Answer:
Increasing on it's domain 
because the slope is positive.
The domain and range are both all real numbers, also known as
.
Step-by-step explanation:
All domain really means is what numbers can you plug in and you get number back from your function.
I should be able to plug in any number into 3x+2 and result in a number. There are no restrictions for x on 3x+2.
The domain is all real numbers.
In interval notation that is .
Now the range is the set of numbers that get hit by y=3x+2.
Well y=3x+2 is a linear function that is increasing. I know it is increasing because the slope is positive 3. I wrote out the positive part because that is the item you focus on in a linear equation to determine if is increasing or decreasing.
If slope is positive, then the line is increasing.
If slope is negative, then the line is decreasing.
So y=3x+2 hits all values of y because it is increasing forever. The range is all real numbers. In interval notation that is .
Answer:
the answer is 546 hope this helps :)
Step-by-step explanation:
The scenario can be described using a piecewise function like:
f(x) = 1/x if x < c.
f(x) = x if x = c
f(x) = 1/(x + 73) if x > c.
<h3>
When the value exists but the limit does not?</h3>
Remember that the limit only exists if the limit from left and the limit from the right give the same value.
Then, we can just define a piecewise function of the form:
f(x) = 1/x if x < c.
f(x) = x if x = c
f(x) = 1/(x + 73) if x > c.
Clearly, this is not a continuous function.
Notice that:
So the limits from left and right are different, then:
Does not exist.
If you want to learn more about limits:
brainly.com/question/5313449
#SPJ1
Answer:
The container weighs approximately 28 g.
Step-by-step explanation:
In order to solve this problem we first need to calculate the volume of the container, since it's shaped like a cone we must use the following formula:
volume container = (pi*r²*h)/3
Applying the data from the problem:
r = d / 2 = 8/2 = 4 cm
volume container = [pi*(4)²*22]/3
volume container = (pi*16*22)/3
volume container = (352*pi)/3 = 368.6135 cm³
Since the density is 0.82 g/cm³, we can find the mass of the shake by using the following formula:
density = mass / volume
shake mass = density*volume = 0.82*368.6135 = 302.26307 g
Since the container plus shake weighs 330 grams, then the container alone weighs:
container = 330 -302.26307 = 27.73693 g
The container weighs approximately 28 g.
