Answer:
c. g(x) = 4x^2
Step-by-step explanation:
From a first glance, since g(x), is skinnier than f(x), meaning that it is increasing faster, so I know that I can eliminate options A & B since the coefficient on x needs to be greater than 1.
We can then look and see that g(1) = 4 as shown by the point given to us on the graph.
To find the right answer we can find g(1) for options C & D and whichever one matches the point on the graph is our correct answer. e
Option C:
once we plug in 1 for x, our equation looks like
4(1)^2.
1^2 = 1, and 4(1) = 4,
so g(1) = 4. and our point is (1,4).
This is the same as the graph so this is the CORRECT answer.
If you want to double check, you can still find g(1) for option D and verify that it is the WRONG answer.
Option D:
once we plug in 1 for x, our equation looks like
16(1)^2
1^2 = 1, and 16(1) = 16,
so g(1) = 16. and our point is (1,16).
This is different than the graph so this is the WRONG answer.
Answer:
<em>x = 2</em>
Step-by-step explanation:
<u>Exponential Equations</u>
Solve:
Separate each exponential:
Operating:
Multiplying by 5:
Rearranging:
Recall that:
Calling
Factoring:
There are two possible solutions:
y=25
y=-50
Since
y cannot be negative, thus:
The solution is:
x = 2
That would be 1.175 Answer
Answer:g is greater than or equal to 6g + 18/5, or g >_ 6g + 18/5
Step-by-step explanation: 5G- 2 <_ 6g + 16
Add 2 to the 16. 5g <_ 6g + 18.
Divide 5 to both sides. g >_ 6g + 18/5
Answer:
(2, 0)
Step-by-step explanation:
First, find how the other point was transformed:
The x coordinate increased by 1, and the y coordinate increased by 4.
Now, do these same transformations to the other point, (1, -4)
x coordinate: 1 + 1 = 2
y coordinate: -4 + 4 = 0
So, the new point is (2, 0)
