1a) Possible rational roots will be of the form
±{divisor of 10}/{divisor of 4}
Divisors of 10 are {1, 2, 5, 10}
Divisors of 4 are {1, 2, 4}
Then possible rational roots are
{±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10}
1b) Your answer is correct.
2) One additional root will be the conjuate of the given complex root.
5 -3i
3) If one root is 5 -√7, another will be 5 +√7. Then your polynomial is
P(x) = (x -(5 -√7))*(x -(5 +√7)) = (x -5)^2 -(√7)^2
P(x) = x^2 -10x +18
Answer:
It is difficult to give a specific answer without your scenario but maybe this may help you out a bit.
Let's say you have a line like the one attached:
I labelled certain points b and u so you can use it as a reference. Now all you need to do is count all the points that lie on the same line and are found between.
In this case it would be point d and point e because the rest of the points do not line on the same line. For this problem particular scenario, the answer would be 2.
hope you find this helpful
Answer:
Option A and E.
Step-by-step explanation:
It is mentioned that Chiyo has a toolbox having a rectangular prism shape with a length of 8 inches, width of 15 inches, and height of 6 inches.
In addition to this, A triangular prism with a triangular base with base 8 inches and height 3 inches. The prism has a height of 15 inches.
So here the shape can be broken into a triangular prism and rectangular prism
Therefore the first option is correct
Now as we know that
Volume of the rectangular prism is
= l×b× h
= 8 × 15 × 6
= 720
And, the volume of the triangular prism is bh
And, the area of the triangular prism is 1 ÷ 2 × b × h
= 1 ÷ 2 × 8 × 3
= 12
Now the volume is
= 12 × 15
= 180
So, the volume of the tool box is
= 720 + 180
= 900
Hence, the last option is correct
Answer:
Step-by-step explanation:
We are given the following in the question:
Number of shirts bought from Walmart = n
Cost of one shirt at Walmart = $9 per shirt
Total cost of shirt at Walmart =

Number of shirts bought from Amazon = n
Cost of one shirt at Amazon = $8 per shirt
Shipping fee for entire order = $5
Total cost of shirt at Amazon =

Total amount spent by Netta on shirts in one day =
Total cost of shirt at Walmart + Total cost of shirt at Amazon

is the required expression where T(n) is the total cost and n is the number of shirts purchased at Walmart as well as Amazon.