The Newtown Telephone Company advertises that if you use their 10-10 service, you will always pay only 9c per minute, no matter where you call within the country. Its major rival, Tryus Telephone Company, charges only 3c per minute, but you must pay a 36 c "connection fee" per call. Create a cost equation for each telephone company where y is the total cost for each phone call (in cents), and x is the number of minutes the phone call lasts. Write a system of equations.

y = 9x cents

y = (36 + 3x) cents

Step-by-step explanation:

Given that:

Newtown telephone company :

Fee per minute = 9c

Tyrus company :

Fee per minute = 3c

Connection fee = 36c

Cost equation :

y = total cost for each phone call:

x = minutes phone call last ;

Newton Company :

y = (fee per minute * minute phone call last)

y = 9 * x

y = 9x cents

Tyrus Company:

y = (connection fee + (fee per minute * minute phone call last))

y = (36 + (3 * x))

y = (36 + 3x) cents

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

a) at most means it can cost $12 or less

so the inequality sign would be ≤

you would then need to multiply the number of toppings by the 0.35 for each one and add it to the cost of the cheese pizza.

the equation would be 9.99 + 0.35x ≤ 12

b) using the above equation:

9.99 + 0.35x ≤ 12

subtract 9.99 from each side:

0.35x ≤2.01

divide both sides by 0.35:

x ≤ 2.01 / 0.35

x ≤5.74

at most you could have 5 toppings.

the 5 topping pizza would cost: 0.35 x 5 = 1.75 + 9.99 = $11.74