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Usimov [2.4K]
3 years ago
9

WHat is the y- intercept of the quadratic function f(x)=(x-6)(x-2)?

Mathematics
2 answers:
aleksandrvk [35]3 years ago
7 0
I think it's (0, -12)
erastova [34]3 years ago
6 0

Answer:

The y-intercept of the quadratic function f(x) is 12.

Step-by-step explanation:

The given function is

f(x)=(x-6)(x-2)

At y-axis the value of x is 0.

Substitute x=0 in the given function to find the y-intercept of the function.

f(0)=(0-6)(0-2)

On simplification, we get

f(0)=(-6)(-2)

f(0)=12

The graph of function intersect y-axis at (0,12).

Therefore the y-intercept of the quadratic function f(x) is 12.

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3 years ago
Find a polynomial f(x) of degree 3 that has the following zeros.
Thepotemich [5.8K]

Answer:

f (x) = x (x + 5) (x-9)

Step-by-step explanation:

The zeros of the polynomial are all the values of x for which the function f (x) = 0

In this case we know that the zeros are:

x = 9,\  x-9 =0

x = 0

x = -5, x + 5 = 0

Now we can write the polynomial as a product of its factors

f (x) = x (x + 5) (x-9)

Note that the polynomial is of degree 3 because the greatest exponent of the variable x that results from multiplying the factors of f (x) is 3

3 0
3 years ago
What is the period of the graph of the equation y = a sin bx?
steposvetlana [31]

T=2π/|b|. The period of an equation of the form y = a sin bx is T=2π/|b|.

In mathematics the curve that graphically represents the sine function and also that function itself is called sinusoid or sinusoid. It is a curve that describes a repetitive and smooth oscillation. It can be represented as y(x) = a sin (ωx+φ) where a is the amplitude, ω is the angular velocity with ω=2πf, (ωx+φ) is the oscillation phase, and φ the initial phase.

The period T of the sin function is T=1/f, from the equation ω=2πf we can clear f and substitute in T=1/f.

f=ω/2π

Substituting in T=1/f:

T=1/ω/2π -------> T = 2π/ω

For the example y = a sin bx, we have that a is the amplitude, b is ω and the initial phase φ = 0. So, we have that the period T of the function a sin bx is:

T=2π/|b|

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Find the number of possible outcomes in the sample space.
nikitadnepr [17]
I believe it’s A.

good luck!!
8 0
3 years ago
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