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Sedbober [7]
2 years ago
6

What is the justification for each step in the solution of the equation? 4(4x+6)−7=77−4x

Mathematics
1 answer:
zepelin [54]2 years ago
6 0

Answer:

20x + 17 = 77    --> Addition Property of Equality:

You are adding (Addition Property) 4x to both sides of the equal sign (Equality).

20x = 60           --> Subtraction Property of Equality:

You subtracted (Subtraction Property) 17 from both sides of the equal sign (Equality).

x = 3                  --> Division Property of Equality:

You divided (Division Property) 20 from both sides of the equal sign (Equality) to completely isolate the variable x.

~

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A pool pass costs $30 for the first month and $15 each additional month. Construct an explicit rule in function notation to mode
noname [10]

Answer:

F(n)=15(n+1)    [ where n is number of months]

F(12)=195

Step-by-step explanation:

Pool pass cost for first month =$30

Pool pass cost after first month = $15 for each month

The total amount charged by the pool can be expressed as a  function F(n) where n represents the number of months.

F(n)=15(n-1)+30

This can be simplified by using distribution.

F(n)=(15n-15)+30

F(n)=15n-15+30

F(n)=15n+15

Take 15 as greatest common factor.

∴ F(n)=15(n+1)

For n=12

F(12)=15(12+1)

F(12)=15(13)

F(12)=195

∴ Amount charged by pool for 12 months = $195

4 0
3 years ago
Given the function f(x) = −2x + 8, find x if f(x) = 14 ...?
Over [174]
14 = - 2x + 8
2x = - 6
x = - 3
5 0
3 years ago
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Solution to m^2- 36=0
alex41 [277]

Answer:

m=(-6,6)

Step-by-step explanation:

m^2 -36 = 0

Reorder the terms:

-36 + m^2 = 0

Solving for variable 'm'.

 Add '36' to each side of the equation.

-36 + 36 + m^2 = 0 + 36

Combine like terms: -36 + 36 = 0

0 + m^2 = 0 + 36

m^2 = 0 + 36

Combine like terms: 0 + 36 = 36

m^2 = 36

Simplifying

m^2 = 36

Take the square root of each side:

√m^2=+/-√36

m=(+/-)6

m = {-6, 6}

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3 years ago
PLZ HELP FAST FIRST PERSON TO ANSWER OR WHOEVER GETS RIGHT GETS BRAINLYEST
Studentka2010 [4]
D 110, gimme that young brainlyest


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3 years ago
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What is 64x12 – 1,000 written as a difference of cubes? (4x)3 – 103 (8x)3 – 1003 (4x4)3 – 103 (8x4)3 – 1003
Ksju [112]
We have to choose the correct answer and to show what is 64 x^12 - 1,000 written as a difference of cubes.
64 = 4^3
x^12 = ( x^4 )^3
1,000 = 10^3
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64 x^12 - 1,000 = ( 4 x^4 )^3 - 10^3
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C ) ( 4 x^4 )^3 - 10^3
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