The profit of a football club after a takeover is modeled by p(t)=t^3-14t^2+20t+120,where t is the number of years after the take over, in which years was the club making a loss ?

Answer:

[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]

Step-by-step explanation:

equation of line formula:

[tex]y = mx + c[/tex]

m = slope

c = y-intercept

1) find m

slope formula:

[tex]m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} [/tex]

take 2 coordinates from the given graph and substitute the values into the slope formula

i) (-1,0)

[tex]x _{1} = - 1[/tex]

[tex]y_{1} = 0[/tex]

ii) (3,2)

[tex]x_{2} = 3[/tex]

[tex]y_{2} = 2[/tex]

substitute the values into the slope formula

[tex]m = \frac{2 - 0}{3 - ( - 1)} [/tex]

[tex]m = \frac{2}{4} [/tex]

[tex]m = \frac{1}{2} [/tex]

2) find the half equation of the line by substituting the value of m into the equation of line formula

[tex]y = \frac{1}{2} x + c[/tex]

3) find c by substituting either coordinate into the half equation

(3,2)

x = 3

y = 2

[tex]2 = \frac{1}{2} (3) + c[/tex]

[tex]2 = \frac{3}{2} + c[/tex]

[tex]2 - \frac{3}{2} = c[/tex]

[tex] \frac{1}{2} = c [/tex]

[tex]c = \frac{1}{2} [/tex]

4) find equation of line by substituting the value of c into the half equation

[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]

Answer:

y= 11 + 1.50x. (y is the price, x is number of toppings)

Step-by-step explanation:

Answer:

C. (x+9)(x-7)

Step-by-step explanation:

(x*x)=x^2

(9*x)=9x

(-7*x)= -7x

(9*-7)= -63

x^2+9x-7x-63 = x^2+2x-63

Answer:

637, 245

Step-by-step explanation:

Speed is the rate of change in the position of an object. The distance between the two snakes after 10 mins is 15 inches.

We know that sped, distance, and time all are in a relationship to each other. this relationship can be given as,

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Given to us

The relative speed between them, as they are moving in the same direction, therefore,

Relative speed = (26-24.5) = 1.5 inches per minute

[tex]\text{Distance between them after 3 mins}= \rm speed \times \rm time[/tex]

                                                        [tex]= 1.5 \times 3\ mins\\= 4.5\ inches[/tex]

Thus, the distance between the two snakes after 3 mins is 4.5 inches.

The relative speed between them, as they are moving in the same direction, therefore,

Relative speed = (26-24.5) = 1.5 inches per minute

[tex]\text{Distance between them after 10 mins}= \rm speed \times \rm time[/tex]

                                                          [tex]= 1.5 \times 10\ mins\\= 15\ inches[/tex]

Thus, the distance between the two snakes after 10 mins is 15 inches.

Learn more about Speed, distance, and Time:

https://brainly.com/question/15100898

Answer: C

Step-by-step explanation: The graph shows "Height" and "Seconds" not only the height, meaning its "the number of seconds it takes the ball to reach its maximum height"

Answer:

C

Step-by-step explanation:

The number of seconds it takes the ball..

Answer:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Exact Form: x  =  34 /3

Decimal Form:  x  =  11. ¯  3

Mixed Number Form:  x  = 11  1 /3

Step-by-step explanation:

hope this helps!

Answer:

9 is the correct answer all the best

Step-by-step explanation:

(x + 0.5)/6 = 19/12

2(x + 0.5) = 19 (multiply 12 on both sides)

x + 0.5 = 9.5 (divide 2 on both sides)

x = 9 (subtract 0.5 on both sides)

The answer is 9.

Answer:

3:1

8:5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

First, find the slope by using change in y divided by change in x.

Change in y = 5 - 2 = 3

Change in x = 2 - 1 = 1

This means that the slope is 3/1 = 3.

