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professor190 [17]
3 years ago
6

Determine the range of the function graphed below. Answer choices are below as well

Mathematics
1 answer:
Softa [21]3 years ago
5 0

Answer:

The range of the function will be (- ∞, 4].

Step-by-step explanation:

See the graph attached.

Here we have to get the range of the graphed function.

The value of y in the graphed function varies in the range of less than or equal to 4.

Because the graph of the function does not move beyond 4 towards +∞.

Therefore, the range of the function will be (- ∞, 4]. (Answer)

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720 pt/h=______ qt/min
Gennadij [26K]
1 pt = 0.5 qts.....so 720 pts = (720 * 0.5) = 360 qts
1 hr = 60 minutes

360/60 = 6

720 pt/hr = 6 qts/min
7 0
3 years ago
Zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. They estimate
salantis [7]
The population Pa of insect A after t years is given by the equation 
     Pa = 1.3(1-0.038)^t 
while the population Pb of insect B after t years is 
     Pb = 2.1(1-0.046)^t

We equate the above expressions to find the number of years t it will take the two populations to be equal: 
     Pa = Pb
     1.3(1-0.038)^t  = 2.1(1-0.046)^t
     1.3(0.962)^t  = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.

We can now solve for t:
     (0.962)^t / (0.954)^t = 2.1/1.3
     (0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
     t = log (2.1/1.3) / log (0.962/0.954)
     t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
8 0
3 years ago
Read 2 more answers
What is the meaning of the variable x in terms of the situation?
viktelen [127]

It completely depends on the situation.

From everything we're given in the question, we
don't know anything about the situation yet.

4 0
3 years ago
Line AB contains points A (8, −4) and B (1, −5). The slope of line AB is....
shutvik [7]

Answer:

The\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .

Step-by-step explanation:

Formula for slope

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

As the Line AB contains points A (8, −4) and B (1, −5).

Put points value in the above

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

m = \frac{- 5- (-4)}{1 - 8}

m = \frac{- 5 + 4}{1 - 8}

m = \frac{- 1}{-7}

m = \frac{1}{7}

Therefore\ the\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .

7 0
3 years ago
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The sum of 2 rational numbers is 5/2. if one of the number is -7/3. then find the other number.
serg [7]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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