Answer:
See explanation below for all parts
Step-by-step explanation:
Your current slope (m) is -1/2 (the orange colored slope) so the "opposite" slope would be 2/1 or 2(the blue colored slope)
The answer for number 3 is y=2x+b.
For number 4, plug in the point values for x and y and solve for b. The point given is (-4,-5).
-5=2(-4)+b Now simplify
-5=-8+b then add 8 to both sides to isolate b
3=b or b=3
For number 9, you now know that m is 2 and b is 3
y=2x+3
At the end of the third year the population of beetles will be 11,576beetles
<h3>Exponential equations</h3>
The standard form of an exponential function is given as:
y = ab^t
Given the following parameters
initial population 'a" = 10,000 beetles
Time = 3 years
rate b = 1.05
Substitute into the formula
y = 10,000(1.05)^3
y = 10,000(1.1576)
y = 11,576 beetles
Hence at the end of the third year the population of beetles will be 11,576beetles
Learn more on exponential function here: brainly.com/question/12940982
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1.625 is the decimal that is between 1.5 and 1.7
Answer:
(f+g)(x)=5x+2x²-7x+4+3x-7 = 2x²+x-3
Step-by-step explanation:
Answer:
The height is 14.3 km
Step-by-step explanation:
Given

--- angle of elevation
Required
Determine the height above the ground
The question is illustrated using the attached image.
To calculate the required height, we make use of:

Where AB represents the height and BC, the distance.
So:

Make AB the subject



--- approximated