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yKpoI14uk [10]
4 years ago
5

Which of the following functions is represented by the graph below?

Mathematics
1 answer:
Ann [662]4 years ago
6 0

Answer:

A. y = 3 cos (1/2) x.

Step-by-step explanation:

The y-intercept is 3  so it will contain 3 cos x (because  y = cos x passes through (0, 1).

The graph of 3 cos x has been stretched horizontally  by a factor 2 ( 3 cos x would pass through (π/2, 0) whereas the given graph passes through  (π, 0).

So the equation is 3 cos(1/2) x

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Answer:

(1/2, 3/2)

Step-by-step explanation:

solve the 1st variable in one of the equations and then substitute it and the result will be turned into the other equation.

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3 years ago
Write a polynomial function in factored form with double roots at -2 and 5 and the constant term of the polynomial in standard f
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Answer:

f(x)=-0.4x^4+2.4x^3+8.4x^2-24x-40

Step-by-step explanation:

If -2 and 5 are double roots of the polynomial function, then the function expression is

f(x)=a(x-(-2))^2(x-5)^2\\ \\f(x)=a(x+2)^2(x-5)^2

Rewrite this function in standard form:

f(x)=a(x^2+4x+4)(x^2-10x+25)\\ \\f(x)=a(x^4-10x^3+15x^2+4x^3-40x^2+100x+4x^2-40x+100)\\ \\f(x)=a(x^4-6x^3-21x^2+60x+100)\\ \\f(x)=ax^4-6ax^3-21ax^2+60ax+100a

The constant term of the polynomial in standard form is -40, so

100a=-40\\ \\a=-\dfrac{40}{100}=-0.4

Therefore, the function expression is

f(x)=-0.4x^4-6\cdot (-0.4)x^3-21\cdot (-0.4)x^2+60\cdot (-0.4)x+100\cdot (-0.4)\\ \\f(x)=-0.4x^4+2.4x^3+8.4x^2-24x-40

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4 years ago
Select the correct answer.
katen-ka-za [31]

Answer:

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Step-by-step explanation:

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3 years ago
Measure the angle shown below.
Ilia_Sergeevich [38]
The answer is 20, I hope this helped :)
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3 years ago
Read 2 more answers
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