Triangle Area = .5 * base * height
48 = .5 * (x +4) * x
48 = (.5x + 2) * x
48 = .5x^2 + 2x
.5x^2 + 2x -48 = 0
x = 8
base = 12
Answer:
-Exponential Decay
-Decay factor is (1-0.05)
Step-by-step explanation:
-Given that the number decreases by a defined rate each year from the initial size by 5%,
-This is an exponential decay function of the form:
Where:
is the quantity/size after time t
is the initial size
is the rate of decay
-Our function can the be written as
Hence, the decay rate/factor is 0.05
#Alternatively
The exponential decay can be of the form:
Where:
y is the size at time x, a is the initial size, x is time and b is the decay factor.
b is of the form 
Hence, the decay factor is (1-0.05)
Answer:
Step-by-step explanation:
Sum
-2d + 1 + 6d + 4
Solving like terms
4d + 5
Difference
-2d + 1 - 6d - 4
-8d - 3
Answer:
Fifty more than half the number of the oranges is one-hundred-and-twenty.
The sum of fifty and half the number of oranges is the same as one-hundred-twenty.
Step-by-step explanation:
The equation is 50 + one-half m = 120.
Assume the number of oranges=m
50+1/2m=120
1/2m=120-50
1/2m=70
m=70÷1/2
=140
All statement that applies includes:
1. Fifty more than half the number of the oranges is one-hundred-and-twenty.
50+1/2m=120
2. The sum of fifty and half the number of oranges is the same as one-hundred-twenty.
50+1/2m=120
Martha can use the two statements above to communicate the correct equation
The slope of x-y=8 is 1 because it's actually y = x-8
Parallel means the slope is equal to 1 as well.
