Answer:
21
Step-by-step explanation:
prim factors: 2, 3, 5, and 11
3m+6=24
3m=18
m=6
So mike traveled 6 miles by taxi.
We know that the taxi driver chargers $3 per mile, so we say M is the mile variable, and for every M there is $3. So 3m+6 (initial fee) is the first part of the formula.
We set 3m+6=24 (24 being the total amount the taxi driver is charging)
Given:
The two functions are:
To find:
The statement that best compares the graph of g(x) with the graph of f(x).
Solution:
The horizontal stretch is defined as:
...(i)
If 
, the function f(x) is horizontally stretched by factor 
.
If 
, the function f(x) is horizontally compressed by factor .
We have,
Using these functions, we get
...(ii)
On comparing (i) and (ii), we get
Since , the function f(x) is horizontally stretched by factor 
.
Hence, the correct option is D.
Answer:
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Answer:
The area of the triangle is six square metres.
Step-by-step explanation:
The area of the triangle is half the area of the rectangle that it fits in. This one is particularly simple, as it's a right triangle and we're given its width and height, so it's area is:
w × h ÷ 2
= 3 × 4 ÷ 2
= 3 × 2
= 6
