Answer:
x = 6
Step-by-step explanation:
First, we need to cross multiply on both sides, which gives us:
9 * (5x - 6) = 27 * (2 + x)
45x - 54 = 54 + 27x
Now, we want to isolate x on either side.
We can substract 54 from both sides:
(45x - 54 = 54 + 27x) - 54
45x - 108 = 27x
We then subtract 45 from both sides:
(45x - 108 = 27x) - 45
-108 = -18x
Finally, we divide both sides by -18:
(-108 = -18x) / -18
6 = x
Answer:
(B) Decrease by 12.5%
Step-by-step explanation:
For this case we know that the revolution is proportional to the circumference.
And we know that the average number of revolutions of 32 inch tires for Tuesday is higher than the original value of 28 inch tires for Monday.
We know that we have x mi/hr, so we can select a value fo x in order to find the average revolutions with the following formula:
Let's say that we select a value for x for example x= 28*32 = 896, since this value is divisible by 32 and 28.
If we find the average revolutions per each case we got:
Tuesday:
Monday:
And then we can find the % of change like this:
And if we replace we got:
Because we are assuming that the initial amount is the value for Monday and the final value for Tuesday.
So then the best answer for this case would be:
(B) Decrease by 12.5%
Answer:
(b) reduce the variability of the poll result.
Step-by-step explanation:
when the sample size of an opinion poll is increased, more data will be gathered about the population, and when there is enough data present, The estimates that is made afterward base on the gathered data will be more accurate compare with when there is small sample size. It should be noted that when the sample size of an opinion poll is increased, it will reduce the variability of the poll result.
Answer:
A.
Step-by-step explanation:
So slope intercept form is y = mx + b
m = slope.
b = y intercept.
y = 4/3x - 3/4
Answer: Option D
Step-by-step explanation:
If the graph of the function represents the transformations made to the graph of then, by definition:
If the graph moves vertically upwards.
If the graph moves vertically down
If The graph moves horizontally h units to the left
If The graph moves horizontally h units to the right
In this problem we have the function and our parent function is
therefore it is true that and
Therefore the graph of is <u><em>moves horizontally 3 units to the left</em></u>. Also, as then the graph <u><em>moves vertically 7 units down
</em></u>
Therefore the answer is the option D