Answer:
Third option.
Step-by-step explanation:
In the picture attached, the question is shown. There we can see that as x gets bigger (x → ∞), f(x) gets smaller (f(x) → -∞ ). On the other hand, as x gets smaller (x → -∞), f(x) gets bigger (f(x) → ∞ ).
Answer:
Sample space: {1, 2, 3, 4, 5, 6}
Simple event
Step-by-step explanation:
Sample space is a list of all the possible outcomes.
This is a simple event because you are only doing one event, such as rolling a die.
A compound event would be multiple simple events, such as flipping a coin <em>and </em>choosing a marble from a bag.
First off, I think the equation should have a negative 9 in it originally and then you move it to the other side and it becomes positive.
You'll basically complete the square for two equations at the same time. Set it up like this:
(16x^2 + 96x) + (9y^2 - 18y) = 9
Divide everything by 16 to get the x^2 by itself, then divide everything by 9 to get y^2 by itself. You should end up with this.
(x^2 + 6x) + (y^2 - 2y) = 9/144
then complete the square by taking the second term of each polynomial, dividing by two, and squaring it.
For instance the first one will be 6/2 = 3^2 = 9
The next one will be 2/2 =1^2 = 1
Add these to numbers to the polynomials as well as to the other side of the equation to keep it equal. You should end up with this.
(x^2 + 6x+9) + (y^2 - 2y+1) = (9/144)+9+1
Then find a common denominator on the right side of the equals sign and add them all together to get:
(x^2 + 6x+9) + (y^2 - 2y+1) = 1449/144
Factor out the two polynomials
(x+3)^2 + (y-1)^2 = 1449/144
the center of the circle is (-3,1) according to the factored out polynomials and the radius will be the square root of the number on the right side of the equals sign = sqrt(1449/144) = 3.17
Answer:
6850 & 650
Step-by-step explanation:
The question is partly incomplete as it didn't state the cost of ticket sold. Also, it didn't state the total number of tickets sold. But, assuming that the tickets sold were $15 and $25 tickets, and the total number of tickets sold was 7500, then we say that
Let x = the number of $15 tickets sold
Let y = the number of $25 tickets sold
x + y = 7500 y = 7500 - x
15x + 25y = 119000
15x + 25(7500-x) = 119000
15x + 187500 - 25x = 119000
-10x = -68500
x = 68500 / 10
x = 6850 tickets at $15 each
Remember from the first calculation, we said x + y = 7500, then
y = 7500 - 6850
y = 650 tickets at $25 each
All you have to do is substitute the values I assumed for your given value. Thanks
Answer:
8 hours
Step-by-step explanation:
Using the relationship
speed = 
= 
= 42
travelling at a rate of 42 mph , then
time = 
= 
= 8 hours
