Answer:
x=−2 or x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x2−2x−3=5
Step 2: Subtract 5 from both sides.
x2−2x−3−5=5−5
x2−2x−8=0
Step 3: Factor left side of equation.
(x+2)(x−4)=0
Step 4: Set factors equal to 0.
x+2=0 or x−4=0
x=−2 or x=4
Answer:
Step-by-step explanation:
let x represent the number of minutes of call made.
Let y represent the cost for x minutes of call.
If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be
Slope, m = (10.86 - 5.91)/(10 - 5)
m = 4.95/5 = 0.99
The equation of the straight line can be represented in the slope-intercept form, y = mx + c
Where
c = intercept
m = slope
To determine the intercept, we would substitute x = 10, y = 10.86 and m = 0.99 into y = mx + c. It becomes
10.86 = 0.99 × 10 + c = 9.9 + c
c = 10.86 - 9.9
c = 0.96
The linear function becomes
y = 0.99x + 0.96
Therefore, for $12, the number of minutes would be
12 = 0.99x + 0.96
0.99x = 12 - 0.96
0.99x = 11.04
x = 11.04/0.99
x = 11.15 minutes
This is a problem of fundamental counting principle. In a
sequence of events, the total possible number of ways all events can performed
is the product of the possible number of ways each individual event can be
performed. So here there is one car in each place so there 4 possible
cars to get the 1st place, 3 possible car for the 2nd
place, 2 possible cars for 3rd place and 1 for the 4th
place. The 4x3x2x1 = 24 different order
Answer: 15.96$
Step-by-step explanation:
(14.92 x .07) + 14.92 =15.9644$ simplified is 15.96$
