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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

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Convert number from scientific notation to standard notation 3.9×10^-3

tigry1 [53]

Answer:

.0039

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

The length of a rectangle is 6 feet and the width is 3 feet. Find the perimeter I

Anarel [89]

So for the perimeter, there will be 2 of each side. 3(2)+6(2)= 18.
The perimeter is 18 feet.

4 0

3 years ago

Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu

Alisiya [41]

Let $y=C_1x+C_2x^3=C_1y_1+C_2y_2$ . Then $y_1$ and $y_2$ are two fundamental, linearly independent solution that satisfy

$f(x,y_1,{y_1}',{y_1}'')=0$
$f(x,y_2,{y_2}',{y_2}'')=0$

Note that ${y_1}'=1$ , so that $x{y_1}'-y_1=0$ . Adding $y''$ doesn't change this, since ${y_1}''=0$ .

So if we suppose

$f(x,y,y',y'')=y''+xy'-y=0$

then substituting $y=y_2$ would give

$6x+x(3x^2)-x^3=6x+2x^3\neq0$

To make sure everything cancels out, multiply the second degree term by $-\dfrac{x^2}3$ , so that

$f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y$

Then if $y=y_1+y_2$ , we get

$-\dfrac{x^2}3(0+6x)+x(1+3x^2)-(x+x^3)=-2x^3+x+3x^3-x-x^3=0$

as desired. So one possible ODE would be

$-\dfrac{x^2}3y''+xy'-y=0\iff x^2y''-3xy'+3y=0$

(See "Euler-Cauchy equation" for more info)

6 0

3 years ago

Six times a number a number increased by three is negative twenty-one. Find the number and write the equation

salantis [7]

let number be x

6x+3= -21

6x=-24

x=-4

3 0

2 years ago

Marty's friend Tom makes and hourly wage of $15.00 per hour. Using that there are 40 hours in a standard work week, there are 52

Lorico [155]

Answer:

a. annual income = $31,200

b. Social Security tax = $1,934.40

c. Medicare = $452.40

Step-by-step explanation:

40 hours in a week

52 weeks in a year

Tom makes $15 / hour

In a year, the

a. annual income = 15*40*52 = 31200

b. Social Security tax = 31200 * 0.062 = 1934.40

c. Medicare = 31200 * 0.0145 = 452.40

3 0

2 years ago