Answer:
Step-by-step explanation:
Given is a function as 
Equating to 0 we have equation
If the function f(x) has x intercepts then the solutions are real
Let us use remainder theorem and change of signs rule
f(0) = 1>0
f(-1) = -1+3+1=3
f(-2) = -32+6+1<0
This implies there is a real root between -1 and -2.
f(1) = -1
Since f(0) and f(1) have different signs, there exists a real root between 0 and 1.
f(2) = 32-6+1>0
Since f(1) and f(2) have different signs there exists a real root between 1 and 2.
Thus there are definitely three real solutions as
one between -1 and 0, one between 0 and 1, and third between 1 and 2.
Answer:
The range in temperature is 62° F
Step-by-step explanation:
The range is simply the difference between the highest and the lowest temperature recordings on that particular month.
We obtain the difference between 80 and 18;
80 - 18 = 62
The range in temperature is thus 62° F
Answer:
Negative 0.5
Step-by-step explanation:
i just took the test and got the awnser right.
Answer:
You need to invest at a continuous compound interest rate of 6.701355026%
Step-by-step explanation:
The formula to use is the compound interest formula:A=P(1+r/100)^t
where A=Total amount at the end of the investment period
P=Principal amount
R=Rate of interest
T=Investment tenor/time
Now,
350,000=50000(1+r/100)^30 is what needs to be simplified to 6.701355026%