Answer:
Explanation:
The <em>end behavior</em> of a <em>rational function</em> is the limit of the function as x approaches negative infinity and infinity.
Note that the the values of even functions are the same for ± x. That implies that their limits for ± ∞ are equal.
The limits of the quadratic function of general form 
as x approaches negative infinity or infinity, when 
is positive, are infinity.
That is because as the absolute value of x gets bigger y becomes bigger too.
In mathematical symbols, that is:
Hence, the graphs of any quadratic function with positive coefficient of the quadratic term will have the same end behavior as the graph of y = 3x².
Two examples are:
In the fairest school 70% are below 16 years old
1/3 are teachers which is equals to = 21
Let’s start solving:
=> 1/3 of 100%
=> 100 / 3 = 33.33%
thus 33.33% = 21
=> 21 x 3 = 63, is the total number of people in the school.
Let’s try solving the number of people below 16 years old
Have you notice that you are asking for a 70% of students but there are already 33.33% of teacher. Thus your given problem is not right already.
=> 100% - 33.33% = 66.67% that’s the only remaining percentage and not 70%
=> 63 * .6667 = 42.0021
Thus, there are around 42 people who are 16 years old younger.
(2x-5y) + (x+y)
= (2x+x) + (-5y+y)
= 3x + (-4y)
= 3x-4y
So option A is the correct one.
Answer:
a) 
b) The should sample at least 293 small claims.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so , which means that the answer of question a is z = 1.645.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?
They should sample at least n small claims, in which n is found when
. So
The should sample at least 293 small claims.
<span>Cost of maple syrup = $6.00 a Gallon
Cost of corn syrup = 0.80 cents a Gallon
Cost of the syrup mixture = $2.36 a Gallon
There is mixture of 50 Gallons
Lets maple syrup be x gallons, so corn syrup be 50-x gallons
Hence,
6*x + 0.80(50-x) = 2.36*50
6x + 40 - 0.8x = 118
5.2x = 78
=> x = 78/5.2 => x = 15
So Maple will be syrup be 15 gallons.
Corn syrup will be 35 gallons.</span>
