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ivolga24 [154]
3 years ago
14

The coordinates below represent two linear equations.

Mathematics
2 answers:
dmitriy555 [2]3 years ago
8 0
The answer is d infinitely many
vovikov84 [41]3 years ago
7 0
First write the equations in the slope-intercept form:
y=mx+b \\ \\
m=\frac{y_2-y_1}{x_2-x_1}

Line 1 passes through the points (-6,-6) and (-4,-3).
m=\frac{-3-(-6)}{-4-(-6)}=\frac{-3+6}{-4+6}=\frac{3}{2} \\ \\
(-6,-6) \to x=-6, \ y=-6 \\
-6=\frac{3}{2} \times (-6) + b \\
-6=-9+b \\
b=3 \\ \\ y=\frac{3}{2}x+3

Line 2 passes through the points (0,3) and (2,6).
m=\frac{6-3}{2-0}=\frac{3}{2} \\ \\
(0,3) \to x=0, \ y=3 \\
3=\frac{3}{2} \times 0 + b \\
b=3 \\ \\
y=\frac{3}{2}x+3

These are two identical lines so the system of equations has infinitely many solutions. The answer is D.
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Solve the following word problem using any method. Show your work.
VLD [36.1K]
Let's set up two equations:
x+y=20             We know she brought total of 20, some of each so x=small y=big
20x+ 30y=450
 
 x+y= 20
   -y    -y
 ------------
 x= 20 -y

substitute into the other equation:    
20 (20-y) + 30y = 450
400 - 20y + 30y = 450
400+ 10 y = 450
10 y = 50
y= 5

So she brought  5 big cases.  Then substitute the value of y into one of the equations.

5+ x = 20 
x= 15

So we bought 15 small cases and 5 big cases. 

Hope this helps! Please give me the brainliest answer if you like it! If you have further questions, please leave a comment or add me as a friend!


5 0
3 years ago
Read 2 more answers
Help please I'll mark brainliest + 5 star + a thanks + high points
Gala2k [10]

Answer:

2

Step-by-step explanation:

Brainliest please

8 0
3 years ago
Nine more than the quotient of a number and 4 is 12
Fudgin [204]
To solve this, let's first convert the equation to standard form:

9 + (x/4) = 12

Now, let's solve for x:

9 + (x/4) = 12
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x/4 = 3
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3 years ago
What is the value of x?<br> 45°<br> m<br> (2x-5)<br> n
Maurinko [17]
Hmmmmm i just did this assignment the other day let me check
8 0
4 years ago
Write down the Inequality for x that is shown in this line.
Doss [256]

Answer:

x>3

Step-by-step explanation:

Using the line shown here, we can see that the variable x can takes values greater than 3.

The white circle means that the x can not take this value.

<u>Then, x could be 4, 5, 6, ... and so on.</u>

Putting this information into an inequality form we will have:

x>3

or in interval terms, all the values of x ∈ (3, infinity).

I hope it helps you!

8 0
3 years ago
Read 2 more answers
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