G(x) can be obtained from F(x) by shifting F(x) 4 units to the right and 1 unit upwards.
Shift towards right can be obtained by subtracting 4 from the x in the function and the upward shift can be obtained by adding 1 to the function.
So,
G(x) = F(x-4) + 1
Thus,
G(x) = (x-4)² + 1
So, the correct answer to this question is option B
Set up a ratio. 1 1/8 gallons is to 13 1/2 miles as 1 gallon is to x miles.
x= unknown number of miles
(1 1/8) / (13 1/2)= 1 / x
cross multiply top left by bottom right and bottom left by top right
1 1/8 * x= 13 1/2 * 1
1 1/8x= 13 1/2
convert each mixed number to improper fractions
9/8x= 27/2
divide both sides by 9/8
x= 27/2 ÷ 9/8
to divide fractions, multiply by the reciprocal/inverse of 9/8
x= 27/2 * 8/9
multiply numerators together; multiply denominators together
x= (27*8)/(2*9)
x= 216/18
x= 12 miles
ANSWER: A car can travel 12 miles for each 1 gallon of gas.
Hope this helps! :)
Answer:
Option (B) four consecutive numbers,
Step-by-step explanation:
The question in English is
Check that the number 120 is equal to the product of :
(A) three consecutive numbers,
(B) four consecutive numbers,
(C) five consecutive numbers
we know that
The number 120 is equal to
Answer:
Any Number
Step-by-step explanation:
g(x) can be any number greater or smaller than f(x) by the value of k - and so whatever k is, is how to make f turn to g.