Answer:
Option 2 ( 1,-10)
Step-by-step explanation:
The two equations are y = -x²-5x-4 -----(1)
and y = -x²+9x-18-------(2)
To get the solution of these lines we will substitute the value of y form equation 1 to 2.
- x² - 5x -4 = -x²+9x-18
Now by collecting similar terms on each side.
-x² -5x + x²-9x = -18 + 4
-14x = -14
14x = 14
x = 1
By putting the value of x in equation 1.
y = -1 - 5 - 4 = -10
So the solution is (1, -10)
Therefore Option 2 is the correct answer.
Answer:
The equation
is equal to
.
Step-by-step explanation:
Let be the equation
, we proceed to rewrite the equation solely by algebraic means:
1)
Given
2)
Definition of power/Associative property
3)
Perfect square trinomial
4)
Distributive property/
5)
Definition of power
6)
Compatibility with multiplication/Commutative and modulative properties/
Horizontal means dy/dx=0
vertical means that you are dividing by 0 or dy/dx is undefined
at x=0, dy/dx=0
at y=4, dy/dx=0
so the answer is I and II
answer is 3rd option
The true statement is that colony 2 will always have more bacteria than colony 1 after 4 months
<h3>How to determine the number of months?</h3>
The functions are given as:
- Colony 1: f(x) = x^2
- Colony 2: g(x) = 2^x
When colony 2 has more bacteria than colony 1, then it means that:
g(x) >f(x)
Substitute the function values
2^x > x^2
From the graph of both functions, we have:
2^x > x^2 at x >4
This means that colony 2 will always have more bacteria than colony 1 after 4 months
Read more about functions at:
brainly.com/question/11464095
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