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nordsb [41]
1 year ago
9

5. If z=10 find the value of Z3-3(2-10)​

Mathematics
1 answer:
avanturin [10]1 year ago
3 0

Answer:

54

Step-by-step explanation:

BEDMAS

z=10

(10)3-3(2-10)

=(10)3-3(-8)

=30-(-24) *2 negatives = a positive

=30+24

=54

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Your charge for parking on Friday is for 3 hours, so $6.

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Find f(x)•g(x)<br> f(x) = 3x - 1<br> g(x) = x^2 + 4
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1. the question is asking you to multiply the two function expressions together

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Write an equation for the function graphed below
Gnoma [55]

f(x) = 12(x - 1)/[(x + 2)(x - 3)] is the equation of the function graphed as in the figure. This can be obtained using the formula of f(x) = P(X)/Q(X) by vertical asymptotes and factors of the polynomial.

<h3>Write an equation for the function:</h3>

Let  where P(X) and Q(X) are polynomial function.

The function has the following:

  • From the given graph, we can say that the vertical asymptotes x = - 2 and x = 3, this means that at values of x = -3 or x = 2, the denominator becomes zero and the function becomes undefined.

This means that, -3 and 2 are roots of the denominator. Thus, the equation of the denominator is:

⇒ Q(X) = (x + 2)(x - 3)

  • From the given graph, we can say that the zero is 3, P(X) has the factor (x - 3)

Let a be the leading coefficient of P(X)

⇒ P(X) = a(x - 1)

Now for finding the value of a we can rewrite the equation as,

⇒ f(x) = P(X)/Q(X)

⇒ f(x) = a(x - 1)/[(x + 2)(x - 3)]

⇒ f(0) = a(0 - 1)/[(0 + 2)(0 - 3)]

Since from the graph we can say that the y-intercept is (0, - 2), this means that when x = 0, y = -2, f(0) = - 2

⇒ - 2 = -a/[(2)(- 3)]

⇒ a = - 2 × 2 × 3

⇒ a = - 12

By putting a = -12 in f(x) we get,

⇒ f(x) = 12(x - 1)/[(x + 2)(x - 3)]

Hence f(x) = 12(x - 1)/[(x + 2)(x - 3)] is the equation of the function graphed as in the figure.

Learn more about graphed functions here:

brainly.com/question/24886387

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