Answer
C. (5/2, -1/3)
Step by step explanation
Here we use the rational root theorem.
The possible roots are
+1, +3, +5, +15, +1/2, +3/2, +5/2, +15/2, +1/3, +5/3, +1/6 and +5/6
We have to use the synthetic division to find the correct root of this function.
Here the roots are 5/2 and -1/3
Others are not roots of this function.
Let's check x = 5/2 with synthetic division.
5/2) 6 -13 13 -39 -15
- 15 5 45 15
--------------------------
6 2 18 6 0
Similarly x = -1/3 is also root of this function.
Answer: C. (5/2, -1/3)
HOW TO SOLVE:
1) use x as a variable
2) the starting equation is:
4x + 3x + 5x = 18
3) add all the like terms on the left side of the equation:
12x = 18
4) Divide by 12 on both sides:
x=1.5
5) Find the lengths of the sides:
- 4x = 4(1.5) = 6
- 3x = 3(1.5) = 4.5
- 5x = 5(1.5) = 7.5
SO, the lengths of the sides of this triangle are: 6, 4.5, and 7.5
Answer:
A
Step-by-step explanation:
Joint variation is given by:
Where k is some constant.
We are given that y = 360 when x = 4 and z = 10. Therefore:
Solving for k:
Therefore, our equation is:
Then when x = 5 and z = 12:
The answer is A.
Answer:
8/3=2/0.75
Step-by-step explanation:
The variable that you are looking for should be the simplified version of the number on the left.
That is where the 2 would come in. Both numbers should be divided by 4 to gat the answer.
8÷4 = 2
3÷4=0.75
Answer:
This is a guess!
When looking at the given equation I can not help but think of compound interest. So I am going to convert this into that format.
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Within the context of financial interest:
Looking for:
P
(
1
−
x
)
n
Where P is the principle sum,
x
is the interest and n is the number of interest cycles (annual)
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Given:
y
=
5100
(
0.95
)
x
But
0.95
=
1
−
0.05
so we have
y
=
5100
(
1
−
0.05
)
x
But
.
0.05
=
5
100
So we have
y
=
5100
(
1
−
5
100
)
x
Thus the percentage change each year is
−
5
%
Step-by-step explanation: