The number of subscribers y to a website after t years is shown by the equation below.

Mathematics

2 answers:

fomenos3 years ago

8 0

think of 1.75 as 1+0.75

That's in the form 1+r where r is the growth rate.

So r = 0.75 = 75% is a growth rate

Nezavi [6.7K]3 years ago

5 0

Answer:-It increased by 75% every year.

Explanation:-

Given: The number of subscribers y to a website after t years is shown by the equation , $y=50(1.75)^t$ where 50 is the initial number of subscribers to a website and t is the time period is years.

The above equation can be rewrite as

$y=50(1+0.75)^t$

which is equivalent to the exponential growth function with growth rate r=0.75=75%

⇒ The number of subscribers to a website increased by 75% every year.

⇒ First option is correct.

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Find the factors of f(x) given that x = 5 is a zero.

77julia77 [94]

If x = 5 is a zero of the given polynomial, then,
(x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]
Now, divide the polynomial with (x - 5) using long division method. (See the picture)
We get (x^2 - x - 6) as the quotient.
Now, factorise the above polynomial:
(x^2 - x - 6)
= (x^2 - 3x + 2x - 6)
= x(x - 3) + 2(x - 3)
= (x - 3)(x + 2)
Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)

Answer:

B.(x − 5)(x − 3)(x + 2)

Hope you could get an idea from here.

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