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Genrish500 [490]
3 years ago
12

How to simplify expressions

Mathematics
1 answer:
Volgvan3 years ago
8 0
You gather the like terms together.
if you have -3y +2x +6w -4 + 3y -5x +2w

you put the like terms together
so for the term y:

you have -3y +3y = 0

for x:

2x - 5x = -2x

for w:

6w + 2w = +8w

and you also had -4. if you put them together you get

0 -2x +8w -4
which is

-2x +8w -4

hope this helps
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Determine the best method to solve the system of equations. Then solve the system.
maxonik [38]

Answer:

x=1  y = -1/2

(1,-1/2)

Step-by-step explanation:

7x-2y=8  

5x+2y=4

I would use elimination since we have 2y in one equation and -2y in the other

7x-2y=8  

5x+2y=4

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

12x = 12

Divide each side by 12

12x/12 = 12/12

x =1

The substitute back into equation 2

5(1) +2y = 4

5 +2y = 4

Subtract 5

5-5+2y = 4-5

2y = -1

Divide by 2

2y/2 = -1/2

y = -1/2

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3 years ago
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Nana76 [90]

Answer:

The amount of apples is the Xs and The cost is the Ys

Step-by-step explanation:

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3 years ago
Without graphing, determine whether the following pair of lines are parallel, perpendicular, or neither parallel nor perpendicul
Tomtit [17]

Write the equation of the lines in slope-intercept form (y=mx+b)

First equation: It is already in slope-intercept form

y=\frac{2}{5}x-4

Second equation: solve y:

\begin{gathered} 4x-10y=-7 \\ 4x-4x-10y=-4x-7 \\ -10y=-4x-7 \\ \frac{-10}{-10}y=\frac{-4}{-10}x-\frac{7}{-10} \\  \\ y=\frac{4}{10}x+\frac{7}{10} \\  \\ y=\frac{2}{5}x+\frac{7}{10} \end{gathered}

Identify the slope of each line:

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The two given lines have the same slope: 2/5. Then, they are parallel lines
4 0
1 year ago
The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours a
kodGreya [7K]

Answer:

d) f(x) = 5x + 2

Step-by-step explanation:

First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.

Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2

To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.

Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2

6 0
3 years ago
1. There are 78 sophomores at a school. Each is required to take at least one year of either chemistry or physics, but they may
SVETLANKA909090 [29]

We are given that there are a total of 78 students. If we set the following variables:

\begin{gathered} C=\text{students only in chemestry} \\ P=\text{students only in physics} \\ PC=\text{students in physics and chemistry} \end{gathered}

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Simplifying:

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Now we solve for P by subtracting 62 on both sides:

\begin{gathered} 62-62+P=78-62 \\ P=16 \end{gathered}

Therefore, there are 16 students in physics

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1 year ago
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