Answer:
It depends on how you write it.
- 130 8/9 -- one 8
- 130.88888888888... -- an infinite number of 8s
Step-by-step explanation:
The quotient 5890/45 has a value of 130 8/9. The fraction 8/9 is the repeating decimal 0.888888..., which has as many 8s as you want to write. It can be abbreviated to have just one 8 when written like this:
where the overbar indicates the digit repeats indefinitely.
The quotient can be written with as many 8s as you like.
Probably the first one, as the usual method for that integral is to factorize the denominator and decompose the integrand into partial fractions.
Meanwhile, the other three can be carried out quite easily with different substitutions. For instance, the first can be done with
, the second with
, and the third with
.
The function would be f(x) = 40x + 4.
It's plus 4 because it starts counting after the 4 kilometers already happened.
It's 40x because that's the rate of change (km/h) and the x represents the hours.
f(x) basically means y, but in functions you use f(x).
Hope this helps :)
Answer:
see explanation
Step-by-step explanation:
Factor the numerators/ denominators where possible
x² + 7x + 10 = (x+ 2)(x + 5)
x² - 3x - 18 = (x - 6)(x + 3)
x² + x - 2 = (x + 2)(x - 1)
Hence
= 
× 
Cancel the factors (x + 2) and (x + 3) on numerator/denominator
= 
← in simplest form
The denominator of the product cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.
solve x - 1 = 0 ⇒ x = 1 ← restricted value
√(x - 2) = √x + 3
squaring both sides
x - 2 = x + 9 + 6√x
6√x = -11
x = (-11/6)^2 = 121/36
if we plug this into the orgiinal equation it does not fit so the answer i s No Solution
