The following solutions to the given system of inequalities shown above would be option c : (-3, -5) option d : (0, 4) option e. (4, 4) and option f. <span>(2, -1)
So how did I know the answer. To check this, you just have to substitute the values.
For example let us take option c (-3, -5)
y </span><span>< 3x + 5
-5 </span><span>< 3(-3) + 5
-5 </span><span>< -9 + 5
-5 </span><span>< -4 <<You see that -4 is greater than -5 which makes this inequality correct. This is the same process as with the other correct options.
Hope that this answer helps.</span>
Answer:
456 / 10 = <u>45.6</u>
So the answer lies between <u>45</u> and <u>46</u>.
We can solve this problem by using the distance formula. The distance formula is:
We can now put in values and solve.

Part A:
The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

and
are points on the function
You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:




Now, let's find the slopes for each of the sections of the function:
<u>Section A</u>

<u>Section B</u>

Part B:
In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

It is 25 times greater. This is because
is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.
Y = 3x
so
if x = 5 then y = 15
if x = 10 then y = 30
so a = 10 and b = 15
answer is B. second choice
a = 10 and b = 15