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puteri [66]
3 years ago
5

Which graph represents a function? 2 1 23 23 2 3 4 5

Mathematics
2 answers:
qwelly [4]3 years ago
8 0

Answer:

The fourth option

Step-by-step explanation:

Remember a function is a line that only gets intersected once, in this case it's not option one because the graph gets intersected twice. It's not option two because the lines also get intersected twice, it's not option three because it doesn't intersect the line at all which gives you the fourth option which intersects the line once making it a function.

Hope this helps.

Andrej [43]3 years ago
6 0

Answer:

D, the graph in the bottom row, on the right side

Step-by-step explanation:

A function will not have repeating x values, and the graph on the bottom right is the only that passes the vertical line test(meaning there are no repeating x values).

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This shows that Billy will have $12, 168.25 after 12 years

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The formula for calculating the compound interest is expressed as:

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Learn more on compound interest here: brainly.com/question/24924853

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2 years ago
Factor the cubic polynomial 6x3 – 11x2 – 12x 5. use the rational root theorem and synthetic division
pochemuha

The factorization of given cubic polynomial 6x³ - 11x² - 12x + 5 is:  

6x³ - 11x² - 12x + 5 = (x + 1)(x - \frac{5}{2})(x - \frac{1}{3})

For given question,

We have been given the cubic polynomial 6x³ - 11x² - 12x + 5

We need to factorize given cubic polynomial.

By the rational roots theorem, any rational zero of f(x) is expressible in the form ± \frac{p}{q} for integers p, q with p a divisor of the constant term 5 and q a divisor of the coefficient 6 of the leading term.

Factors of p = 5: 1, 5

Factors of q = 6: 1, 2, 3, 6

That means that the only possible rational zeros are:

±{ \frac{1}{1} ,\frac{1}{2} ,\frac{1}{3} ,\frac{1}{6} ,\frac{5}{1} ,\frac{5}{2} ,\frac{5}{3} ,\frac{5}{6} }

= ±{ 1 ,\frac{1}{2} ,\frac{1}{3} ,\frac{1}{6} ,5 ,\frac{5}{2} ,\frac{5}{3} ,\frac{5}{6} }

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6(1)³ - 11(1)² - 12(1) + 5 = -12

This means, x = 1 is not a zero of given cubic polynomial.

For x = -1,

6(-1)³ - 11(-1)² - 12(-1) + 5 = 0

This means, x = -1 is a zero of given cubic polynomial and (x + 1) is a factor.

To factorize given cubic polynomial we use synthetic division.

The synthetic division (6x³ - 11x² - 12x + 5) ÷ (x + 1) is as shown in following image.

⇒ 6x³ - 11x² - 12x + 5 = (x + 1)(6x² - 17x + 5)

The factors of above quadratic polynomial 6x² - 17x + 5 are:

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brainly.com/question/16594008

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