victor is going to send some flowers to his wife. Livingston florist charges $1 per rose, plus $39 for the vase. Gabes flowers, in contrast, charges $2 per rose and $28 for the case. if victor orders a bouquet with a certain number of roses the cost will be the same with either flower shop. What would the total cost be? how many roses would there be?

The zeros of a function are the points where the function cross the x-axis.

One other zero of is 2 + 3i.

The zero of is given as:

The above number is a complex number.

If a complex number a + bi is the zero of a function f(x), then the conjugate a - bi is also the zero of f(x).

This means that, one other zero of is 2 + 3i.

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Answer:

One other zero is 2+3i

Step-by-step explanation:

If 2-3i is a zero and all the coefficients of the polynomial function is real, then the conjugate of 2-3i is also a zero.

The conjugate of (a+b) is (a-b).

The conjugate of (a-b) is (a+b).

The conjugate of (2-3i) is (2+3i) so 2+3i is also a zero.

Ok so we have two zeros 2-3i and 2+3i.

This means that (x-(2-3i)) and (x-(2+3i)) are factors of the given polynomial.

I'm going to find the product of these factors (x-(2-3i)) and (x-(2+3i)).

(x-(2-3i))(x-(2+3i))

Foil!

First: x(x)=x^2

Outer: x*-(2+3i)=-x(2+3i)

Inner:  -(2-3i)(x)=-x(2-3i)

Last:  (2-3i)(2+3i)=4-9i^2 (You can just do first and last when multiplying conjugates)

---------------------------------Add together:

x^2 + -x(2+3i) + -x(2-3i) + (4-9i^2)

Simplifying:

x^2-2x-3ix-2x+3ix+4+9  (since i^2=-1)

x^2-4x+13                     (since -3ix+3ix=0)

So x^2-4x+13 is a factor of the given polynomial.

I'm going to do long division to find another factor.

Hopefully we get a remainder of 0 because we are saying it is a factor of the given polynomial.

                x^2+1

              ---------------------------------------

x^2-4x+13|  x^4-4x^3+14x^2-4x+13                    

              -( x^4-4x^3+ 13x^2)

            ------------------------------------------

                                 x^2-4x+13

                               -(x^2-4x+13)

                               -----------------

                                    0

So the other factor is x^2+1.

To find the zeros of x^2+1, you set x^2+1 to 0 and solve for x.

So the zeros are i, -i , 2-3i , 2+3i

Final answer:

Matt's homeroom could have raised more money than Melissa's despite having a lower percentage if their fundraising goal was higher. For instance, Melissa's room could have raised 63% of $500 ($315), while Matt's room raised 48% of $800 ($384).

Explanation:

The situation in which Matt's homeroom raised more money than Melissa's, despite having a smaller percentage, is possible if the two homerooms have different fundraising goals.  Let's consider the following example:

• Melissa's homeroom has a fundraising goal of $500. They have raised 63% of it. So, they raised 0.63 x 500 = $315.
• Matt's homeroom, on the other hand, could have a higher fundraising goal, like $800. They have raised 48% of it. So, they raised 0.48 x 800 = $384.

In this scenario, although Matt's homeroom has a lower percentage of funds raised, they have collected more money than Melissa's homeroom because their initial fundraising goal was higher.

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