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4 years ago

What is the factorization of the polynomial below? x^3-4x^2+45x

Mathematics

2 answers:

Fantom [35]4 years ago

8 0

Hope This Helps You!(

Mashutka [201]4 years ago

3 0

The method of factorization is used to find the roots of a given polynomial. Roots are the solutions of the function. Graphically, these roots are where the curve passes the x-axis. The first step to do is to find the common factor of the equation. That would be x. So you place it outside of the parenthesis.

x³-4x²+45x = x(x² - 4x + 45)

If you solve the quadratic equation inside the parenthesis using the quadratic formula, the roots are imaginary. Therefore, the quadratic equation is already a prime polynomial.

The final answer is x(x² - 4x + 45).

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-25 Points-

sashaice [31]

Answer:

(x+4)^2+(y+2)^2=5

(x-(-4))^2+(y-(-2))^2=5

Step-by-step explanation:

Format for an equation of a circle: (x-h)^2+(y-k)^2=r^2

Center: (1/2*(-6-2),1/2*(-3-1))=(-4,-2)

Radius: sqrt(20)/2 or sqrt(5)

So, it's

(x+4)^2+(y+2)^2=5

(x-(-4))^2+(y-(-2))^2=5

7 0

3 years ago

What is the surface area in square millimeters of the triangular pyramid?

alukav5142 [94]

Answer:

31 mm² is the surface area.

Step-by-step explanation:

We know that:

Surface area of triangle = 3(1/2 x 4 x 4) + (1/2 x 4 x 3.5)

Work:

3(1/2 x 4 x 4) + (1/2 x 4 x 3.5) mm²
=> 3(2 x 4) + (2 x 3.5) mm²
=> 24 + 7 mm²
=> 31 mm²

Hence, 31 mm² is the surface area.

Hoped this helped.

$BrainiacUser1357$

4 0

2 years ago

1. What is a real world example when you would have to find the circumference of something? Explain.

nikitadnepr [17]

A ferris wheel
A construction worker whose making a ferris wheel would need to know and measure the circumference.
A theme park manger would need to find the circumference to know if the ferris wheel is too big to go into the park.
Hope that helps!!

4 0

3 years ago

What is the slope of this line

Temka [501]

Answer:

4/5

Step-by-step explanation:

use rise over run up 4 over 5!!!

8 0

3 years ago

A survey of several 9 to 11 year olds recorded the following amounts spent on a trip to the mall: $23.71,$17.79,$29.87,$18.78,$2

wolverine [178]

Answer:

(16.904 ; 30.660)

Step-by-step explanation:

Given the data :

X = 23.71,17.79,29.87,18.78,28.76

Sample size = 5

Mean = (23.71+17.79+29.87+18.78,+28.76) / 5 = 23.782

Using a calculator, sample standard deviation :

Standard deviation, s = 5.54

Tcritical at α = 0.05, df = 5 - 1 = 4

Using tables ; Tcritical value = 2.7763

Confidence interval :

Mean ± Margin of Error

Margin of Error (MOE) = Tcritical * SE

Margin of Error = Tcritical * s/sqrt (n)

MOE = 2.7763 * 5.54/Sqrt(5) = 6.878

Confidence interval : 23.782 ± 6.878

Lower boundary : 23.782 - 6.878 = 16.904

Upper boundary = 23.782 + 6.878 = 30.66

(16.904 ; 30.660)

7 0

3 years ago