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Serjik [45]
2 years ago
12

Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. -

6x+8y=12 and -3x+4y=6
Mathematics
1 answer:
Ugo [173]2 years ago
4 0

Answer:

<h3>or infinitely many</h3>

Step-by-step explanation:

simplifying the equation -6x + 8y = 12 dividing by 2 would give us the same equation as

-6 / 2x + 8 / 2y = 12/2

-3x + 4y = 6

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Is it a, b , c , or d?​
IrinaVladis [17]

The line has a positive slope. Let's look at all the slopes:

1) -3

2) -3

3) 3

4)3

Which ones are positive? That's right, 3 and 4. We don't know which equation would be the equation of the line. That's where the other information comes in.

The line intersects the y-axis at at a point that has a negative y-coordinate. Lets write the last two equations in slope-intercept form.

1) y = -3/2x - 5/2

2) y = -3/2x + 5/2

We have to graph both of the lines now. The graphs are at the very bottom. Take a look at them. In the first one, the y-intercept is a negative and in the second one, the y-intercept is positive.

The third one AKA 3x + 2y = -5 is the equation of the line. I hope this helps! Let me know if I got it wrong or if you need any more help.

5 0
2 years ago
Genelle is paid $1,122.38 semimonthly. What is her average monthly net or take home pay ?
sveta [45]

Answer: $2244.76

Step-by-step explanation:

Well, <em>semimonthly </em>means that she is paid the amount of $1,122.38 twice a month. I am making the assumption that taxes have already been taken out of this amount, and the amount listed above is how much she will take home. I then multiplied $1,122.38 × 2 which equaled $2244.76. This is how much Genelle will take home monthly.

7 0
3 years ago
Alfred is building a slide for a new park. He wants the height of the slide to be 8 feet, and he wants the horizontal distance a
oksano4ka [1.4K]

Answer:

5ft

Step-by-step explanation:

8/10=0.8

4/0.8=5

8 0
2 years ago
69 + 12 can be rewritten as 3 (_*_)
Paladinen [302]

Take out the factor of 3 from both numbers

(69)/3 = 23

(12)/3 = 4

69 + 12 can be rewritten as 3(23 + 4)

~

8 0
3 years ago
Read 2 more answers
A car dealership has 24ft of dividers with which to enclose a rectangular play sace
alina1380 [7]

Answer:

A)  Area = A(x) = 24x - x^2

B)  Domain = {x < 24}

Step-by-step explanation:

<u>Complete Question:</u>

A car dealership has 24ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. The sides against the wall require no partition. Suppose the play space is x feet long.  

A) express the area of the play space as a function of x

B) find the domain of the function

Solution:

A)

The rectangle has area of length * width

length is x

so width will be 24 - x

Hence, the area will be:

Area = x(24 - x)

Area = A(x) = 24x - x^2

B)

Domain is the set of x values that make the function defined.

The domain will be all values less than 24.

Because if you take 24, the area would be 0 [doesn't make sense]

if you take anything over 24, the area would be negative [not possible]

Hence, the domain is:

Domain = {x < 24}

6 0
3 years ago
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