a. Answer: m = 2
<u>Step-by-step explanation:</u>
f(x) = x² - 4x + 1
f(m) = m² - 4m + 1 = -3
m² - 4m + 4 = 0
(m - 2)(m - 2) = 0
m = 2
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b. Answer: k = 2 and k = 5
<u>Step-by-step explanation:</u>
f(x) = x² - 7x + 14
f(k) = k² - 7k + 14 = 4
k² - 7k + 10 = 0
(k - 2)(k - 5) = 0
k = 2 k = 5
Answer:
Hey
Step-by-step explanation:
500 feet total is your answer because if you multiply the two numbers you et 500
We will conclude that:
- The domain of the exponential function is equal to the range of the logarithmic function.
- The domain of the logarithmic function is equal to the range of the exponential function.
<h3>
Comparing the domains and ranges.</h3>
Let's study the two functions.
The exponential function is given by:
f(x) = A*e^x
You can input any value of x in that function, so the domain is the set of all real numbers. And the value of x can't change the sign of the function, so, for example, if A is positive, the range will be:
y > 0.
For the logarithmic function we have:
g(x) = A*ln(x).
As you may know, only positive values can be used as arguments for the logarithmic function, while we know that:

So the range of the logarithmic function is the set of all real numbers.
<h3>So what we can conclude?</h3>
- The domain of the exponential function is equal to the range of the logarithmic function.
- The domain of the logarithmic function is equal to the range of the exponential function.
If you want to learn more about domains and ranges, you can read:
brainly.com/question/10197594
Answer:
y = 2x
Step-by-step explanation:
Use Rise over Run. The rise(up/down) is 2 and the run(sideways) is 1. The slope is going up, not down so the 2 is positive. So, it is positive 2/1, which you can write as 2.
Answer:
D) 12,656
Step-by-step explanation:
First of all, as they have given us 3 quantities of plants in 1/2 an acre, we can work out the average amount of plants in 1 whole acre.
In the first 1/2 acre there were:
In the second 1/2 acre there were:
In the third 1/2 acre there were:
to work out the average, we add all these together then divide them by 3 (as there are 3 examples)
291 + 327 + 286 = 904
904 ÷ 3 = 301.3 (this is the average amount of plants in every 1/2 acre.) If we multiply this answer by 2 we will get the average amount of plants in every acre.
301.3 x 2 = 602.67 (average plants in every 1 acre) multiply by total acres (21) for your answer
602.67 x 21 = 12656 average plants in total
I hope this was helpful :-)