Answer:
graph g(x)=1/4 x^2 - 2
Step-by-step explanation:
You are to replace x with (1/2x) in the expression x^2-2
So you have (1/2x)^2-2
1/4 x^2-2
Graph some points for g(x)=1/4 x^2-2
The vertex is (0,-2) and the parabola is open up.
I would graph 2 more points besides the vertex
x | g(x) ordered pairs to graph
----------- (-1,-1.75) and (0,-2) and (1,-1.75)
-1 -1.75
0 -2
1 -1.75
Answer:
Given:
Suppose Paul receives a 6% raise every year.
To find:
After four such raises, the total percentage increase to the nearest whole percent.
The formula used to calculate percentage is: (value/total value)*100%.
Step-by-step explanation:
Step 1 of 1
Assume his salary is originally 100 dollars.
Then, in the next year, he would have 106 dollars, and in the next, he would have 112.36 dollars.
The next year he would have 119.1016 dollars and in the final year, he would have 126.247.
As the total increase is,
((126.247 -100)/100) *100
= 26.247%
the answer is 26%.
Answer:
3x = 50 - 10y
Step-by-step explanation:
Here, x represents the number of 3 lb weights and y represents the number of 10 lb weights,
So, total weight of 3 lb weights = 3x
And, the weight of 10 lb weights = 10y
Total weight of all his weights = 3x + 10y
According to the question,
Total weight = 50 lb,
⇒ 3x + 10y = 50
Or 3x = 50 - 10y
Which is the required equation.
Second option is correct.
One third written as a fraction is 1/3. You can also write it as a decimal by simply dividing 1 by 3 which is 0.33.
If you multiply 0.33 with 536 you will see that you will end up with the same answer as above.
You may also find it useful to know that if you multiply 0.33 with 100 you get 33.33. Which means that our answer of 178.67 is 33.33 percent of 536.
Solution : 178.67
