Answer:
zeros of F(x) are 1, 3 +
, -3 + ![\sqrt{13}](https://tex.z-dn.net/?f=%5Csqrt%7B13%7D)
Step-by-step explanation:
You need to solve the equation F(x) = 0
![x^{3} - 7x^{2} + 2x +40 = (x - 1)(x^{2} - 6x - 4) = 0\\ x = 1 \\ or \\ x^{2} - 6x -4 = 0](https://tex.z-dn.net/?f=x%5E%7B3%7D%20-%207x%5E%7B2%7D%20%20%2B%202x%20%20%2B40%20%20%3D%20%20%28x%20-%201%29%28x%5E%7B2%7D%20%20-%206x%20-%204%29%20%3D%200%5C%5C%20x%20%3D%201%20%20%20%20%20%5C%5C%20or%20%20%5C%5C%20x%5E%7B2%7D%20%20-%206x%20%20-4%20%20%3D%20%200)
Now solve the quadratic equation above using the quadratic formula.
You should get
![3 + \sqrt{13} \\ -3 + \sqrt{13}](https://tex.z-dn.net/?f=3%20%20%2B%20%20%5Csqrt%7B13%7D%20%5C%5C%20%20%20%20-3%20%2B%20%5Csqrt%7B13%7D)
So, the zeros of F(x) are 1, 3 +
, -3 + ![\sqrt{13}](https://tex.z-dn.net/?f=%5Csqrt%7B13%7D)
Answer: dowel is 24.5 long
Step-by-step explanation:
If Lana cuts 2 pieces of every 7 inches from dowel that means each piece is of 3.5 inches, and she needs total 7 pieces for a project so;
3.5*7=24.5
Answer:
504 in
Step-by-step explanation:
8 × 12 × 6 = 576
Then find the volume of the part that is taken out.
2 × 6 × 6 = 72
and now subtract them
576 - 72 = 504
so your answer is 504in
Answer:
12x+9=1
Step-by-step explanation:
9 more than comes after
12 times a number
12x
9 more than
12x+9
equals 1
12x+9=1
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<u><em>Answer⇒⇒⇒40 blue marbles</em></u>
Step-by-step explanation:
First find the probability of a blue marble
P (blue) = number of blue marbles / total marbles
= 2 blue/ ( 5+3+2) total
= 2/10
=1/5
We can use this since we return the marble to the bag each time
We multiply this by 200 for the number of times it is picked
200 * 1/5 = 40
We should expect to pick 40 blue marbles