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alexira [117]
3 years ago
15

Compare Look at these equations. Do you think they are all linear equations? Can they

Mathematics
1 answer:
Georgia [21]3 years ago
6 0

Answer:

Yes they can all be written in y = mx + b. You just have to move the terms around.

Step-by-step explanation:

y = 2x -3, this is already in slope-intercept form

Now, y - 2 = x + 2: We can add 2 on both sides to cancel out the one on the left side:

y - 2 = x + 2

y - 2 + 2 = x + + 2

y = x + 4 <-- This is in y = mx + b form

Now the last one, 3x = 9 + 3y

We can first divide all terms by 3,

3x = 9 + 3y

/3     /3   /3

x = 3 + y: Then we can subtract 3 from both sides:

x - 3 = 3 + y - 3

x - 3 = y

These are all linear equations because none of the x's have bigger powers than 1. x^2 is a quadratic equation and x^3 is cubic equation.

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A small fruit basket with 6 apples and 6 oranges costs $7.50. A different fruit basket with 10 apples and 5 oranges costs $8.75.
Andreas93 [3]

Answer:

x = $0.50

y= $0.75

Step-by-step explanation:

1. Multiply the equations to have the same coefficients

5(6x + 6y = 7.5) → 30x + 30y = 37.5

3(10x + 5y = 8.75) → 30x + 15y = 26.25

2. Subtract the equations

 30x + 30y = 37.5

<u>- 30x + 15y = 26.25</u>

15y = 11.25

3. Solve for y by dividing both sides by 15

y = 0.75

4. Plug in 0.75 for y into one of the equations

6x + 6(0.75) = 7.5

5. Simplify

6x + 4.5 = 7.5

6. Solve for x

6x = 3

x = 0.5

8 0
3 years ago
The slope of a line is -3. Find the slope of a line that is perpendicular to this line.
nataly862011 [7]
<span>The slope of a line is -3
</span><span>perpendicular  lines, slope is opposite and reciprocal
so </span><span>the slope of a line that is perpendicular to this line will be 1/3

answer
</span><span>C.1/3</span>
8 0
3 years ago
1284 divided by 26 also need a remainder
VARVARA [1.3K]
Using a calculator I put 1,284/26=49.384615385. Rounded to tenth: 49.4 :)
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3 years ago
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exis [7]

Answer:

C) The sample does not accurately represent the population

3 0
3 years ago
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Mike has 3 brothers and 3 sisters

Kate has 4 brothers and 2 sisters

all the girls in the family are 3

hope it helps...!!!

4 0
2 years ago
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