Combined rates
Susan = 2 car / 3 hr
= 2/3
Joe = 3 car / 4 hr
= 3/4
add the rates to get the new combined rate as 17 cars in "t" hours.
2/3 + 3/4 = 17/t
Need common denominator
2/3(4/4) + 3/4(3/3) = 17/t
8/12 + 9/12 = 17/t
17/12 = 17/t
see that "t" is 12 hours
Answer:
The graph in the attached figure
Step-by-step explanation:
we have

This is a exponential function of the form

where
a is the initial value or the y-intercept
b is the base of the exponential function
If b>1 then is a exponential growth function
If b<1 then is a exponential decay function
In this problem
The y-intercept is equal to
For x=0

The y-intercept is the point (0,1)
so


The value of b is greater than 1
so
Is a growth function
To plot the graph create a table with different values of x and y
For x=-1
f(x)=2^-1=0.5
point (-1,0.5)
For x=1

point (1,2)
For x=2

point (2,4)
For x=3

point (3,8)
For x=4
f(x)=2^4=16
point (4,16)
Plot the y-intercept and the other points and connect them to graph the exponential function
Note that as x increases the value of y increases (exponential growth function)
The graph in the attached figure
Answer:
9.6
Step-by-step explanation:
Find the diagram attached. Using the similarity theorem of triangles
AC/AD = FH/EH
Given
AC = 24
AD = 35
FH = x
EH = 14
Substitute into the formula
24/35 = x/14
Cross multiply
35×x = 24×14
35x = 336
x = 336/35
x = 9.6
Hence the value of x is 9.6
I believe it is the commutative property, hope this helps!
Answer:
Step-by-step explanation:
a. 1 & 2
b. 3 & 5
c. 2/15
d. 2/5 x 5/3
e. 10/15= 2/3