Answer:
D
When I graph it I get ↓↓↓
<em>Hope this helps!!!</em>
Answer:
1: 18.75
Step-by-step explanation:
We multiply both sides by 5.
No it is not a negative slope
The roots are (x + 1), (x - 4), (2 + 5i), and (2 - 5i).
g(x) = (x2 - 3x - 4)(x2 - 4x + 29)
Let us first consider x^2 - 3x - 4
By splitting the middle term
= x^2 + 1x - 4x - 4
= x(x + 1) - 4(x + 1)
= (x + 1)(x - 4)
Now let us consider x^2 - 4x + 29
First group the terms with variable on LHS and move the constant on the other side
x^2 - 4x = -29
Add 4 on both sides
x^2 - 4x + 4 = -29 + 4
x^2 - 4x + 4 = -25
It can be written as perfect squares
(x - 2)^2 = -25
We know that
i =√1
Take square root on both sides
x - 2 = ± 5i
x = 2 ± 5i
So we get,
x = 2 + 5i and x = 2 - 5i
g(x) = (x + 1)(x - 4)(2 + 5i)(2 - 5i)
A square root of a number is a price that, whilst extended by means of itself, offers variety. instance: four × four = 16, so a square root of 16 is four. The word that (−four) × (−four) = 16 too, so −four is likewise a square root of sixteen. The symbol is √ usually way the wonderful rectangular root. example: √36 = 6 (because 6 x 6 = 36).
Learn more about the square roots here brainly.com/question/3617398
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- Multiply by the conjugate ![\frac{4+ \sqrt{3} }{4+ \sqrt{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B4%2B%20%5Csqrt%7B3%7D%20%7D%7B4%2B%20%5Csqrt%7B3%7D%7D)
= ![\frac{5(4+\sqrt{3})}{(4-\sqrt{3})(4+\sqrt{3})}](https://tex.z-dn.net/?f=%5Cfrac%7B5%284%2B%5Csqrt%7B3%7D%29%7D%7B%284-%5Csqrt%7B3%7D%29%284%2B%5Csqrt%7B3%7D%29%7D)
![(4-\sqrt{3})(4+\sqrt{3})=13](https://tex.z-dn.net/?f=%284-%5Csqrt%7B3%7D%29%284%2B%5Csqrt%7B3%7D%29%3D13)
= ![\frac{5(4+\sqrt{3})}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B5%284%2B%5Csqrt%7B3%7D%29%7D%7B13%7D)