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algol [13]
3 years ago
7

Which table represents a function?

Mathematics
1 answer:
Scilla [17]3 years ago
4 0

Answer:

Table 4 represents a function.

Step-by-step explanation:

Functions require that each x-value has a unique y-value. In the other tables you see a value repeated in the x column, with a different value in the y column.

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Consider the quadratic function f (x) = x2 - 5x + 6.<br> What does b = ?
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A quadratic function is represented as ax² + bx + c. In this case, if you look at the coefficient of x, you'll see that b = -5.

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4 years ago
Find (f ∘ g)(-6) when f(x) = 9x + 2 and g(x) = -9x2 - 2x + 1.
Salsk061 [2.6K]

Given that the two functions are f(x)=9x+2 and g(x)=-9x^2-2x+1

We need to determine the value of (f \circ g)(-6)

<u>The value of </u>(f \circ g)(x)<u>:</u>

The value of (f \circ g)(x) can be determined using the formula,

(f \circ g)(x)=f[g(x)]

Substituting g(x)=-9x^2-2x+1 in the above formula, we get;

(f \circ g)(x)=f[-9x^2-2x+1]

Now, substituting x=-9 x^{2}-2 x+1 in the function f(x)=9x+2, we get;

(f \circ g)(x)=9(-9x^2-2x+1)+2

(f \circ g)(x)=-81x^2-18x+9+2

(f \circ g)(x)=-81x^2-18x+11

Thus, the value of (f \circ g)(x) is (f \circ g)(x)=-81x^2-18x+11

<u>The value of </u>(f \circ g)(-6)<u>:</u>

The value of  (f \circ g)(-6) can be determined by substituting x = -6 in the function (f \circ g)(x)=-81x^2-18x+11

Thus, we have;

(f \circ g)(-6)=-81(-6)^2-18(-6)+11

(f \circ g)(-6)=-81(36)-18(-6)+11

(f \circ g)(-6)=-2916+108+11

(f \circ g)(-6)=-2797

Thus, the value of  (f \circ g)(-6) is -2797

Hence, Option B is the correct answer.

8 0
4 years ago
Which expression can be used to find the arc length of the sector shown?
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A

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