Answer:
The solutions are 1 and 5.
Step-by-step explanation:
x2 − 6x + 5 = 0
Step 1: Write the related function.
x2 − 6x + 5 = 0
y = x2 − 6x + 5
Step 2: Graph the function.
Use a graphing calculator.
Step 3: Find the zeros.
The zeros are 1 and 5.
Answer:
The range of the 95% data (X) = 238.3 days < X < 289.9 days
Step-by-step explanation:
Given;
mean of the normal distribution, m = 264.1 days
standard deviation, d = 12.9 days
between two standard deviation below and above the mean is 96% of all the data.
two standard deviation below the mean = m - 2d
= 264.1 - 2(12.9)
= 238.3 days
two standard deviation above the mean = m + 2d
= 264.1 + 2(12.9)
= 289.9 days
The middle of the 95% of most pregnancies would be found in the following range;
238.3 days < X < 289.9 days
Answer:
It took Jen 4 hours to catch up with Laura
Step-by-step explanation:
Gaining speed 45-30= 15 mph
Laura's head start 30×2=60 miles
Time for Jen to catch up 60÷15= 4 hours
In other words
30(t+2)= 45t
30t+60= 45t
60=45t-30t
60= 15t
t=4 hours
Numbers that are close in value to the actual numbers.
Answer:
The objective function in terms of one number, x is
S(x) = 4x + (12/x)
The values of x and y that minimum the sum are √3 and 4√3 respectively.
Step-by-step explanation:
Two positive numbers, x and y
x × y = 12
xy = 12
S(x,y) = 4x + y
We plan to minimize the sum subject to the constraint (xy = 12)
We can make y the subject of formula in the constraint equation
y = (12/x)
Substituting into the objective function,
S(x,y) = 4x + y
S(x) = 4x + (12/x)
We can then find the minimum.
At minimum point, (dS/dx) = 0 and (d²S/dx²) > 0
(dS/dx) = 4 - (12/x²) = 0
4 - (12/x²) = 0
(12/x²) = 4
4x² = 12
x = √3
y = 12/√3 = 4√3
To just check if this point is truly a minimum
(d²S/dx²) = (24/x³) = (8/√3) > 0 (minimum point)
