Answer:
The probability that it is a vowel is 3/7
Step-by-step explanation:
For this we have to count the number of letters the phrase contains
"Mario kart on the Wii's fun" = 21
the phrase has a length of 21 letters
now we count how many vowels the phrase has
"Mario kart on the Wii's fun"
"aio a o e ii u" = 9
the phrase has 9 vowels
To know the probability we have to do the number of vowels over the number of letters
9/21
as it asks us that the fraction is reduced we have to simplify by 3
9 = 3*3 21 = 3*7
9/21 = 3*3 / 3*7
9/21 = 3/7
Answer:
x = - , x = 2
Step-by-step explanation:
To find h(g(x)) substitute x = g(x) into h(x) , that is
h(g(x))
= h(x + 1)
= (x + 1)²
= x² + 2x + 1
For h(g(x)) = 3x² + x - 5 , then
3x² + x - 5 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides
2x² - x - 6 = 0 ← in standard form
(2x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = -
x - 2 = 0 ⇒ x = 2
Question says that the graph of function g is a vertical stretch of the graph of function f by a factor of 3.
Now we have to find about which equation describes function g.
We know that if f(x) is the given function then a*f(x) gives vertical stretch or compress by a factor of a.
when 0<a<1 then it compresses by factor of a.
when a>1 then it stretches vertically by factor of a.
Given that function f is stretched by a factor of a so that means we use a=3 in formula a*f(x)
Hence final answer will be g(x)=3f(x).
So choice A is correct answer.
Fatima because anchors are what weigh the boat done and floats what make the boat for in different directions