Answer:
equation 1
y = -2x
equation 2
y = x-3
Solution to both
(1,-2)
Step-by-step explanation:
We need to get the equations of both lines
General form is;
y = mx + c
where m is slope and c is the y-intercept
Table 1
since we have a point 0,0; the y-intercept here is zero
Let us get the slope. We can do this by selecting any two points
m = (y2-y1)/(x2-x1)
m = (2-10)/(-1+5) = -8/4 = -2
So the equation of the first line is;
y = -2x
Table 2
we get the slope
m = (4+2)/(7-1) = 6/6 = 1
The partial equation is;
y = x + c
To get c, we select any two point and substitute
4 = 7 + c
c = 4-7
c = -3
So the equation is;
y = x-3
To get the solution to both systems, we equate the y
-2x = x - 3
-2x-x = -3
-3x = -3
x = -3/-3
x = 1
To get y, we substitute;
recall; y = -2x
y = -2(1)
y = -2
Solution to the system is;
(1,-2)
Answer:
the first number is 57 to the ninth power and the second is 19 to the third power, not to sure about the dividing but a quick google search should do the trick
Step-by-step explanation:
Given that <span>the number of possible handshakes within a group of n people is given by the equation:
</span>
<span>
Given that there are 105 people at a party, the number of possible handshakes is given by:
</span>
<span>
</span>
f(x) - g(x)
=> (3x² + x - 3) - (x² - 5x + 1)
=> 3x² + x - 3 - x² + 5x - 1
=> 3x² - x² + x + 5x - 3 - 1
=> 2x² + 6x - 4
<u>Answer:</u>
- The solution to the problem is -38.
<u>Step-by-step explanation:</u>
- -(6m + 8) = 4(17 - m)
- => -6m - 8 = 68 - 4m
- => -6m + 4m = 68 + 8
- => -2m = 76
- => m = 76/-2
- => m = -38
Hence, <u>the solution to the problem is -38.</u>
Hoped this helped.
