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Step2247 [10]
3 years ago
5

How many solutions does this system of

Mathematics
1 answer:
nalin [4]3 years ago
3 0

Answer:

Step-by-step explanation:

3x + 2y = 6

2y = -3x + 6

y = -3/2x + 3.....slope here is -3/2 and y int is 3

-4x + 6y = 15

6y = 4x + 15

y = 2/3x + 5/2.....slope here is 2/3 and y int is 5/2

different slopes, different y int means exactly ONE SOLUTION

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Age of car = 8 years. Original cost = $18,000. The cost of maintenance and repairs is $
creativ13 [48]

From the graph it seems to be around the area of 10%.

So,

18,000 * 0.10 = $1,800

5 0
3 years ago
What does the m in 4m-4=4m mean
Hoochie [10]
Hello there ^ _ ^

When you have 4m - 4 = 4m
The m means that you are looking for a number, but the number is unknown and you usually need to find it.

M is like blank space.
For example : She .... two apples
The blank space can be eats. right?

well it is the same thing for M
4..-4 = 4..
The blank space is missing a letter and you need to go look for that letter or number.

Now, let me solve it for you just in case if you would like to know how to find that unknown number.

4m - 4 = 4m
You need to put the common terms together ( the common terms are the one that looks alike)
we have two 4m, right ? so we gonna put them together.
-4 = 4m - 4m
-4 = 0
Add 4 to both sides
-4+4 = 0+4
0 = 4
In this case there are no solutions.

This mean that there no number you can replace m with that will make them equal. Does that make sense ?

I hope this help! Comment if you have more questions!
3 0
3 years ago
Barbie is analyzing a circle, y2 + x2 = 16, and a linear function g(x). Will they intersect?
evablogger [386]

Answer:

Yes, at positive x-coordinates.

Step-by-step explanation:

Finding the equation for g(x):

Slope = (3-6)/ (1-0) = -3

y-intercept =  y value when x = 0 = 6.

So g(x) = -3x + 6

Solve them simultaneously:

x^2 + y^2 = 16

g(x) : y =  -3x + 6

Substitute for y in the first equation:

x^2 + (-3x + 6)^2 = 16

x^2 + ( 9x^2 - 36x + 36) = 16

10x^2 - 36x + 20 = 0

5x^2 - 18x + 10 = 0

x = [-(-18) +/- sqrt ( (-18)^2 - 4 * -18 * 10)] / (5*2)

= ( 18 +/- sqrt 124 )/ 10

= (1.8) +/- 1,114

These 2 roots are both positive.

4 0
3 years ago
Simplify each expression.
umka21 [38]
half\to\frac{1}{2}\\the\ sum\ of\ p\ and\ 2q\to p+2q\\increased\to"+"\\three-fourts\ q\to\frac{3}{4}q\\\\an\ expression:\\\\\frac{1}{2}(p+2q)+\frac{3}{4}q\ \ \ |use\ distributive\ property:a(b+c)=ab+ac\\\\=\frac{1}{2}(p)+\frac{1}{2}(2q)+\frac{3}{4}q=\frac{1}{2}p+q+\frac{3}{4}q=\huge\boxed{\frac{1}{2}p+1\frac{3}{4}q}
5 0
3 years ago
900 Plus blank equals 3000
frosja888 [35]
900+2,100=3000 that would be ur answer for that question
3 0
3 years ago
Read 2 more answers
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