The following statements are true about exponential functions:
-The domain is all real numbers.
- The input to an exponential function is the exponent.
- The base represents the multiplicative rate of change.
The reason why the other two options are wrong are explained below:
The range of exponential functions is not always includes negative numbers; on the contrary, the range is the set of all positive real numbers.
The graph of an exponential function does not have a horizontal asymptote at x = 0; contrarily, the equation of the horizontal asymptote of the graph of is y = 0, which is the x-axis.
Answer:
23/12 pizzas per teenager
Step-by-step explanation:
5 3/4=23/4
(23/4)/3
(23/4)(1/3)=23/12
Y=x-3
Because the slope is 2-(-3)/5-0= 5/5= 1 and the y intercept is -3
The calculation of the integral will give us the answer.
Amount = Int (2000e^(-0,2t))dt
With t = 0 to t = 10
A = 2000.In(e^(-0,2t))dt
Making U = -0,2t
U = -0,2t
dU/dt = d(-0,2t)/dt
dU/dt = -0,2
dU = -0,2dt
dt = dU/-0,2
_______________
Then,
A = 2000.Int (e^U).dU/-0,2
A = -10.000.Int(e^U)dU
A = -10.000.e^U
A = -10.000.e^(-0,2t) | (0,10)
A = -10.000.(e^(-2)) - [ -10.000.e^(0)]
A = -10.000.e^(-2) + 10.000
A ~ 8,646 Gallons
Answer:
Step-by-step explanation:
The shape can be divided into two parts, let use the division in the question
So we have two rectangles
The area of a rectangle is given by l×b.
Let the big rectangle be 1
And the smaller rectangle be 2
Rectangle 1
Length is 16cm, breadth is 6cm
Area=l ×b
Area=16×6
Area=96cm^2
Rectangle two
The length will be 14-6=8cm
And the breadth will be 16-2=14cm
Then,
Area=l ×b
Area=14×8
Area=112cm^2
Total area is
Area1+Area2
112+96
Total area=208cm^2.
