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2 years ago

On the right side, give a reason to justify each step made on the left

Mathematics

1 answer:

cestrela7 [59]2 years ago

8 0

Given that: step 1

$3x+12=8x-18$

step 2: subtract 3x both side

$\begin{gathered} 3x+12-3x=8x-3x-18 \\ 12=5x-18 \end{gathered}$

Step 3: Add 18 both side:

$\begin{gathered} 12+18=5x-18+18 \\ 30=5x \end{gathered}$

Step 4: divide both side by 5

$\begin{gathered} \frac{30}{5}=\frac{5x}{5} \\ 6=x \end{gathered}$

Step:6 The value of x is:

x=6

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Can someone please help me with this problem?

Shkiper50 [21]

Answer: E

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3 years ago

12) Add the fractions, and simplify if possible.<br><br> (y+7)/(y^2-y-12) - 2/(y^2-9)

lianna [129]

Answer:

$\dfrac{y^2+2y-13}{(y-4)(y+3)(y-3)}$

Step-by-step explanation:

Given the expression

$\dfrac{y+7}{y^2-y-12}-\dfrac{2}{y^2-9}$

First, factor each denominator:

1. $y^2-y-12=y^2-4y+3y-12=y(y-4)+3(y-4)=(y-4)(y+3)$

2. $y^2-9=(y-3)(y+3)$

Now the expression is

$\dfrac{y+7}{(y-4)(y+3)}-\dfrac{2}{(y-3)(y+3)}$

Now, multiply the first numerator by (y-3) and the second by (y-4) and write the result as a fraction with denominator $(y-4)(y+3)(y-3):$

$\dfrac{(y+7)(y-3)-2(y-4)}{(y-4)(y+3)(y-3)}=\dfrac{y^2-3y+7y-21-2y+8}{(y-4)(y+3)(y-3)}=\dfrac{y^2+2y-13}{(y-4)(y+3)(y-3)}$

This fraction cannot be simplified more.

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4 years ago

Anton joined a gulf club two years ago. He pays ana annual membership fee of $895 and a green fee of $30 each time he plays a ga

maksim [4K]

Answer:

Anton played a total of 39 games.

Step-by-step explanation:

If you want to calculate the amount of games played, you must first subtract the membership fee of 895 to get 1170. As you are charged $30 for each game, you must divide by thirty.

If you are fond of graphing, know this equation can also be expressed in slope-intercept form (y = mx + b) as y = 30x + 895, with x being the number of games played and the y-intercept (895) being your initial cost.

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3 years ago

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Lubov Fominskaja [6]

72 sq ft hope i could help all i did was turn them both into feet so nine and eight then multiply.

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3 years ago

Simplify 3 to negative 4power

stiv31 [10]

Answer: 1/81

Step-by-step:
Use the negative exponent property to flip and change the sign to positive.
1/3^4

Solve for 1/81

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3 years ago