Step-by-step explanation:
Line A : x + y = 2
The most likely equation for line B so that the set of equation has no solution is:
x + y = 4
====
x + y = 2
x = 2 - y
2-y + y = 4
0 = 4 - 2
0 ≠ 2
there is no value for x nor y. so, no solution.
Given that x=number of days
To model the expressions we use the exponential growth given by:
y=a(b)^nx
where:
a=initial value
b=growth factor
n=24 hours
thus Colby's experiment will be:
y=50(2)^(1/2*24*x)
y=50(2)^(12x)
N/B we multiply by 24 so as to convert days into hours
b] <span>Jaquan's starts with 80 bacteria that double every 3 hours.
a=80, b=2
thus
y=80(2)^(1/3</span>×24×x<span>)
simplifying the above we get:
y=80(2)^(8x)</span>
To find the inverse function, swap x x and y y , and solve the resulting equation for x x . If the initial function is not one-to-one, then there will be more than one inverse. So, swap the variables:
y=−x2−36 y = − x 2 − 36
becomes
x=−y2−36 x = − y 2 − 36 .
Now, solve the equation
x=−y2−36 x = − y 2 − 36 for y y .
y=−x−36‾‾‾‾‾‾‾‾√ y = − x − 36y=−x−36‾‾‾‾‾‾‾‾√ y = − − x − 36
ANSWER y=−x−36‾‾‾‾‾‾‾‾√ y = − x − 36 y=−−x−36‾‾‾‾‾‾‾‾√
A, “the graph passes the vertical line test.”
