Answer:
Step-by-step explanation:
[1] 2x + y = -1
[2] x - 2y = -8 <------- given linear equations
Graphic Representation of the Equations : ----> given in attatchment
y + 2x = -1 -2y + x = -8 < ----- point where they connect is shown in graph
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = 2y - 8
// Plug this in for variable x in equation [1]
[1] 2•(2y-8) + y = -1
[1] 5y = 15
// Solve equation [1] for the variable y
[1] 5y = 15
[1] y = 3
// By now we know this much :
x = 2y-8
y = 3
// Use the y value to solve for x
x = 2(3)-8 = -2
Solution :
{x,y} = {-2,3}
(0.5,2)
0.5 is x value
2 is y value
l
l
---------------
l
l
x value is on dashed line (0.5)
y value is on more separated line going up and down. (2)
To plot 0.5, you can put it as an equation. 0.5= 1/2. So to plot it, 0.5 is half of 1. So plot it as in between the 1 and 0.
To plot 2 go up to the two on the y axis and then go over 0.5 and plot a point.
That is you're plotted point for (0.5,2)
Hope it helps!
Answer:
4
Step-by-step explanation:
7x = x² - 8
=> x² - 7x - 8 = 0
use quadratic formula:
a = 1, b = -7, c = -8
x = 
<em>(pls ignore the "A" I don't know why it's showing up)</em>
=> x = 
=> x = 
=> x = 
= 4 or 
= -5 <em>(the answer is only 4 since it's asking for the positive solution)</em>
Answer:
y=8x-29
Step-by-step explanation:
Since we know the slope (m) is 8, we can plug it in the slope-intercept formula y=mx+b, making y=8x+b.
Now we need to find the y-intercept (b). To do that, you would need to plug in the points given to you, which were (4,3).
x=4, y=3... so 3=8(4)+b
Now you can solve for the variable b to find the y-intercept.
3=8(4)+b, multiply...
3=32+b, subtract 32 on both sides...
-29=b
Therefore, the y-intercept, or b, is -29.
The equation would be y=8x-29
(2k² + 5k - 6)(3k - 1)
(6k³ - 2k² + 15k² - 5k - 18k + 6)
6k² + 13k² - 23k + 6
Use the FOIL method to simplify the problem.
(FOIL stands for first outer, inner, last)
