A one to one function is given. Write an equation for the inverse function M(x)=4x^3-3
1 answer:
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Answer:
The x-intercept is 4
Step-by-step explanation:
We are given;
The slope of a line as -3/4
y-intercept is 3
We are supposed to determine the x-intercept;
We need to know that;
The slope of a line is given by the ratio of the change in y to the change in x
The coordinates of y-intercept are (0, 3)
Taking the x-intercept as a, then the coordinates of x-intercept is (a, 0)
But;
slope = Δ in y ÷ Δ in x
Therefore;
Solving for a
Therefore, the x-intercept is 4
Answer:
Step-by-step explanation:
the answer is -9
Answer:
Standard Complex Form :
Step-by-step explanation:
We want to rewrite this expression in standard complex form. Let's first evaluate cos(5π / 6). Remember that cos(x) = sin(π / 2 - x). Therefore,
cos(5π / 6) = sin(π / 2 - 5π / 6),
π / 2 - 5π / 6 = - π / 3,
sin(- π / 3) = - sin(π / 3)
And we also know that sin(π / 3) = √3 / 2. So - sin(π / 3) = - √3 / 2 = cos(5π / 6).
Now let's evaluate the sin(5π / 6). Similar to cos(x) = sin(π / 2 - x), sin(x) = cos(π / 2 - x). So, sin(5π / 6) = cos(- π / 3). Now let's further simplify from here,
cos(- π / 3) = cos(π / 3)
We know that cos(π / 3) = 1 / 2. So, sin(5π / 6) = 1 / 2
Through substitution we receive the expression 25( - √3 / 2 + i(1 / 2) ). Further simplification results in the following expression. <u>As you can see your solution is option a.</u>