Laura drove 255 miles in 5 hours.at the same rate, how many miles would she drive in 8 hours

The polynomial function has zeroes as given by x=0

In general, given zeroes of a polynomial function, a, b, c, and d, we can write the function as the multiplication of the factors

(x-a), (x-b), (x- c), and (x-d) then the degrees are 4

simply:

f(x)=(x-a) (x-b) (x- c) (x-d)

In this case, we can show that each of a, b, c, and d are zeroes of the function:

f(a)=(a-a) (a-b) (a-c) (a-d)

     = (0) (a-b) (a-c) (a-d)

     =0

f(b)=(b-a) (b-b) (b-c) (b-d)

      =(b-a) (0) (b-c) (b-d)  

      =0

f(c)=(c-a) (c-b) (c-c) (c-d)

     =(c-a) (c-b) (0) (c-d)

     =0

f(d)=(d-a) (d-b) (d-c) (d-d)

     =(d-a) (d-b) (d-c) (0)

     =0

since the value of the function at x=a, x=b, c, and d are equal to 0, then the function

f(x)=(x-a) (x-b) (x- c) (x-d) has zeroes at a, b, c and d

with the generalized form, we can substitute for the given zeroes,

x=-5, x=-2,0and 5 where a=-5, b=-2, c=0 and x=5

f(x)=(x-(-5)) (x-(-2)) (x-0) (x-5)

simplifying gives:

f(x)=(x+5) (x+2) x(x-5)

from here, we can put it in standard polynomial form by foiling the right side:

f(x)=x^3+2x^2-25x-50

To double-check the answer, just plug in the given zeroes, and ensure the value of the function at those points is equal to 0.

f (-5) =x^3+2x^2-25x-50

       =(-5)^3+2(-5)^2-2(-5)-50

f (-5) =0

f (-2) =(-2)^3+2(-2)^2-2(-2)-50

f (-2) =0

f (0) =0

f (5) =(5)^3+2(5)^2-2(5)-50

    =0

Hence, the function has zeroes as given by x=0.

To learn more about polynomial function, visit

brainly.com/question/19507085

#SPJ9

Answer:

3×6=

68

56

46

78

56

87

986786

Answer:

x ≈ 14.7

Step-by-step explanation:

use pythagorean therorem

a^2 + b^2 = c^2

c is hypotenuse and we know the hypotenuse is 21

a^2 + b^2 = c^2

x^2 + 15^2 = 21^2

x^2 + 225 = 441

x^2 = 216

x = √216

x ≈ 14.7

The airplane that descends at a rate of 2,700 feet per minute, after 3 1/2 minutes it will be at 9450 ft

The formula and procedure we will use to solve this problem is:

v= x/t

Where:

Information about the problem:

Converting the mixed fraction to a fraction, we get:

3 1/2 =

[(3*2) + 1]/2 =

(6+1) / 2 =

7/2

3 1/2 min is equivalent to 7/2

Applying the velocity and isolating the distance we have:

x= v*t

x = 2700 ft/min * 7/2 min

x = 9450 ft

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

Learn more about velocity at: brainly.com/question/3004254

#SPJ4

Answer: 3

Step-by-step explanation: 9^1/2 = 3

Answer:

3

Step-by-step explanation:

using the rule of exponents/ radicals

[tex]a^{\frac{1}{2} }[/tex] = [tex]\sqrt{a}[/tex] , then

[tex]9^{\frac{1}{2} }[/tex] = [tex]\sqrt{9}[/tex] = 3

Step-by-step explanation:

There is no question here

Answer: Help with what? You forgot to link your question

Step-by-step explanation:

Answer:

( 4 x 8) x (2 x 5)

32 x 10

320

Answer:

1 is greater than x

Step-by-step explanation:

4x < 0

x<0-4

x< -4

x={ -5,-6,-7,-8,-9,-10,.............}

so {-5,-6,-7,-8,-9,-10,-.............} are lesser than 1

hence 1 >x 0r 1 is greater than x

Answer:

b = 12

Step-by-step explanation:

subtract eight from both sides to leave the b variable on the left

b/2 = 14 - 8

b/2 = 6

multiply by 2 on both sides to leave b by itself

b = 6 * 2

b = 12

Answer:

12

Step-by-step explanation:

8 + b/2 = 14

b/2 = 14 -8

      = 6

b = 6 x 2

  = 12

Therefore b is 12. Hope this helps you and pls mark me as brainliest <3

Answer:

A

Step-by-step explanation:

Answer:

1222222222

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

1/5 * 35 = 7

7*3 = 21

Answer:

15

Step-by-step explanation:

Here, given the diagonals of the Rhombus, we want to get the length of one side of the Rhombus

