This can be solved by factoring.
First, set the expression equal to zero.

Then, find two the factors of

whose sum is

.

Split

into these two factors.

Next, factor by grouping.

By the Zero Product Property, set each factor equal to zero.


These are the solutions. The Complex Conjugate Root Theorem and the Fundamental Theorem of Algebra both state that, in essence, real and imaginary solutions come in pairs of two and every polynomial of degree

has exactly

complex roots, but real roots are also complex roots. That sounds confusing, but this just means that you're done.
Your answers are -2 and 1/3. There are two real roots.
Answer:
15.59 square inches
Step-by-step explanation:
In the required given diagram, the slant height of the cone was given as 3.6 inches.
The least amount of paper required would be equal to the curved surface area of the cone.
curved surface area of a cone =
rl
where r is the radius and l the slant height.
circumference of the top rim = 8.66 inches
circumference = 2
r
⇒ 8.66 = 2
r
4.33 =
r
r = 4.33/
curved surface area =
x 4.33/
x 3.6
= 4.33 x 3.6
= 15.588 square inches
Thus, the least amount of paper that can form the cone shaped cup is 15.59 square inches.
Answer:
4:3
Step-by-step explanation:
Legit just simplified it.The original ratio is 24:18. First found the greatest common multiple (GCF) and divided both by it. In this case it was 6. So 24/6 = 4 and 18/6 = 3. Now your newly simplified ratio of apples to pears is 4:3.
Answer: If you are supposed to graph a line, it will be a horizontal line (parallel to the x-axis) passing through +3 on the y-axis. The slope is 0.
it is a function.
If you are doing range and domain, the range is [3] and the domain is [1,2,3,4,5]
Step-by-step explanation: If there are directions above question 1 that apply to question 2, please add them to the comments.
Maybe someone else will be able to help if it is too late for me to edit this answer.
Answer:
--- function
The monthly rate is 10%
Step-by-step explanation:
Given
Let

So, we have:
--- Monday
--- One month later
Required
The function
The function is represented as:
In
, we have:




In
, we have:


Substitute: 

Solve for b


So, the function is:


To calculate the monthly rate (r), we have:

Compare to: 

Make r the subject

Substitute 


Express as percentage

