All categories

3 years ago

What polynomial has roots of −5, −4, and 1

Mathematics

1 answer:

vredina [299]3 years ago

8 0

Answer:

Step-by-step explanation:

The question continues with these options:

a. x3 − 8x2 − 11x + 20

b. x3 − x2 + 22x + 40

c. x3 + x2 − 22x − 40

d. x3 + 8x2 + 11x − 20

A cubic in equation (x+5)(x+4)(x-1) or on a graph that crosses at -5, -4, and 1. Multiply the factors out to find the equation.

$(x+5)(x+4) = x^2+5x+4x+20=x^2+9x+20$

$(x-1)(x^2+9x+20)\\x^3-x^2+9x^2-9x+20x-20\\x^3+8x^2+11x-20$

You might be interested in

A cone has a radius of 5 ft and a height of 15 ft. It is empty and is being filled with water at a constant rate of 15 15 ft 3 f

kvasek [131]

Answer:

$\frac{dr}{dt}=0.11062ft/sec$

Step-by-step explanation:

From the question we are told that:

Radius $r=5ft$

Height $H=15ft$

Rate $R=15ft/3sec =5ft/s$

Surface Radius $R_{surf}=2.2ft$

Generally the equation for Volume is mathematically given by

$V=\frac{1}{3}\pi*r^2h$

Since radius to height ratio gives

$\frac{r}{h}=\frac{5}{15}$

$\frac{r}{h}=\frac{1}{3}$

$h=3r$

Therefore

$V=\frac{1}{3}\pi*r^2(3r)$

$V=\pi r^3$

Generally the equation for Change of Volume is mathematically given by

$\frac{dv}{dt}=\pi \frac{d}{dt}(r^3)$

$\frac{dv}{dt}=\pi 3*r^2 \frac{dr}{dt}$

$\frac{dv}{dt}=\pi 3*(2.2)^2 \frac{dr}{dt}$

$\frac{dr}{dt}=\frac{5}{45.62}$

$\frac{dr}{dt}=0.11062ft/sec$

3 0

3 years ago

Find two consecutive odd integers whose sum is 84.

lesya [120]

41 and 43 I hope this helps

6 0

3 years ago

Need help from a math wiz

leva [86]

I know the 3rd question the answer is rectangle

3 0

3 years ago

Read 2 more answers

Someone help please!!!

Vikentia [17]

90 degrees because you go straight down as if it was 1 angle

7 0

3 years ago

Need help, will give a lot of points to whomever answers quickly!

raketka [301]

Step-by-step explanation:

The first figure triangles are congruent by ASA axiom.

The second figure triangles are congruent by SSS axiom.

The third figure triangles are congruent by ASA axiom.

Hope it will help :)

4 0

3 years ago

Read 2 more answers