We proceed to use the formula below;

d1 = √(4a^2-d2^2

Where d1 represents the length of one diagonal

a is the side of the Rhombus

d2 is the length of the second diagonal

Thus, mathematically;

d2^2 = 4a^2 - d1^2

4a^2 = d2^2 + d1^2

4a^2 = 18^2 + 24^2

4a^2 = 900

a^2 = 900/4

a^2 = 225

a = √225

a = 15

Answer:

D, I think, pls don't report if im wrong

Step-by-step explanation:

Answer:

the answer would be the third option. its the only thing that has 3 terms

Step-by-step explanation:

3+x+9

Answer:

3+x+9 is the sum of three terms

The resulting product of the expression is 12.017

Fractions are written as a ratio of two integers

Given the following expression

-2 1/3 x -5.15

Convert to improper fraction to have:

-7/3 * -515/100

3605/300

12.017

Hence the resulting product of the expression is 12.017

Learn more on product of expression here: https://brainly.com/question/4344214

#SPJ1

Answer:

y = 6x + 3

Step-by-step explanation:

Equation of the line

------------------------------------------------------

The equation of the line in slope-intercept form is:

y = mx + b

Being m the slope and b the y-intercept.

Where m is the slope and (h,k) is a point through which the line passes.

We are given the y-intercept as b=3 m=6.

Thus, the equation of the line is:

y = 6x + 3

Answer:

(- 5, - 3 )

Step-by-step explanation:

Given the 2 equations

- 3x + 10y = - 15 → (1)

5x - 7y = - 4 → (2)

Multiplying (1) by 5 and (2) by 3 and adding the result, eliminates the x- term.

- 15x + 50y = - 75 → (3)

15x - 21y = - 12 → (4)

Add (3) and (4) term by term to eliminate x, that is

29y = - 87 ( divide both sides by 29 )

y = - 3

Substitute y = - 3 into either of the 2 equations and solve for x

Substituting into (1)

- 3x + 10(- 3) = - 15

- 3x - 30 = - 15 ( add 30 to both sides )

- 3x = 15 ( divide both sides by - 3 )

x = - 5

solution is (- 5, - 3 )

Answer:62 degrees

Step-by-step explanation:  BAC and DAF  are equivalent

Step-by-step explanation:

where is the line? pls share it

Answer:

age to for the pooiiinntss

Answer:

.................................................................................................

Answer:

12 red shirts

8 green shirts

4 blue shirts

Step-by-step explanation:

1/2 of the 24 people are wearing red shirts

Of means multiplication, so...

1/2 * 24 = 24/2 = 12, and do the same for the rest!

Answer:1/2 of 24= 24/2=12

             1/3 of 24= 24/3=8

             12+8=20

             24-20=4

Step-by-step explanation:

It is wrong. Because Verania has a comparative advantage in washing dishes, she should wash dishes, and Josimar should vacuum.

Having an absolute advantage in both things does not mean that Verania has a Comparative advantage in both as well.

They should find out which activity they both have a comparative advantage in and focus on that. The activity that costs the least opportunity cost is the one they have a comparative advantage.

Verania

Opportunity cost of vacuuming = 2 / 1 = 2 hours of washing dishes

Opportunity cost of washing = 1/2 = 0.5 hours of vacuuming

Josimar

The opportunity cost of vacuuming = 3/2 = 1.5 hours of washing dishes

Opportunity cost of washing = 2/3 = 0.66 hours of vacuuming

Verania has a comparative advantage in washing dishes while Josimar has a comparative advantage in vacuuming.

For more information on calculating cost click on the link below:

https://brainly.com/question/2513267

#SPJ4

Answer: [tex]\sqrt{170}[/tex]

Step-by-step explanation:

Distance formula: a^2+b^2=c^2 where c is the distance between two points

(-6-5)^2 + (4-(-3))^2=c^2

(-(6+5))^2 + (4+3)^2=c^2

(-11)^2 + 7^2=c^2

121 + 49=c^2

c^2=170

c=[tex]\sqrt{170}[/tex]   ==> distance between A and B

Answer:

A. 80-5x

Step-by-step explanation:

Let the number of rides be represented by = x

Thomas bought 80 tickets for rides at an amusement park. Each ride cost five tickets, Thomas has been on x right so far.

The number of rides Thomas has been on so far= 5 × x = 5x

The expressions to show the number of tickets that Thomas has left is written as:

80 - 5x

Option A is the correct option.

Answer: clown and watch me and watch all my videos

Step-by-step explanation:

Answer: The answer is 6x–9, please mark me as brainliest and have a wonderful weekend. :D

Step-by-step explanation: