Answer:
Yes
Step-by-step explanation:
Hope this helps!
Good Luck!
18/90 in simplest form is 1/5
18 and 90 are both divisible by 9
18 = 2
90 = 10
2 and 10 are divisible by 2
2 = 1
10 = 5
18/90 = 1/5
Answer:
200 = 10 Hours, 400 = 5 Hours, 600 = 3 Hours & 18 Minutes.
Step-by-step explanation:
2000 / How many miles it travels per hour.
2000 / 200 = 10
2000 / 400 = 5
2000 / 600 = 3.3..
Hey there!!
Parallel lines have the same slope. If they have different slope, then they are not parallel because both lines would combine at some point.
The y-intercept form:
<em>y = mx + b </em>
<u>In this equation, 'm' is considered to be the slope. </u>
The equation we have is 6y = -2x + 4
First, let's divide all the sides with 6 to isolate the value of 'y'.
... 6y = -2x + 4
... y = -1/3x + 2/3
<u><em>The slope is -1/3... </em></u>
<u><em>... hence the slope in the other equation should be -1/3. </em></u>
Equation we got...
... 2y = ax - 5
Let's divide by 2 on both sides...
... y = ax/2 - 5
The slope in this a/2
<u><em>Hence, ... </em></u>
<u><em>... a/2 = -1/3 </em></u>
<u><em>... 3a = -2 </em></u>
<u><em>... a = -2/3 </em></u>
<h2><u><em>
Hence, the value of a is -2/3. </em></u></h2><h3><u><em>
Hope my answer helps!</em></u></h3>
Part A:
To find the average rate of change, let us first write out the equation to find it.
Δy/Δx = average rate of change.
Finding average rate of change for Section A
Δy = f(1) - f(0) = 2(3)^1 - 2(3)^0 = 6 - 1 = 5
Δx = 1- 0 = 1
Plug the numbers in: Δy/Δx = 5/1 = 5
Therefore, the average rate of change for Section A is 5.
Finding average rate of change for Section B
Δy = f(3) - f(2) = 2(3)^3 - 2(3)^2 = 2(27) - 2(9) = 54 - 18 = 36
Δx = 3 - 2 = 1
Plug the numbers in: Δy/Δx = 36/1 = 36
Therefore, the average rate of change for Section B is 36.
Part B:
(a) How many times greater is the average rate of change of Section B than Section A?
If Section B is on the interval [2,3] and Section A is on the interval [0,1].
For the function f(x) = 2(3)^x, the average rate of change of Section B is 7.2 times greater than the average rate of change of Section A.
(b) Explain why one rate of change is greater than the other.
Since f(x) = 2(3)^x is an exponential function the y values do not increase linearly, instead increase exponentially. In an interval with smaller x values the rate of change is lower than an interval with larger x values.
