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Verdich [7]
3 years ago
10

Clear parenthesis and combine like terms. -2(x-4) -3(x+2y) Show all the work.

Mathematics
2 answers:
Nimfa-mama [501]3 years ago
6 0

Answer: -5x + 8 - 6y

Step-by-step explanation:

<u>Given expression</u>

-2 (x - 4) - 3 (x + 2y)

<u>Expand parentheses and apply the distributive property</u>

= -2x + 8 - 3x - 6y

<u>Combine like terms</u>

= (-2x - 3x) + 8 - 6y

= \boxed{-5x+8-6y}

Hope this helps!! :)

Please let me know if you have any questions

Helen [10]3 years ago
4 0

Answer:

-5x - 6y + 8

Step-by-step explanation:

-2(x - 4) -3(x + 2y)

-2x + 8 - 3x - 6y

-5x - 6y + 8

Hope this helps!

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A payday loan company charges a $90 fee for a $500 payday loan that will be repaid in 16 days.
Korolek [52]

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Interest amount paid on loan = $90

Principal value, amount borrowed = $500

Period, t = 16 days

The equivalent annual interest :

Using the simple interest formula :

simple interest = principal * rate * time

Using, days of year = 365

Plugging in the values into the formula :

90 = 500 * rate * (16/365)

90 = 500 * rate * 0.0438356

90 = 21.917808 * rate

Rate = 90 / 21.917808

Rate = 4.10 = 4.10 * 100% = 410%

If days of year = 360 is used :

90 = 500 * rate * (16/360)

Rate = 90 / 22.222

Rate = 4.05 = 4.105 * 100% = 405%

5 0
3 years ago
Factor out the greatest common factor.<br> 14x2 - 4x
stira [4]

Answer:

The greatest common factor of 14x² - 4x is: 2x

Step-by-step explanation:

Given the expression

14x² - 4x

The first step is to factor out the greatest common factor from each term

14x² = 2 · 7 · 14 · x · x

4x = 2 · 4 · x

so

G.C.F = 2 · x

G.C.F = 2x

Therefore, the greatest common factor of 14x² - 4x is: 2x

6 0
3 years ago
If a=6, which of the following is equal to a^-2<br> -12<br> 1/6^2<br> 6^2<br> -36
uranmaximum [27]

Answer:

b

Step-by-step explanation:

4 0
2 years ago
If cos theta=-3/5 in quadrant 2 what is sin theta?<br><br> A:4/5<br> B:3/4<br> C:-3/4<br> D:-4/5
Scrat [10]
Answer: Choice A) 4/5

-------------------------------------------

Work Shown:

cos^2(theta) + sin^2(theta) = 1
(-3/5)^2 + sin^2(theta) = 1
9/25 + sin^2(theta) = 1
9/25 + sin^2(theta) - 9/25 = 1 - 9/25
sin^2(theta) = 1 - 9/25
sin^2(theta) = 25/25 - 9/25
sin^2(theta) = (25 - 9)/25
sin^2(theta) = 16/25
sqrt[sin^2(theta)] = sqrt[16/25]
sin(theta) = 4/5

The fact that sine is positive in quadrant 2 means that the result is positive.
8 0
3 years ago
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1. True
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