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2 years ago

Find all zeros of x^4+x

Mathematics

1 answer:

Yuri [45]2 years ago

4 0

Answer:

-1 and 0

Step-by-step explanation:

X ^4+x = 0;

x*(x^3+1)=0;

x*[(x^3-x)+(x+1)]=0;

x*[x(x-1)(x+1)+(x+1)]=0;

x*(x+1)(x^2-x+1)=0;

Since x^2-x+1=0 has no intersection with the X-axis, there is no x value such that y=0

x=0 or -1

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Tickets for a concert cost $10 each if you order them online, but you must pay a service charge of $8 per order. The tickets are

jekas [21]

Answer:

The system of equation to model the situation are:

C = 10t + 8

C = 12t

Step-by-step explanation: Complete question ( Let C be the total cost and let t be the number of tickets).

Ordering tickets online cost $10 plus additional service charge of $8.

Therefore total cost,C = 10t + 8

Buying tickets at the door cost $12

Therefore, total cost,C = 12t

The system of equation to model the situation are:

C = 10t + 8

C = 12t

3 0

3 years ago

The area of a rectangle is 20 cm². The height is 4 cm longer than thrice the width.

Ludmilka [50]

Answer:

width = 2 cm

Step-by-step explanation:

are of rectangle is equal to length times width

x is the width, then length is 3x + 4

so x(3x + 4) = 20

3x^2 + 4x = 20

3x^2 + 4x - 20 = 0

The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a

so a = 3

b = 4

c = -20

substitute in the formula

x = [-4 +/-√(4^2 - 4(3)(-20))]/2(3)

x = [-4 +/- √(16 + 240)]/6

x = [-4 +/- 16]/6

x1 = (-4 + 16)/6 = 2

x2 = (-4 - 16)/6 = -20/6

since the width can't be a negative number, x2 is not the right answer

so x = 2

8 0

3 years ago

2. Dakota's hourly salary is $12. If Dakota

kupik [55]

I think the answer is $48

7 0

3 years ago

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Prove, using the second derivative, that the general quadratic y= ax^2+bx+c, is:

lozanna [386]

There are three things you have to know:

A function is convex when its second derivative $f''(x)>0$
A function is concave when it second derivative $f''(x)$
The derivative of a power, $x^n$ , is $nx^{n-1}$

So, the first derivative is

$y'=2ax+b$

and the second derivative is

$y''=2a$

This implies that the second derivative of a parabola is constant, and of course that 2 doesn't change the sign of $a$ .

3 0

3 years ago

80/91 + 5/9 plz help

rusak2 [61]

Answer:

1.43467643468

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers