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2 years ago

Use the chart to multiply the binomial by the trinomial. What is the product? y3 + 27 y3 – 27 y3 – 6y2 + 27 y3 + 6y2 + 27.

1 answer:

katrin2010 [14]2 years ago

7 0

Answer
\((y + 3) (y^{2} - 3 y + 9) V)

Explanation

Explanation
Detail ste
Apply \(a^3\pm b^3=(a\pm b)(a^2\ mp ab+b^2)V : \((y + 3) (y^[2} - y \times 3 + 3^{2}) V
Multiply the monomials: \((y + 3) (y^{2} -3y + 3^{23) V
Calculate the power: \((y + 3) (y^{2} - 3 y + 9) V

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2 years ago

Does anybody know how to mark people as brainliest

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2 years ago

For how many integers $n$ does the inequality $x^2 + nx + 15 < 0$ have no real solutions $x$?.

Rom4ik [11]

By making the determinant equal to or smaller than zero, we will see that there are 15 values of n such that the inequality has no real solution.

<h3>Solving the inequality:</h3>

Here we have the inequality:

x^2 + n*x + 15 < 0

We want to see for which values of n we don't have real solutions.

Now, we can write the quadratic equation:

y = x^2 + nx + 15.

If the determinant of this quadratic equation is negative or 0, then we have a single root or we don't have roots, and because the leading coefficient is positive, that would mean that the function never becomes negative. Then for these cases, the inequality has no real solutions.

Then we must have:

n^2 - 4*15*1 ≤ 0

Now we can solve this for n.

n^2 ≤ 60

Then if n^2 is smaller than 60, we don't have real solutions, and we know that:

√60 = 7.75

Then we have:

-7.75 ≤ n ≤ 7.75

But n can only be an integer, so we can write:

-7 ≤ n ≤ 7

From -7 to 7 there are 15 integers, then there are 15 values of n such that the inequality has no real solutions.

If you want to learn more about inequalities, you can read:

brainly.com/question/11234618

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1 year ago

Day and night kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Bark time hotel charges $30 per day plu

Sonbull [250]

The system of equation that represents this situation is y = 20x + 15 for day and night kernel and y = 30x + 5 for bark time hotel.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the total charges for for boarding a pet in x days.

Day and night kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Hence:

y = 20x + 15

Bark time hotel charges $30 per day plus a one-time food fee of $5. Hence:

y = 30x + 5

The system of equation that represents this situation is y = 20x + 15 for day and night kernel and y = 30x + 5 for bark time hotel.

Find out more at: brainly.com/question/21835898

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2 years ago