The answer to the question
Y=mx+b
m=slope
perpendicular lines have slopes that multiply to get -1
the slopes are
for

and

, the slope are

since their product is -1, the lines are perpendicular
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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Answer :
A) y = 7x + 4
Step-by-step explanation:
we need to see the equations 1 by 1
instead of y and x we need to put the value given
I am taking the last x and yes values as they are small numbers and will be easy to calculate
x = -1
y = -3
placing the values in equation :
A) y = 7x + 4
-3 = 7 × -1 + 4
-3 = -7 + 4
-3 = -3
So we got the answer same ! so the correct answer will be A) y = 7x + 4
let's check other one too to confirm overselves
b) y = 4x + 7
-3 = 4 × -1 + 7
-3 = -4 + 7
-3 = 3 NOT AN ANSWER