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lesya [120]
3 years ago
8

Polynomial Functions help

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0
The key piece of information for these questions is the Fundamental Theorem of Algebra, which states that a degree n polynomial has n complex roots. A complex root can be either real or imaginary. 

First question, regarding the polynomial y = x^3 - 3x^2 + 16x - 48:
We know there is one real root, the x-intercept.
Since it's a third degree polynomial, there are three complex roots in total. 
Therefore, there is one real root and two imaginary roots.
Answer is B

Second question:
You probably can guess the answer, now that you know the Fundamental Theorem of Alegebra:
There are 3 real zeros, each with multiplicity one, meaning each root only happens once. It's a 5th degree polynomial, so there are a total of 5 roots, implying 2 imaginary roots. 

Answer is C) 3 real and 2 imaginary zeroes.

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Find the ratio (red to blue) of the perimeters of the similar triangles. Write your answer in simplest form.
12345 [234]

Answer:

I think the answer is 9/2

8 0
3 years ago
Write the sum as a mixed number with the fractional part less than 1.<br> 7 4/6 + 4 3/6
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11  7/12

Step-by-step explanation:

Just add lol i know this isn't real explanation

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2 years ago
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For the figure below, circle the statement that must be true
Sunny_sXe [5.5K]

Answer:

Therefore the true statement is option b . SK > YU

Step-by-step explanation:

Given:

SA ≅ OY

AK ≅ OU

∠A = 90°

∠O = 70°

To Prove:

SK > YU

Proof:

We have,

Hinge theorem:

States that ''if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle''.

In Δ SAK and Δ YOU

SA ≅ OY

AK ≅ OU

∠ A is larger than ∠O

i.e 90 > 70

Side opposite to 90  > Side opposite to 70

∴ SK > YU ..............Proved

Therefore the true statement is option b . SK > YU

4 0
3 years ago
Calculus, Limits and Continuity<br><br> Can someone please answer/explain this question? Thank you.
lana [24]

9514 1404 393

Answer:

  (A) -4 and -2

Step-by-step explanation:

The constant in the function tells you f(0) = 5.

You know that the positive leading coefficient means the value of f(x) will be negative for x-values smaller than some number. The offered answer choices indicate the value x = -4 is a lower bound on the value of c. So, -4 < c < 0, for sure.

To further refine the interval, you would need to know f(-2) and/or f(-1).

  f(-2) = (-2)³ -2(-2) +5 = -8 +4 +5 = 1

Then -4 < c < -2.

_____

I find a graphing calculator to be very helpful locating zeros of polynomials.

6 0
3 years ago
Suppose lifetime of certain type of car batteries are
masya89 [10]

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

The brand (M) will become more reliable as the standard deviation of an (M) brand will be much lower than the standard deviation of (G) brand.

such as four years,

Calculating the z score for G brand= \frac{(4-3)}{1} = \frac{1}{1} = 1

Calculating the z score for M brand= \frac{(4-3)}{(\frac{1}{3})} = \frac{(1)}{(\frac{1}{3})} = 1 \times \frac{3}{1}= 3.

Because the z mark of the (G) brand is less, it is much more probable that the (G) Brand could last four years. It is because the variability of the (G) brand is very high, which allows lasting longer by expanding its expansion.

7 0
3 years ago
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