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2 years ago

We want to find the zeros of this polynomial:

Mathematics

1 answer:

slava [35]2 years ago

7 0

Answer:

x=-3 x=-1 x=2 x=-2

Step-by-step explanation:

p(x) = (x^2 + 4x + 3)(x^2 – 4)

Set this equal to zero to find the x intercepts

0 = (x^2 + 4x + 3)(x^2 – 4)

Using the zero product property

(x^2 + 4x + 3) =0 (x^2 – 4) =0

Factor

(x+3)(x+1) =0 (x-2) (x+2)=0

Using the zero product property

x+3 =0 x+1 =0 x-2 =0 x+2 =0

x=-3 x=-1 x=2 x=-2

You might be interested in

Revenue from Monorail Service, Las Vegas In 2005 the Las Vegas monorail charged $3 per ride and had an average ridership of abou

Karolina [17]

Answer:

A)The required linear demand equation ( q ) = -4500p + 41500

B) $4.61

$95680.55

C) No it would not have been possible by charging a suitable price

Step-by-step explanation:

<u>A) find the linear demand equation</u>

given two points ; ( 3, 28000 ) and ( 5, 19000 )

slope ( m ) = ( y2 - y1 ) / ( x2 - x1 )

= ( 19000 - 28000 ) / ( 5 - 3 ) = -4500

slope intercept is represented as ; y = mx + b

where y( 28000) = -4500(3) + b

hence b = 41500

hence ; y = -4500x + 41500

The required linear demand equation ( q ) = -4500p + 41500 ----- ( 1 )

p = price per ride

<u>B ) Determine the price the company should charge to maximize revenue from ridership and corresponding daily revenue</u>

Total revenue ( R ) = qp

= p ( -4500p + 41500 )

hence R = -4500p^2 + 41500p ------ ( 2 )

To determine the price that should maximize revenue from ridership we will equate R = -4500p^2 + 41500p to a quadratic equation R(p) = ap^2 + bp + c

where a = -4500 , b = 41500 , c = 0

hence p = $-\frac{b}{2a}$ = $- \frac{41500}{2(-4500)}$ = 4.61

$4.61 is the price the company should charge to maximize revenue from ridership

corresponding daily revenue = R = -4500p^2 + 41500 p

where p = $4.61

hence R = -4500(4.61 )^2 + 41500(4.61) = $95680.55

C) No it would not have been possible by charging a suitable price

5 0

2 years ago

The average grain of salt is 0.0003 meters wide. Rhinovirus, which causes the common cold, is 0.00000003 meters wide. How many t

algol [13]

Answer:

$1\times 10^4\ times$

Step-by-step explanation:

Given:

Width of average grain of salt is, $w=0.0003\ m$

Width of Rhinovirus is, $W=0.00000003\ m$

Now, expressing each width in scientific notation form, we get:

$w=0.0003\ m = 3\times 10^{-4}\ m\\\\W=0.00000003\ m = 3\times 10^{-8}\ m$

Now, in order to get how many times 'W' is wider than 'w', we divide the two widths. This gives,

$\frac{W}{w}=\frac{3\times 10^{-4}\ m}{3\times 10^{-8}\ m}\\\\\frac{W}{w}=1\times 10^{-4-(-8)}=1\times 10^{-4+8}=1\times 10^4\\\\\therefore W=1\times 10^4\times w$

Therefore, the grain of salt is $1\times 10^4\ times$ wider than Rhinovirus.

5 0

3 years ago

How do you solve that?

Aleks [24]

Put it in the form

ax^2 + bx + c = 0

use the quadratic formula

x = [ -b + sqrt( b^2 - 4 ac ) ] / 2a

x = [ -b - sqrt( b^2 - 4 ac ) ] / 2a

7v^2 - 7v - 22 = 0

a = 7
b = -7
c = -22

v = [ 7 + sqrt ( 49 - 4 * 7 ( -22) ] / 2 * 7 = 2.34

v = [ 7 - sqrt ( 49 - 4 * 7 ( -22) ] / 2 * 7 = -1.34

7 0

3 years ago

Read 2 more answers

Will give brainlist if you can help!

kkurt [141]

Answer: 12:5

Step-by-step explanation:

4 0

3 years ago

An automobile manufacturer has given its van a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contracted t

Fynjy0 [20]

Answer:

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

Step-by-step explanation:

Information given

$\bar X=31.1$ represent the sample mean