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3 years ago

What is the fraction 18/24 reduced to its lowest terms?

2 answers:

8 0

First, find the greatest common factor (GCF) of the numerator and denominator.

Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Common Factors: 1, 2, 3, 6
GCF: 6

Now, divide the numerator by 6 and the denominator by 6.

18 ÷ 6 = 3
24 ÷ 6 = 4

Set these as your new numerator and denominator.

$\frac{3}{4}$

The answer is (b).

anastassius [24]3 years ago

7 0

$\boxed{ \frac{18^{\div6}}{24^{\div6}} ~\to~ \frac{3}{4} }$

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One x-intercept of the graph of the of the cubic function f(x) = x^3 – 2x^2 – 111x – 108 is –9.

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Answer:

The zeros of the given function are -9,-1 and 12.

Step-by-step explanation:

The given function is

$f(x)=x^3-2x^2-111x-108$

It is given that the x-intercept of the graph is -9, therefore -9 is a zero of the function.

Since -9 is the zero of the function, therefore (x+9) is a factor of f(x). Use synthetics method or long division method to divide the function by (x+9).

$f(x)=(x+9)(x^2-11x-12)=0$

$f(x)=(x+9)(x^2-12x+x-12)=0$

$f(x)=(x+9)(x(x-12)+(x-12))=0$

$f(x)=(x+9)(x-12)(x+1)=0$

Use zero product property and quote each factor equal to 0.

$x=-9,-1,12$

Therefore zeros of the given function are -9,-1 and 12.

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