5. 104
because 40+37= 77 and 180-77=104
6. 67
because 41+72=113 and 180-113=67
7. 15
add them together and subtract by 180
8. 44
add together and subtract 180
Given :
Rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated.
To Find :
How many hours must have passed if there are 5 inches of rain .
Solution :
Let , after x hours rain accumulated is 5 inches .
We know , general equation of line :
y = mx +c
Here , m = 0.5 and c = 1 .
So , equation of rain accumulated is :
Now , putting value of x = 5 hours .
We get :
Hence , this is the required solution .
Answer:
Slope <em>m</em> = -3
y-intercept (0, 0)
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
y = -3x
<u>Step 2: Break Function</u>
<em>Identify Parts.</em>
Slope <em>m</em> = -3
y-intercept <em>b</em> = 0
Answer:
45.05
Step-by-step explanation:
The answer is 45.05 because I multiplied ( b and a) 8.5x5.3 and then I got 45.05.
<span>What are the factors of y=4x^2 + 2x - 30?
First, divide 2 out of this expression. y = 2(2x^2 + x - 30)
One way to factor this would be to find the roots using the quadratic formula:
Since a=2, b=1 and c= -15,
-1 plus or minus sqrt(1^2-4(2)(-15)
x = -------------------------------------------------
4
-1 plus or minus sqrt(121) -1 plus or minus 11
= -------------------------------------- = ----------------------------
4 4
One such solution is -12/4, or -3. The corresponding factor is (x+3), and the other is 5/2, leading to the factor (2x-5).
Therefore, </span><span>4x^2 + 2x - 30 = y = 2(2x-5)(x+3).</span>
