Find the following function find the zeroes and y-intercept.y=(4x−3)(5x−2)2𝑦=(4𝑥−3)(5𝑥−2)2Zeroes =Answer 1 Question 3y-interceptAnswer 2 Question 3
Question
Find the following function find the zeroes and y-intercept.y=(4x−3)(5x−2)2𝑦=(4𝑥−3)(5𝑥−2)2Zeroes =Answer 1 Question 3y-interceptAnswer 2 Question 3
Solution
To find the zeroes of the function y=(4x−3)(5x−2)^2, we set y to 0 and solve for x.
0 = (4x−3)(5x−2)^2
This equation will be 0 when either (4x-3) = 0 or (5x-2)^2 = 0.
Solving for x in (4x-3) = 0:
4x = 3 x = 3/4
Solving for x in (5x-2)^2 = 0:
5x - 2 = 0 5x = 2 x = 2/5
So, the zeroes of the function are x = 3/4 and x = 2/5.
To find the y-intercept, we set x to 0 in the equation:
y = (40 - 3)(50 - 2)^2 y = (-3)(-2)^2 y = -3*4 y = -12
So, the y-intercept of the function is y = -12.
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