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3 years ago

Determine the total number of roots of each polynomial function. f (x) = 3x6 + 2x5 + x4 - 2x3

Mathematics

2 answers:

Oxana [17]3 years ago

8 0

Answer:

6 roots

Step-by-step explanation:

we know that

The number of roots is determined by the degree of the polynomial. They may be real or complex.

In this problem we have

$f(x)=3x^{6}+2x^5+x^4-2x^3$

The degree refers to the highest exponent of the polynomial

Since this is a 6th degree polynomial, it will have 6 roots

Dmitry_Shevchenko [17]3 years ago

7 0

Answer: 6

Step-by-step explanation:

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Aaron buys 3 ties for $19.95 each, a belt for $23.50, and a pair of boots for $124.95. The sales tax in his city is 5%, To the n

Rina8888 [55]

(3x19.95+23.5+124.95)1.05=
59.85+23.5+124.95 =208.3
208.3×1.05=218.715

4 0

2 years ago

What is the average (arithmetic mean) of the first 90 measurements in a certain list of 92 measurements? (1) the average of the

marishachu [46]

The sum of all the measurements is just the average times the number.

$\bar x = \frac{1}{n} \sum_{i=1}^n x_i$

$\sum_{i=1}^n x_i = n \bar x$

So if the average of all 92 is 7 the sum of those is $92 \times 7$

The average of the last two is 7.2 so their sum is $2 \times 7.2$

That means the sum of the first 90 is $92 \times 7 - 2 \times 7.2$

so the average of the first 90 is

$\dfrac{92 \times 7 - 2 \times 7.2}{90} = 6.99556$ cm

7 0

3 years ago

A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of m

madam [21]

Answer:

Step-by-step explanation:

17 x 0.75 =12.75

12.75 + 1.25= 14

3 0

3 years ago

Use trigonometric substitution to verify that

photoshop1234 [79]

T = 0
=> Q = 0
t = x
=> Q = arcsin(x/a)
rest it just simple integration of trigonometric function

8 0

3 years ago

Determine the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1) by following the steps below.

GaryK [48]

Answer:

Radius length: √5

Standard Form (Equation): (x + 4)^2 + y^2 = 5

Step-by-step explanation:

First we will determine the radius;

Center: (-4, 0)

Point on Circumference: (-2, 1)

d = √(-2 - (-4))^2 + (1 - 0)^2 = √(2)^2 + (1)^2

= √4 + 1 = √5

Therefore the radius is of length √5

Now the equation of a circle is in the form ((x - h)^2 + (y - k)^2) = r^2. The center is in the form (h,k) and r is the radius. Given this our equation would be (x - (-4))^2 + (y - 0)^2 = (√5)^2, or [simplified] (x + 4)^2 + y^2 = 5.

6 0

2 years ago

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