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n200080 [17]
3 years ago
12

Part A: Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points)

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
8 0

Answer:

x = 6

Step-by-step explanation:

Step 1 - Expand brackets via distributive property:

5(x + 2) = 6x + 3x - 14\\5(x) + 5(2) = 6x + 3x - 14\\5x + 10 = 6x + 3x - 14

Step 2 - Combine like terms:

5x + 10 = 6x + 3x - 14\\5x + 10 = 9x - 14

Step 3 - Use the addition property of equality to isolate the 9x:

5x + 10 = 9x - 14\\5x + 10 + 14 = 9x - 14 + 14\\5x + 24 = 9x

Step 4 - Use the subtraction property of equality to move the 5x over and isolate the 24:

5x + 24 = 9x\\5x + 24 - 5x = 9x - 5x\\24 = 4x

Step 5 - Use the division property of equality to simplify:

4x = 24\\\\\frac{4x}{4} = \frac{24}{4}\\\\x = 6

Hope this helps!

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3 years ago
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Step-by-step explanation:

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6 0
4 years ago
If f(1)=10 and f(n)=-5f(n-1)-2 then find the value of f(4)
Flura [38]

Answer:

\large\boxed{f(4)=-1292}

Step-by-step explanation:

f(n)=-5f(n-1)-2\\\\f(1)=10\\\\f(2)=-5f(2-1)-2=-5f(1)-2\\\text{put}\ f(1)=10:\\f(2)=-5(10)-2=-50-2=-52\\\\f(3)=-5f(3-1)-2=-5f(2)-2\\\text{put}\ f(2)=-52\\f(3)=-5(-52)-2=260-2=258\\\\f(4)=-5f(4-1)-2=-5f(3)-2\\\text{put}\ f(3)=258\\f(4)=-5(258)-2=-1290-2=-1292

4 0
4 years ago
A car travels 42 miles for every 2 gallons of gasoline. What is the unit rate?
svetoff [14.1K]

Answer:

21 miles per 1 gallon

Step-by-step explanation:

The unit rate is how many to 1 so, 42 divided by 2 equals 21 so, the answer is given.

PLZ MARK BRAINLIEST!!!

5 0
3 years ago
Read 2 more answers
F(x)=4x-3 g(x)=x^3+2x find (f-g)(4)
Roman55 [17]
<span>((f-g)(4) means f(4) - g(4).)</span><span>im pretty sure the answer  -59 </span>
5 0
3 years ago
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