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.
Answer:

Step-by-step explanation:
Distance = 
Here X is -3
So,
Point Y = -3 + 6.5 = 3.5
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
17/10-(2/5x2/2)
17/10-4/10
=13/10
We have a domain of a function, that is, which x-es can we throw in. But we are asking which y-s will we get given that we can only throw x-es in
.
Let's try
even though we are forbidden to put 4 inside
we are still able to do so.
So
what we just got is the upper limit of the range. The lower limit is
.
So the range is just
.
Hope this helps :)
Kevin sold 10 pounds of apples and 20 pounds of raspberries.
Step-by-step explanation:
Given,
Cost per pound of apples = $3.50
Cost per pound of raspberries = $4
Total amount earned = $115
Let,
x represent the pounds of apples sold
y represent the pounds of raspberries sold
According to given statement;
3.50x+4y=115 Eqn 1
y = 2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1

Dividing both sides by 11.50

Putting x=10 in Eqn 2

Kevin sold 10 pounds of apples and 20 pounds of raspberries.
Keywords: linear equation, substitution method
Learn more about linear equations at:
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