closed circle that means the sign is equal to hence the line under the sign. So therefore it's x≤-2

5 0

3 years ago

J.K. Rowling and R.L. Stine are both reading the hunger games. J.K. reads 35 pages every 2 hours and R.L. reads 45 pages every 3

Lilit [14]

Attention:THIS IS PART B ONLY!

First,find the unit rate.

35/2 and x/1

35 divided by 2 = 17.5 so the unit rate for J.K. is 17.5 pages per hour.

now,R.L.

45/3 and x/1

45 divided by 3 = 15 so the unit rate for R.L. is 15 pages per hour

now we need to divide 355 by 17.5 and divide it by 15.Whichever quotient is smaller,finishes the book first

355 divided by 17.5 = about 20 hrs----J.K.

355 divided by 15 = about 24 hrs-----R.L.

So,who read faster?

5 0

3 years ago

Read 2 more answers