Answer:
x^3-4x^2+25x-100
Step-by-step explanation:
We have 2 roots -5i and 4. Using the conjugate root theorem for the root -5i, we know that 5i should be another root
Combining the roots into a polynomial gives us:
(x+5i)(x-5i)(x-4)
Expand:
(x^2 + 25)(x-4)
x^3-4x^2+25x-100
The answer to this problem is the letter "A" which is "Multiply by 3, then add 2"
and can be written a N = 3n + 2
At first, we have initial value such n = 1
Then the second value is:
N = 3*1 + 2
N = 5
The third value is:
N = 3*5 + 2
N=17
The next values are:
N = 3*17 + 2
N= 53
The letter "A" is the inductive reasoning to the given sequence.
Answer:
B
Step-by-step explanation:
I Had this
Answer:
1. y=2x-2
Because the slope is 2 over 1. and the y-intercept is at -2.
2. I think is y=1/5x-2
9514 1404 393
Answer:
7.5 square units
Step-by-step explanation:
The formula for the area of a trapezoid is ...
A = 1/2(b1 +b2)h
where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them.
Here, the bases are TR = 1 and PA = 4. The height is 3 units, so the area is ...
A = (1/2)(1 +4)(3) = 15/2 = 7.5 . . . . square units