Number of x intercepts in this equation is 2 because max power in the function is 2. number of x intercepts is determined by "highest power".
let x1 represent first x intercept and
let x2 represent second x intercept
Formula for finding average of x intercepts is logicaly:
Avg = (x1 + x2)/2
we want to find x1 and x2
4x^2 - 24x + 20 = 0
x^2 - 6x + 5 = 0
x1 = 5
x2 = 1
Avg = 3
1. 90
2. 900
3. 9000
are your answer
Answer:
90 minutes
Step-by-step explanation:
See attachment for graph.
First, we need to determine the slope.
When y = 900, x = 0
When y = 600, x = 30
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
m = (600 - 900)/(30 - 0)
m = -300/30
m = -10
Next, we determine the equation of the line using
y - y1 = m(x - x1)
So, we have:
y - 900 = -10(x - 0)
y - 900 = -10x
y = 900 - 10x
When the container is empty, y = 0.
So, we have:
0 = 900 - 10x
Collect Like Terms
10x = 900
Solve for x
x = 900/10
x = 90
Answer:
55% decrease
Step-by-step explanation:
To find the percent decrease
Take the original price and subtract the new price
140-63 =77
Divide by the original price
77/140
.55
Multiply by 100 to get the percent
.55*100 = 55%
55% decrease since the price got lower
N/2+5=3
move +5 to the other side
sign changes from +5 to -5
N/2+5-5= 3-5
N/2= -2
Mutiply both sides by 2/1
N/2*2/1 - Cross out 2 and 2 , divide by 2 then becomes N
-2(2)/1= -4/1= -4
N= -4
Answer : N= -4