Answer:
4x^2 - 16x - 48 = 0.
Step-by-step explanation:
In a factor form it is:
4(x + 2)(x - 6) = 0
Convert to standard form:
4(x^2 - 4x - 12) = 0
4x^2 - 16x - 48 = 0.
Answer:
6 weeks
Step-by-step explanation:
So the amount b we will have in our account w weeks from now is given by the equation:
To find out after how many weeks from now we will have $210, substitute 210 for b and solve for w:
Subtract 85 from both sides:
Add within the parentheses:
Divide both sides by 22:
In other words, we will have $210 after approximately 6 weeks.
Answer:the derivative of 1/x =-1/x^2
Step-by-step explanation:
1/x can also be written as x^-1
Therefore d/dx of x^-1
=-1*x^-1-1
=-1x^-2
Which can also be written as -1/x^2
Note: d/dx also means derivative of x
And d/dx (a/x^b) =(a*-b) /x^(b+1)
Where a and b represents a variable
Answer:
22.5 years to the nearest tenth.
Step-by-step explanation:
The equation is
6000 = 4000(1 + 0.018/12)^12t where t = the number of years
(1 + 0.018/12)^12t = 1.5
1.0015^12t = 1.5
Taking logs:
12t log 1.0015 = log 1.5
12t = log 1.5 / log 1.0015
12t = 270.51
t = 22.54 years.
63p: 1, 3, 7, 9, 21, 63, p
84: 1, 2, 3, 4, 6, 7, 12, 21, 14, 42
the factor is 21
