First, let's find the x and y intercepts
In the first equation
y - 4x = -1
Put x =0
y= - 1
(0, -1)
Put y=0 and the n solve for x
0 - 4x = -1
-4x = -1
x=0.25
(0.25 , 0)
The points for the first equation is (0, -1 ) and (0.25, 0)
Next is to find the intercts for the second equation
y + x = 4
put x=0
y = 4
(0, 4)
Put y =0
0 + x = 4
x = 4
( 4, 0)
The points for the second equation are;
(0, 4) and (4, 0)
Below is the graph
Answer:
f(x) = 300,000(1.05)^x
Step-by-step explanation:
Use the exponential growth equation:
f(x) = a(1 + r)^x
Plug in 300,000 as a, since it is the original population:
f(x) = 300,000(1 + r)^x
The city's population is growing at 5% each year, so plug in 0.05 as r:
f(x) = 300,000(1 + 0.05)^x
f(x) = 300,000(1.05)^x
So, the function for the population growth is f(x) = 300,000(1.05)^x
Answer:
3/4 is greater than 1/2
45% = 9/20 is less than 1/2
1/3 is less than 1/2
0.62 is greater than 1/2
59% = 59/100 is greater than 1/2
0.315 is less than 1/2
So, A, D and E are greater than 1/2
Hope this helps!
Answer:
Exponential Decay
Step-by-step explanation:
It's exponential growth when your base value is > 1. Example:
1.3ˣ, 2ˣ, 7ˣ, 999ˣ
It's exponential decay when the base value is < 1. Example:
0.9ˣ, 0.45ˣ, (1/2)ˣ, 0.79ˣ, .999ˣ
It's neither when the base value = 1. Example:
1ˣ
1. 15/3:3/3
2. 5:1
1. find the same denominator
2. divide by denominator
