The answer would look like this:
Zeros 2, 3, 5
(x-2) (x-3) (x-5) = 0
(x^2 - 2x- 3x +6) (x - 5) =0
(x^2 – 5x + 6) (x - 5) = 0
x^2 (x -5) - 5x (x - 5) + 6 (x - 5)=0
x^3 - 5x^2 -5x^2 + 25x + 6x - 30 = 0
The cubic polynomial function would be this one:
x^3 -10 x^2 + 31x - 30 = 0
check the attachment for the graph
Answer:
6.1389 x 10^8
Step-by-step explanation:
Answer: IX - 4I ≤ 4
Step-by-step explanation:
In the numer line we can see that our possible values of x are in the range:
0 ≤ x ≤ 8
And we want to find an absolute value equation such that this set is the set of possible solutions.
An example can be:
IX - 4I ≤ 4
To construct this, we first find the midpoint M of our set, in this case is 4.
Then we write:
Ix - MI ≤ IMI
Notice that i am using the minor and equal sign, this is because the black dots means that the values x = 0 and x = 8 are included, if the dots were empty dots, it would be an open set and we should use the < > signs.
Answer:
He must get 33 hits in his next 46 times at bat to finish the year with a .400 batting average
Step-by-step explanation:
The player has already batted 134 times and will still bat 46 times. So in the end of the year, he is going to have 134 + 46 = 180 at bats.
How many hits does he need to have to hit .400?
This is 40% of 180, which is 0.4*180 = 72.
He has already 39 hits, so in his next 46 at bats, he will need 72 - 39 = 33 hits.
