In Middle School math, it means to find out what number ' x ' must be in order for the equation to be a true statement. In middle school, it can only be one number.
Vertical asymptotes are
vertical lines which correspond to the zeroes of the denominator of a
rational function<span>.
(They can also arise in other contexts, such as logarithms, but you'll
almost certainly first encounter asymptotes in the context of rationals.) I'll give you an example:
</span>
This is a rational function.
More to the point, this is a fraction. Can you have a zero in the denominator
of a fraction? No. So if I set the denominator of the above fraction equal
to zero and solve, this will tell me the values that x
cannot be:
x2
– 5x – 6 = 0<span>
</span>(x
– 6)(x + 1) = 0<span>
</span>x
= 6 or –1
So x
cannot be
6 or –1,
because then I'd be dividing by zero.
<span>
<span><span>
<span>
</span></span><span><span /><span>
</span>
</span>
</span></span>
The domain is the set
of all x-values
that I'm allowed to use. The only values that could be disallowed are
those that give me a zero in the denominator. So I'll set the denominator
equal to zero and solve.
<span>x2
+ 2x – 8 = 0</span><span>
</span><span>(x
+ 4)(x – 2) = 0</span><span>
</span><span>x
= –4</span> or <span>x
= 2</span>
Since I can't have a
zero in the denominator, then I can't have <span>x
= –4</span> or <span>x
= 2</span> in the domain.
This tells me that the vertical asymptotes (which tell me where the
graph can <span>not
</span>go) will be at the
values <span>x
= –4</span> or <span>x
= 2</span>.
domain:
<span>
</span><span>vertical
asymptotes: <span>x
= –4</span>,<span>
2</span></span>
<span>
<span>
</span></span>
Answer:
There is a decrease of 0.75 sales per day
Step-by-step explanation:
Given:-
- The price of item = p
- The number of sales = x
- The relationship between "p" and "x" is given below:
4p+4x+2px=56
Find the rate at which x is changing when x=2, p=6, and dp/dt=1.5 The rate at which x is changing is [ ] sales per day
Take the time derivative (d/dt) of the entire given expression and apply chain rule on d/dt ( 2px ). Since both "p" and "x" are only functions of time "t":
d/dt
4p+4x+2px=56
4*dp/dt + 4*dx/dt + 2*(x*dp/dt + p*dx/dt)=0
Use the given values x=2, p=6, and dp/dt=1.5 to determine dx/dt
4*1.5 + 4*dx/dt + 2*(2*1.5+6*dx/dt)=0
6+4dx/dt + 2*(3+6dx/dt)=0
6+4dx/dt + 6+12dx/dt=0
12+16dx/dt=0
12=-16dx/dt
dx/dt= 12/-16
= -0.75
Answer:
Step-by-step explanation:
Given, f = 3 and g = 5
Plug the values
⇒
Evaluate the power
⇒
Multiply the numbers : 3 and 5
⇒
Add the numbers : 3 and 25
⇒
Subtract 15 from 28
⇒
Hope I helped!
Best regards! :D