Answer:
y=-5/2x+4
Step-by-step explanation:
find the slope by using y2-y1/x2-x1
-1-19/2-(-4)
simplify
-20/8
simplify
-5/2
use slope-intercept form, y=mx+b
since we know the slope, find b
plug in one of the ordered pairs into the equation
-1=(-5/2)(2)+b
simplify
-1= -10/2+b
simplify
-1=-5+b
add 5 to both sides
b=4
plug b into y=-5/2x+b
y=-5/2x+4
Answer:
D
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor become periodic
Answer:
10
Step-by-step explanation:
If we plug in any negative number as x, the result will always be greater than 4, which rules out answers A and B
lets try plugging in 4 as x to test answer C:
2(8-4)
2(4)= 8
8 is greater than 4, therefore C is wrong.
Lets try 10 as X (answer D):
2(8-10)
2(-2)
-4
We know that -4 is less than 4, therefore it makes the inequality true! :)
Answer:
x = 0 and x = 3
Step-by-step explanation:
I will assume that you mean:
4 8
---- + --------- = 4
x x + 2
Here the LCD is x(x + 2).
Multiplying all 3 terms by x(x + 2), we get:
4(x + 2) + 8x = 4(x)(x + 2), or
4x + 8 + 8x = 4x^2 + 8x
Cancelling the 8x terms, we have:
12x = 4x^2, or 3x = x^2, or x^2 - 3x = 0.
Factoring, we get x(x - 3) = 0, which results in x = 0 and x = 3.
Answer:
(- 2, 6 )
Step-by-step explanation:
Given the equations
3x + 2y = 6 → (1)
y - x = 6 ( multiply through by 3 to clear the fraction )
2y - 3x = 18 ( add 3x to both sides )
2y = 18 + 3x → (2)
Substitute 2y = 18 + 3x into (1)
3x + 18 + 3x = 6
6x + 18 = 6 ( subtract 18 from both sides )
6x = - 12 ( divide both sides by 6 )
x = - 2
Substitute x = - 2 into (1) and solve for y
3(- 2) + 2y = 6
- 6 + 2y = 6 ( add 6 to both sides )
2y = 12 ( divide both sides by 2 )
y = 6
solution is (- 2, 6 )
