Answer:
0 ≤ t ≤ 5.
Step-by-step explanation:
In the function
,
is the independent variable. The domain of
is the set of all values of
that this function can accept.
In this case,
is defined in a real-life context. Hence, consider the real-life constraints on the two variables. Both time and volume should be non-negative. In other words,
.
.
The first condition is an inequality about
, which is indeed the independent variable.
However, the second condition is about
, the dependent variable of this function. It has to be rewritten as a condition about
.
.
Hence, t ≤ 5.
Combine the two inequalities to obtain the domain:
0 ≤ t ≤ 5.
5/8=.625 and 7/15=.466 repeating so 5/8 is a bigger fraction
It will be option 3 so the answer is 1 quarts
Imagine a trigonometric circle with radius equal to 1.
We can say that the opposite side of the angle generated by the origin is equal to sen Ф and the adjacent equal to cos Ф
With this we can say that:
h² = c² + c²
If r = 1, then h = 1
1² = cos² + sen²
1 = cos² Ф + sen² Ф
You can use this equation a lot of times because it's the fundamental trigonometric relation
, so, when you something like:
sen Ф = cos Ф + 1
you can take from sen² Ф + cos² Ф = 1 that
and then resolve.
Answer:
y=1/2x-5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-(-2))/(12-6)
m=(1+2)/6
m=3/6
simplify
m=1/2
----------------------
y-y1=m(x-x1)
y-(-2)=1/2(x-6)
y+2=1/2(x-6)
y=1/2x-6/2-2
y=1/2x-3-2
y=1/2x-5