Answer:
R2 > R1
Step-by-step explanation:
Here in this question, we want to select which of the relations best gives the answer.
Mathematically;
Power = Voltage * current
But current = voltage/resistance
Power = voltage * voltage/resistance
P = V^2/R
For 40 W
40 = (220)^2 * R1
R1 = 40/(220)^2
For 60 W
60 = (220)^2 * R2
R2 = 60/(220)^2
Mathematically, since we have the same denominator (220)^2 but with 60 greater than 40, that automatically translates to the fact that the value of R2 is greater than the value of R1( You can finish evaluating each of the expressions using a calculator).
Nicole used only a fraction of her ribbon to wrap the present
the length of ribbon she used is 6 feeet
so lets name the length of the ribbon she had originally as X
the fraction of X she used was - 3/8 of X
so we can write the following equation
when of function is used we multiply
3X = 6*8
3X = 48
X = 16
therefore length of the original ribbon piece Nicole had was 16 feet
Answer:
C ( h(x) = x^2 - 6x)
Step-by-step explanation:
Assuming that the function has a slope of 1 (none of the answer choices show a different slope, for all of the coefficients of x^2 are 1) the easiest way to solve this problem would be to find the function for the graph instead of inputting points from the graph into each of the function. (you could do that if you weren't sure.) To get a function from the graph, we first have to find the vertex and enter it into this vertex form function:
h(x) = (x - a )^2 - b
(there are other ways, but finding the vertex and putting the function in vertex form and then simplifying is the easiest way in this situation.) Looking at the graph, we can tell that the vertex of the function is (3, -9). Using the fact that h(x) = (x - a )^2 - b works for the vertex (-a, b), we can conclude that the function is
h(x) = (x - 3)^2 - 9.
This is not an answer! We have to simplify (x - 3)^2 - 9 to answer the question. By squaring x - 3, we get:
x^2 - 6x + 9 - 9 =
x^2 - 6x.
Therefore, the answer is:
C (h(x) = x^2 - 6x).