40 inches because ef equals xy so gf and zy are equal. 18 times about 1.67 is 30 so 1.67 times 24 is 40.08 and is rounded to 40
To determine which of the statement is/are true, we simply have to evaluate the given choices.
a. f(x) = 0 when x = -1
f(x) = (-1)^3 - (-1)^2 - 4(-1) + 4
f(x) = 6
FALSE
b. f(x) divided by x - 1 has a remainder of 0.
f(x) = (1)^3 - (1)^2 - 4(1) + 4
f(x) = 1 - 1 - 4 + 4 = 0
TRUE.
c. (x - 1) is a factor of f(x)
Since, the division of f(x) by x - 1 gave an answer of zero this means that it is a factor.
TRUE.
d. f(-1) = 0.
In relation to letter a of this item, if we are to substitute -1 to x of the given equation, the answer is 6 instead of zero.
Answer:
It'll take 10.6638 years to double his money.
Step-by-step explanation:
Since the invested capital is compounded continuosly we need to use the apropriate formula shown below:
M = C*e^(r*t)
Where M is the final value, C is the initial value, r is the rate of interest and t is the total time elapsed. In this case we want to double our investment, since the amount invested was 2800, then we need to have a final value of 2*2800 = 5600. Applying these values to the formula:
5600 = 2800*e^(0.065*t)
2800*e^(0.065*t) = 5600
e^(0.065*t) = 5600/2800
e^(0.065*t) = 2
ln(e^(0.065*t)) = ln(2)
0.065*t = ln(2)
t = ln(2)/0.065 = 10.6638 years
It'll take 10.6638 years to double his money.
Answer:
Step-by-step explanation:
To find the inverse function, the first step we do is change f(x) to Y. So now, we have
y=2x+1
Now that we have this function, we simply flip x and y. When we do that, we get
x=2y+1
Now that we have this function, we just solve for Y. We do that by bring 1 to the other side by subtracting it from both sides, then dividing both sides by 2.
x-1=2y+1-1
x-1=2y
(x-1)/2=2y/2
(x-1)/2=y
So, our inverse function is:
y=(x-1)/2, or y=x/2 - 1/2
Hope I helped!
Product=multiplication
Sum=addition
Difference=subtraction
Quotient=division
Quantity=parentheses
