What are the zeros of (fx) =x^2-10x+25

Zero of the function f(x) is x = 5

Step-by-step explanation:

Given function is f(x) = x² - 10x + 25

For zeros or x-intercepts of this function,

Put f(x) = 0

x²- 10x + 25 = 0

x² - 2(5)x + 5² = 0

(x - 5)² = 0 [Since, a² - 2ab + b² = (a - b)²]

x = 5

Therefore, x = 5 will be the zero of the given function.

13. $25/month

14. 36 and 37

Step-by-step explanation:

Let a = monthly rate ($/month)

t = time (months)

k = installation cost

The equation for the cost of the internet service C is

C = at + k

Since C = $685. t = 24 months (2 years) and k = $85, we can solve for a:

at = C - k

or

a = (C - k)/t

= ($685 - $85)/(24 months)

= $25/month

14. Let n = the number

n + 1 = the number after n

Since the sum of two consecutive numbers is 73, we can write the equation as

n + (n + 1) = 73

which simplifies to

2n + 1 = 73

2n = 72

Solving for n, we find that

n = 36

so the other number is 36 + 1 = 37.