Answer:
Undefined
Step-by-step explanation:
Use the following formula to solve for slope:
The equation is not a function and therefore the slope is undefined because there are multiple y values for a single x value.
Cal had $15. He spent $3 on pens and $8 on a book.
2 answers:
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Answer:
x = ± , x = ± i
Step-by-step explanation:
f(x) = - x² - 2
to find the zeros , equate f(x) to zero , that is
- x² - 2 = 0
using the substitution u = x² , then
u² - u - 2 = 0 ← in standard form
(u - 2)(u + 1) = 0 ← in factored form
equate each factor to zero and solve for u
u - 2 = 0 ⇒ u = 2
u + 1 = 0 ⇒ u = - 1
convert u back into terms of x
x² = 2 ( take square root of both sides )
x = ±
x² = - 1 ( take square root of both sides )
x = ± = ± i
You can think of this experiment as follows: you have to select a random number between 1 and 15, where each number is equally likely to appear.
Player A wins if 3,4,5 or 6 are picked.
Player B wind is 10,11 or 12 are picked.
Two events are said to be mutually exclusive if they cannot happen at the same time. So, in our metaphor, the question is: can we pick a particular number, so that both players win simultaneously?
The question is no, because if player A wins, we have picked 3,4,5 or 6, and player B wins with none of these numbers.
Similarly, if player B wins, we have picked 10, 11 or 12, and player A wins with none of these numbers.
So, the two events cannot occur simultaneously.
If you want to be more formal, since the events are subset of the sample space, two events are mutually exclusive if their intersection is the empty set, and this is the case:
Answer:
Step-by-step explanation:
we know that
The equation of a exponential growth is equal to
where
a is the initial value
r is the rate of growth
x is the time in hours
y is the value of the quantity
we have
substitute
For x=22 hours
substitute