Answer:
65/2
Step-by-step explanation:
3 1/4= 13/4
13/4(10)=65/2
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>
If it’s in years, it will take 4 years to reach 600 dollars if you don’t add anymore into your bank account.
Answer:
y=3x+4
Step-by-step explanation:
Slope-intercept form is written as y=mx+b
m = the slope
slope is rise over run or (y2-y1)/(x2-x1). We need to choose which y value is y2 and the corresponding x value is the x2. If -2 is y2, then:
x2 = -2
y1 = 1
x1 = -1
then plug in the values.
(-2-1)/(-2-(-1))
-3/-1 = 3
m =3
then plug in values for the first equation. you can use any point on the line.
y = 3x+b
4 = 3*0 +b
4=0+b
b = 4
then write it with out x or y
y = 3x+4
Answer:
1. 1/3 x 2/2 = 1/3
2. 1/4 x 5/5 = 1/4
3. 1/6 x 4/4 = 1/6
4. 9/8 x 3/4 = (9x3)/(8x4) = 27/32
4. 4/5 x 2/2 = 4/5
Step-by-step explanation:
n/n = 1