MATHEMATICS HIGH SCHOOL

How many zeros does the function f(x) = 2x14 − 14x6 27x3 − 13x 12 have?

Answers

Answer 1

Answer:

Answer:

14 zeros

Step-by-step explanation:

For functions, the highest power is the amount of zeros. The highest power in this equation is 14 so it has 14 zeros.

Answer 2

Answer:

Answer:

The function f(x) has 14 zeros.

Step-by-step explanation:

We know that by Fundamental Theorem of Algebra :

Any polynomial equation of degree n with complex coefficient has exactly 'n' complex roots counting multiplicity.

Here we are given a polynomial function f(x) as:

$f(x)=2x^(14)-14x^6+27x^3-13x+12$

So, this polynomial function is of degree 14.

Hence, the given polynomial function f(x) has exactly 14 zeros.

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Answers

Answer:

Step-by-step explanation:

-3 (-4) ×
1 = –16
The answer babesss!!!!!

Answers

Answer:

x = -(4/3)

Step-by-step explanation:

$-3 (-4) *1 = -16\n\n\mathrm{Divide\:both\:sides\:by\:}-3\left(-4\right)*\:1\n\n(-3\left(-4\right)x*\:1)/(-3\left(-4\right)*\:1)=(-16)/(-3\left(-4\right)*\:1)\n\nSimplify\n\nx=-(4)/(3)$

If Sean knows the slope of the line is 4 in the line passes through the point (1, negative 8 princesses, which equation should he use to find the Y intercept and what is the y-intercept of the line

Answers

Answer:

Step-by-step explanation:

y + 8 = 4(x - 1)

y + 8 = 4x - 4

y = 4x - 12

A 3-column table with 4 rows. Column 1 is labeled Rectangle with entries A, B, C, D. Column 2 is labeled Width with entries 3 feet, 6 feet, 15 feet, 60 feet. Column 3 is labeled Length with entries 5 feet, 10 feet, 25 feet, 90 feet. Which rectangle is not an enlargement of rectangle A? A B C D

Answers

Answer:

The answer is d

Step-by-step explanation:

Answer:

it D

Step-by-step explanation:

hope it helps

A line in the Cartesian plane passes through the points (–2, 4) and (2, –1). What are the rise and the run of the line

Answers

Rise (-1) - 4 = -5
Run 2 - (-2) = 4

Answer:

The rise is -5, the run is 4.

Yis directly proportional to the square of xy=96 when x = 4

Find a formula for y in terms of x

Answers

Answer:

$y=6x^2$

Step-by-step explanation:

y being directly proportional to the square of x means that the ratio between the two will always be equal to some constant (let's call it k). In equation form, we'd say:

$(y)/(x^2)=k$

We're told that y = 96 when x = 4, so we can plug those values in to find k:

$(96)/(4^2)=(96)/(16)=6=k$

Our more general equation is now

$(y)/(x^2)=6$

If we want to put y in terms of x, we need to get the y by itself on one side of the equation, which we can do here by multiplying both sides by x², giving us

$y=6x^2$

Final answer:

The question is about finding the equation given that y is directly proportional to the square of x. Based on the values in the question, the constant of proportionality 'k' is calculated as 6. Hence, the formula for y in terms of x is y = 6 * x^2.

Explanation:

When we say, y is directly proportional to the square of x, it simply means there is a constant constant of proportionality 'k', such that y = k * x2. Given in the problem, when x = 4, y = 96, we can substitute these values into the equation to solve for 'k'. This results in 96 = k * (42) which simplifies to 96 = 16k, and solving this gives us k = 6. Therefore, the formula for y in terms of x is y = 6 * x2.

Learn more about Proportional relationships here:

brainly.com/question/29765554

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