MATHEMATICS HIGH SCHOOL

Frank solves the system of equations using the linear combination method. 2x+3y=−13x−5y=10

Which steps would allow him to eliminate the y terms in the system of equations?

Multiply 2x+3y=−1 by 3. Multiply 3x−5y=10 by 5. Add the resulting equations together.

Multiply 2x+3y=−1 by 3. Multiply 3x−5y=10 by 2. Add the resulting equations together.

Multiply 2x+3y=−1 by 2. Multiply 3x−5y=10 by 5. Add the resulting equations together.

Multiply 2x+3y=−1 by 5. Multiply 3x−5y=10 by 3. Add the resulting equations together.

Answers

Answer 1

Answer:

Answer:

Multiply 2x + 3y = −1 by 5. Multiply 3x − 5y = 10 by 3. Add the resulting equations together.

Step-by-step explanation:

To eliminate the y-term. we must multiply both equations by values that make the coefficients of y opposite in sign.

2x + 3y = -1 (1)

3x - 5y = 10 (2)

The easiest way to do this is to multiply Equation (1) by 5

and Equation (2) by 3.

5 × [2x + 3y = -1]

3 × [3x - 5y = 10]

Then, add the two equations.

10x + 15y = -5

9x - 15y = 30

19x = 25

Conclusion: Multiply 2x + 3y = −1 by 5. Multiply 3x − 5y = 10 by 3. Add the resulting equations together.

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Dylan’s essential (fixed) expenses are $900 per month, his essential (flexible) expenses are $400 per month, and his non-essential expenses are $295 per month. His 401-K retirement account has $12,000, and his emergency fund savings account has $3500. Dylan wants an emergency fund of 3 times monthly living expenses. How much more does Dylan need to save to have an adequate emergency fund?a. $1,450
b. $5,200
c. $1,285
d. $8,500

Answers

The Following "Verified" Answer is wrong. On Financial Math the answer is...

$1,285

Answer:

Option C. $1,285 more Dylan need to save.

Step-by-step explanation:

Dylan's essential (fixed) expenses = $900 per month

His essential (flexible) expenses = $400 per month

His non-essential expenses = $295 per month

Total expenses per month = 900 + 400 + 295 = $1595.00

He wants an emergency fund of 3 times monthly living expenses

= $1595 × 3 = $4,785.00

currently, in Dylan's emergency fund account = $3,500

Dylan need to save more = 4,785 - 3,500 = $1,285.00

Dylan need to save $1,285 more to have an adequate emergency fund.

Marty's cat weighs 10.4 pounds. this is 24.4 pounds less than the weight of marty's dog. how much does marty's dog weigh?

Answers

I hope this helps you

dogs-24,4=10,4

dog=34,8

Find the perimeter of the following rectilinear figure.

Answers

Answer:

Step-by-step explanation

You can't find the other sides, it may seem impossible, but you have to look at this problem in a different way. To find the perimeter of any figure you just need to know the top base, bottom base, right side, and left side.

We see that the top base equals to the bottom base as it is a rectilinear figure. You have to treat the side with 8 and side with 5 as one base. So they equal 13. Now do the same for the bottom.

So, 13 + 13 = 26

The right side is equal to the left side as it is a rectilinear figure, so the right side is 4 + 10 = 14. The left side is also 14.

So 14 + 14 = 28

26 + 28 = 54 units

Sorry, if I couldn't explain properly. I tried my best. As it is hard for me to explain in words. If I could draw it out, I could do better.

Answer:

Step-by-step explanation:

I broke the sections apart and then added:

14+14=28

13+13=26

26+28=54

2. You spin a spinner that has eight equal-sized sections numbered one to eight. Which event isleast likely to occur?
The number is even.
The number is less than three.
The number is greater than three.
The number is a multiple of five.

Answers

Answer:

Getting a multiple of 5 is the least likely outcome.

Step-by-step explanation:

We spin a spinner that has 8 equal-sized sections numbered 1 - 8.

We have to find which is the least likely to occur.

The number is even when outcomes are 2,4,6 or 8.

Number of outcomes = 4

If the number is less than 3, the number of possible outcomes are 2 that is 1 and 2.

If the number is greater than 3 , number of possible outcomes is 5 which are 4,5,6,7 and 8.

If the number is a multiple of 5, only 1 outcome is there which is 5 itself.

Hence getting a multiple of 5 is the least likely outcome.

Are the following functions linear or nonlinear? Drag the tiles to complete the statements.Tiles may be used once, more than once, or not at all.
Function B
Function A
6 9 12
10 15 20
x 3
y 5
15
y
A
25
9
8
7
6
5
4
3
2.
1
0
0 1 2 3 4
5
6 7
8 9

Answers

Answer:

Nonlinear

Step-by-step explanation:

Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 162 = 2(x + k)(x − k)(x + 9)

k= ____________

Answers

If you would like to know the value of the coefficient 'k' in the factored form, you can find this using the following steps:

2x^3 + 18x^2 - 18x - 162 = 2 * (x^3 + 9x^2 - 9x - 81) = 2 * (x^2(x + 9) - 9(x + 9)) = 2 * ((x + 9) * (x^2 - 9)) = 2 * (x + 9) * (x - 3) * (x + 3) = 2 * (x + 3) * (x - 3) * (x + 9)

The correct result would be: k = 3.

Answer: THE ANSWER IS 3

Step-by-step explanation:

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