Answer:
Step-by-step explanation:
The domain of a rational function is all real numbers <em>except </em>for when the denominator equals 0.
So, to find the domain restrictions, set the denominator to 0 and solve for x.
We have the rational function:
Set the denominator to 0:
Subtract 9:
So, the domain is all real numbers except for -9.
In other words, our domain is all values to the left of negative 9 and to the right of negative 9.
In interval notation, this is:
And we're done :)
Answer:
It has a minimum and no maximum.
Step-by-step explanation:
This is the graph of a parabola that opens up, so it has a minimum but no maximum.
Probability is calculated by comparing the odds to a certain event occurring to the number of possible events.
P=
For example, take a six-sided dice number 1-6 on each side. The probability of rolling a 4 would be1 in 6 or 1/6. This is because of the six possible outcomes, rolling a 4 is only one of them.
P(4)=1/6
Now take the same dice. The probability of rolling an even number is 3/6. To see why, lets look at the total possible outcomes:
1
23
45
6
Of the 6 possibilities, 3 are even numbers.
P(even)=3/6 or 1/2
Answer:
$18.48
Step-by-step explanation:
To find a percentage you just multiply the amount x the percentage in decimal form.
17 x 0.087 = 1.479 tax
Then you add that number too the original total.
17+1.479 = 18.479
Then you round to the nearest cent.
18.48
Total:
$18.48
Given the slope, m = -2/3, and the x-intercept, (3,0):
Use these values and plug into the slope-intercept form to solve for the y-intercept, b:
y = mx + b
0 = -2/3(3) + b
0 = -2 + b
Add 2 to both sides to isolate b:
0 + 2 = -2 + 2 + b
2 = b
Now that we have our slope, m = -2/3, and the y-intercept, 2
The linear equation in slope-intercept form is:
y = -2/3x + 2
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