Answer is H
Step by step exploration
to find the equation of a linear equation given two points:
1) find the slope y=mx+b
here's the equation: (y2-y1)/(x2-x1)
y2- y value of the 2nd point y1- y value of 1st point
x2- x value of 2nd point x1- x value of 1st point
1st point- (0, 12) 2nd point- (1,3)
so your slope equation is this: (3-12) / (1-0) or -9/1 or -9
m is -9
2) find the y intercept y=mx+b
b is whatever y is when x is 0. There's a long way to find it, but you already have it, because one of your points is (0,12). They told you what y was when x was 0.
b is 12.
your linear equation is y=-9x+12
to find the equation of an exponential equation given two points:
1) find a y=a(b)<span>×
</span>if one of your points has a 0 as the x value, the y value is a. you do have a point like this: (0,12) so...
<span>a is 12
</span>2) find b y=a(b)<span>×
put what you know a is in the equation: y=12(b)</span><span>×
then put the x and y values of the other point in for x and y in the equation
so (1,3) 1 is x and 3 is y
3=12(b)^1
when the exponent is 1, it disappears:
3=12b
simplify: b= 3/12 or b=1/4
then put all that in the equation:
y=12(3/4)</span><span>×</span>
Answer:
The answer is that x = -20.
Step-by-step explanation:
The equation:
5/2x + 1/2x = 10 + 7/2x
6/2x = 10 + 7/2x
-7/2x + 6/2x = 10
-1/2x = 10
-1/2x * -2 = 10 * -2
x = -20
Proof:
5/2*-20 + 1/2*-20 = 10 + 7/2(-20)
-50 + (-10) = 10 + (-70)
-50 - 10 = 10 - 70
-60 = -60
Answer:
Step-by-step explanation:
hello : -6x+4y=-4....(*)
-6x+2y= 4...(**)
by (*) : -6x= -4y-4
by(**) : -6x = -2y+4
so : -4y-4=-2y+4
-2y = 8
y=-4
put this value in (*) : -6x+4(-4)= - 4
-6x=16-4=12
x=-2
