All categories

2 years ago

• Given the function, f(x) = x3 – 5x2 + 9x – 45, determine the number of roots and identify them.

1 answer:

6 0

x3 - 5x2 + 9x - 45 = 0
It is a polynomial of degree three, therefore, it has three roots.
For this case, what we can do is factorize to write the polynomial in an easier way and thus be able to find the roots.
Factoring we have:
(x - 5) (x ^ 2 + 9) = 0
x = 5
x = 3i
x = -3i
Answer:
three roots:
x = 5
x = 3i
x = -3i

You might be interested in

When the sum of an unknown number and twenty two is divided by the unknown number, the quotient is 12. What is the unknown numbe

Gnom [1K]

You would basically work backwards and do inverse operations

12
24*
__
288

288/24= 12

8 0

3 years ago

the diameters of Douglas firs grown at a Christmas tree farm are normally distributed with a mean of 4 inches and a standard dev

aksik [14]

Answer:

Proportion of the trees will have diameters between 2 and 6 inches = 0.8164

Step-by-step explanation:

Given -

Mean $(\nu )$ = 4

Standard deviation $(\sigma )$ = 1.5

Let X be the diameter of tree

proportion of the trees will have diameters between 2 and 6 inches =

$P(2< X< 6)$ = $P(\frac{2 - 4 }{1.5}< \frac{X - \nu }{\sigma}< \frac{6 - 4 }{1.5})$

= $P(\frac{-2 }{1.5}< Z< \frac{2 }{1.5})$ Put [ $Z = \frac{X - \nu }{\sigma}$ ]

= $P(-1.33< Z< 1.33)$

= $(Z< 1.33) - (Z< -1.33)$

= .9082 - .0918

= 0.8164

6 0

3 years ago

Suppose the system of linear equations has no solution. Which is NOT a possible value of the constant for the second equation?

Tom [10]

Answer:

A) 5

Step-by-step explanation:

The coefficients of the second equation are 1/3 of those of the first equation. If the constant of the second equation is also 1/3 of the constant of the first equation, then the equations are <em>dependent</em>, and will have an infinite number of solutions.

The constant must be something other than 1/3·15 = 5 to make the equations <em>inconsistent</em>, having no solutions.

4 0

2 years ago

The probability of spinning a 4 on a spinner is 0.125.If you spun 150 times approximately how many times would the spinner land

Ksivusya [100]

Answer:

Step-by-step explanation:

To calculate this, all we need to do is 150 * 0.125 ≈ 18.75 which rounds to 19. We round to the nearest integer because you can't land on the 4 18.75 times.

6 0

3 years ago

Read 2 more answers

Three of nine softball players play outfield.what fraction of the players play outfield? Write the answer as a reduced fraction

crimeas [40]

3/9 is the original fraction that play outfield
The reduced fraction is 1/3
3/9 = 1/3

5 0

3 years ago