Answer:
15 minutes
35 minutes
20 minutes
Step-by-step explanation:
The first quartile is given by the starting point of the box on the plot, this point corresponds to 15 minutes
The maximum time is obtijed from the endpoint of the whisker, this corresponds to 35 minutes.
The median value corresponds to the vertical line in between the box on the plot, this point is designated as 20!minutes in the plot.
Oh my goodness . . .
What do you get when you multiply a number by itself ?
Do you get the square of the number ?
And what do you get when you square the square root of a number ?
Is it the number inside the square root ?
For just a second, let's take the quantity (4t - 3) and call it ' Q '.
Then the problem is to multiply
√Q times √Q .
Isn't that just ' Q ' ?
And is this enough help ?
Answer:
x = 124°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
x = 180° - (32 + 24)° = 180° - 56° = 124°
The Answer is 1.6875 Hope this helps
1) An operator is missing in your statement. Most likely the right expression is:
2x
f(x) = -------------
3x^2 - 3
So, I will work with it and find the result of each one of the statements given to determine their validiy.
2) Statement 1: <span>The
graph approaches 0 as x approaches infinity.
Find the limit of the function as x approaches infinity:
2x
Limit when x →∞ of ------------
3x^2 - 3
Start by dividing numerator and denominator by x^2 =>
2x / x^2 2/x
--------------------------- = ---------------
3x^2 / x^2 - 3 / x^2 3 - 3/x^2
2/∞ 0 0
Replace x with ∞ => ------------ = ------- = ---- = 0
3 - 3/∞ 3 - 0 3
Therefore the statement is TRUE.
3) Statement 2: The graph approaches 0 as x
approaches negative infinity.
</span><span><span>Find the limit of the function as x approaches negative infinity:
2x
Limit when x → - ∞ of ------------
3x^2 - 3
Start by dividing numerator and denominator by x^2 =>
2x / x^2 2/x
--------------------------- = ---------------
3x^2 / x^2 - 3 / x^2 3 - 3/x^2
2/(-∞) 0 0
Replace x with - ∞ => ------------ = ---------- = ---- = 0
3 - 3/(-∞) 3 - 0 3
Therefore, the statement is TRUE.</span>
4) Statement 3: The graph approaches 2/3 as x approaches
infinity.
FALSE, as we already found that the graph approaches 0 when x approaches infinity.
5) Statement 4: The graph approaches –1 as x approaches negative infinity.
</span>
FALSE, as we already found the graph approaches 0 when x approaches negative infinity.
