<h3>
<u>Explanation</u></h3>
- Convert the equation into slope-intercept form.
where m = slope and b = y-intercept.
What we have to do is to make the y-term as the subject of equation.
From y = mx+b, the slope is 3.
<h3>
<u>Answer</u></h3>
Answer:
k = 12
Step-by-step explanation:
Given:
The equation 
To find:
Value of 
for which the given equation has one distinct real solution.
Solution:
The given equation is a quadratic equation.
There are always two solutions of a quadratic equation.
For the equation: 
to have one distinct solution:
Here,
a = 2,
b = -k and
c = 18
Putting the values, we get:
The equation becomes:
And the one root is:
A^8/a^3=a^5 you subtract the exponents
Answer:
23d + 45 = 137
Explanation:
Since it is $23 per day, that dollar amount must be associated with a variable that multiples it per day that it is rented. Finally, you need to add the one time $45. This equation can then be used to find how many days it was rented for.
23d + 45 = 137
23d = 92 (Subtract 45 from both sides)
d = 4 (Divide by 23 on both sides)
The rug-cleaning machine was rented for 4 days. You found this using the equation: 23d + 45 = 137
Answer:
Step-by-step explanation:
a) the points (0,60) and (6.0) are the intercept points for the graph of the car slowing down ( accelerating in the opposite direction than it's traveling)
we already know the slope of the line b/c that the rate at which it's slowing .. -10 =m which is the slope of the line .. down 10
use the point-slope formula y-y1 = m(x-x1) and plug in either given point for (x1,y1)
b) y -60 = -10(x-0)
y= -10x+60
thats the slope-intercept form of the equation
