Answer:
x^4 - 14x^2 - 40x - 75.
Step-by-step explanation:
As complex roots exist in conjugate pairs the other zero is -1 - 2i.
So in factor form we have the polynomial function:
(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)
= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)
The first 2 factors = x^2 - 2x - 15 and
( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2
= x^2 + 2x + 1 + 4
= x^2 + 2x + 5.
So in standard form we have:
(x^2 - 2x - 15 )(x^2 + 2x + 5)
= x^4 + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75
= x^4 - 14x^2 - 40x - 75.
Step-by-step explanation:
6 17/100=(6×100+17)/100=617/100×100%=617%i think
0.5 inches ph * 3 hours = 1.5 inches
+ 10 inches he started with.
= 11.5 inches.
I don’t know about the second question
The number of standard version download and high-quality download is 870 and 490 respectively.
<h3>Number of downloads of the high-quality version</h3>
let
- Number of high-quality download = y
- Number of standard version = x
x + y = 1360
2.9x + 4.1y = 4532
From (1)
x = 1360 - y
Substitute x = 1360 - y into (2)
2.9x + 4.1y = 4532
2.9(1360 - y) + 4.1y = 4532
3944 - 2.9y + 4.1y = 4532
- 2.9y + 4.1y = 4532 - 3944
1.2y = 588
y = 588/1.2
y = 490
Substitute y = 490 into (1)
x + y = 1360
x + 490 = 1360
x = 1360 - 490
x = 870
So therefore, number of standard version download and high-quality download is 870 and 490 respectively.
Learn more about simultaneous equation:
brainly.com/question/16863577
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Answer:
14.8 feet
Step-by-step explanation:
since this is creating a right triangle you can use the Pythagorean theorem which is a^2 + b^2 = c^2, and by plugging in the one leg length and the hypotenuse length you get 14.8324 which rounds up to 14.8