Then, you put it in the point-slope form so:

(y - 2) = 3(x - 1)

Answer:

( x , y ) = ( -1,1/2)

Step-by-step explanation:

Solve the equation for X

[tex]\left \{ {{x=-5/3+4/3y} \atop {5x+8y=-1}} \right.[/tex]

Substitute the given value of x into the equation 5x + 8y = -1

5(-5/3+4/3y)+8y=-1

Solve the equation for Y

y=-1/2

Substitute the given value of y into the equation x = -5 / 3 + 4 / 3y

x=-5/3+4/3×1/2

Solve the equation for X

x=-1

The system solution is the computer pair

(x,y)=(-1,1/2)

Check if the ordered pair given to the solution of the system of equations

[tex]\left \{ {{3*(-1)-4*1/2=-5} \atop {5*(-1)+8*1/2=-1}} \right.[/tex]

Simplify the equations

[tex]\left \{ {{-5=-5} \atop {-1=-1}} \right.[/tex]

The ordered pair is the solution of the system of equations, since both equations are true

(x,y)=(-1,1/2)

Answer: Its b

Step-by-step explanation:my teacher told me

Answer:b

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

a. Jack's monthly periodic rate = 1%

b. Jill's monthly periodic rate = 1.75%

c. Amount paid more by Jill than Jack = $5.25

Step-by-step explanation:

a. Jack was approved for a card with an APR of 12%. What was his monthly periodic rate?

Jack's monthly periodic rate = Jack's annual percentage rate (APR) / Number of months in a year = 12% / 12 = 1%

b. Jill was approved for a card with an APR of 21%. What was her monthly periodic rate?

Jill's monthly periodic rate = Jill's APR / Number of months in a year = 21% / 12 = 1.75%

c. If each of them had an average daily balance of $700 and had to pay a finance charge, how much MORE will Jill pay than Jack?

Jack's finance charge = Jack's monthly periodic rate * Average daily balance = 1% * $700 = $7

Jill's finance charge = Jill's monthly periodic rate * Average daily balance = 1.75% * $700 = $12.25

Amount paid more by Jill than Jack = Jill's finance charge - Jack's finance charge = $12.25 - $7 = $5.25

Answer:

A. 39%

Step-by-step explanation:

(125-90)/(90)=(35)/(90)=0.3889 or 39%

To find the percent increase, we need to divide the amount of change by the original amount.

Answer:

attached

Step-by-step explanation:

draw line pass (-12,0) and (0,3), solution is the shaded part

Answer:

18.10

Step-by-step explanation:

6x2.40= $14.40 + $3.70= 18.10

Answer:

18.1 dollars

Step-by-step explanation:

2.40x6+3.70

Answer: Half

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer:

s=4.75

Step-by-step explanation:

Just substitute the given variable values into the original equation

s=10•½+½•-2•½²

s=5+-1•¼

s=5+-¼

s=-4.75

Answer:

18

Step-by-step explanation:

Answer:

Step-by-step explanation:

a right angle contains 90° (always)

according to the question

x+3+x-1+x+1=90

3x3=90

x=87

x=29

Answer:

3

Step-by-step explanation:

Answer:

3 coefficients or answer c

Step-by-step explanation:

A coefficient is a holder of a vairable for example 5x in this equation 5 is the variable.

hope this helped brutherrr

Answer:

C 80in^2

Step-by-step explanation:

Multiply 12*3*2 for the area of both sides of the H to get 72

For the middle multiply 2*4 to get 8

72+8=80

Answer:

-6.26°C

Step-by-step explanation:

Given that:

Initial temperature = - 14.96ºC

Temperature change per hour = 2.9ºC

Hence, the temperature of the solution after 3 hours can be obtained thus :

Final temperature = (initial temperature + (temperature change per hour * Number of hours))

Temperature after 3 hours :

-14.96 + 2.9(3)

-14.96 + 8.7

= - 6.26

Answer:

The axis of symmetry is the horizontal shift. If I am not wrong, you might be learning about absolute value functions or parabolas.

The absolute value function: f(x)= a|x-h|+k

The parabola (Vertex form of a quadriceps function): f(x)= a(x-h)^2+k

The variable ‘h’ is the horizontal shift, in other words, the axis of symmetry