Answer:
a. 
Step-by-step explanation:
The given equation is;

To solve by the x-intercept method we need to graph the corresponding function using a graphing calculator or software.
The corresponding function is

The solution to
is where the graph touches the x-axis.
We can see from the graph that; the x-intercepts are;
(-1,0),(3,0) and (6,0).
Therefore the real solutions are:

Answer:
Factoring the expression
completely we get 
Step-by-step explanation:
We need to factor the expression
completely
We need to find common terms in the expression.
Looking at the expression, we get
is common in both terms, so we can write:

So, taking out the common expression we get: 
Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

So, we get:

Therefor factoring the expression
completely we get 
Answer:
All real numbers
Let's find the critical points of the inequality.
−4x+7=17
−4x+7+−7=17+−7(Add -7 to both sides)
−4x=10
−4x−1=10−1
(Divide both sides by -1)
4x=−10
4x=−10(Solve Exponent)
log(4x)=log(−10)(Take log of both sides)
x*(log(4))=log(−10)
x=log(−10)log(4)
x=NaN
Answer:
The margin of error of the 90% confidence interval of a student's average typing speed is of 1.933 wpm.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.7291
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have
. So



The margin of error of the 90% confidence interval of a student's average typing speed is of 1.933 wpm.
Answer:
How much soil for a raised bed?
Answer: The cost to fill a raised bed with bagged fertile soil (planting mix) adds up quickly. The volume of soil you need is 12 feet times 4 feet times 1.5 feet (length times width times depth equals volume), which comes to 72 cubic feet
Step-by-step explanation: