Given:
The graph of function g(x) is a transformation of the graph of function f(x) = x²
As shown: the graph of g(x) is open down
So, we will reflect f(x) over the x-axis, the function will be ⇒ -x²
And there is horizontal compression so, the factor of compression will be > 1
So, the function will be ⇒ -2x²
Finally, there is a vertical shift down 3 units
So,
2x + 3 = 9 Move all terms not containing x to the right side of the equation.
2x = 6 Divide each term by 2 and simplify.
x=3
Answer: A. Wed to Fri
We have a bunch of natural numbers and we're told a pair is in the ratio 2:5.
For natural numbers to have this ratio, the left number will be a multiple of two and the right number will be a multiple of five.
Our only option for a multiple of 5 is 15, Friday. So we have
2:5 = x:15
and x = 15*2/5 = 6
which was Wednesday's number. So we get Wed:Fri=6:15=2:5.
Answer:
a)
b)
c), Yes;
Step-by-step explanation:
Michael's Weight:
Al's weight:
a) Ratio of Michael's weight to Al's weight:
b) This ratio simplifies to:
c) Yes, If the exponent in each expression were negative, then we have:
Ratio of Michael's weight to Al's weight:
This ratio simplifies to:
The two ratios are not the same.