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MatroZZZ [7]
3 years ago
13

Solve the following equation by factoring: x^2 - 2x - 48 = 0

Mathematics
1 answer:
Vlada [557]3 years ago
4 0

Answer:

B. x=-6 or x=8

Step-by-step explanation:

To solve this, factor the equation x^2-2x-48. Since -48 is negative, one of the factors has to be negative and one has to be positive. Since the coefficient of x is -2, the factors have to sum to -2. Trying factors, we realize that (x-8)(x+6)=0 works. Solving, x-8=0 and x+6=0, or x=8 or x=-6.

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The cost of renting a bus for a field trip was split evenly among 20 students. At the last minute, 10 more students joined the t
dexar [7]

By solving a linear equation, we will see that the total cost for renting the bus is $90.

<h3>What was the total cost of renting the bus, in dollars?</h3>

Let's say that the total cost is C.

When there are 20 students, each student should pay:

p = C/20

When the other 10 students are added (for a total of 30) each student pays:

p' = C/30.

We know that the cost for each of the original 20 students decreased by $1.50, so:

p' = p - $1.50

Then we have 3 equations to work with:

p = C/20

p' = C/30.

p' = p - $1.50

Now we can replace the first and second equations into the third one:

C/30 = C/20 - $1.50

Now we can solve this linear equation for C:

C/20 - C/30 = $1.50

C*( 1/20 - 1/30) = $1.50

C*(30/600 - 20/600) = $1.50

C*(10/600) = $1.50

C*(1/60) = $1.50

C = 60*$1.50 = $90

So the total cost for renting the bus is $90.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

4 0
2 years ago
I think the answer is C) 4x=12 but I am not sure. Please help and explain!!
Dmitriy789 [7]

You are correct, C) 4x = 12.

So, if 4 people are eating 12 pieces of pizza, simply divide 12 by 4 and there's your answer!

12 / 4 = 3     Each person gets 3 slices of pizza.

8 0
4 years ago
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