The function is f(x) = [2/3] [6^x]
It is an exponential function whose range is all the positive values. This is, for any value of x that exponential function yields a value that is greater than 0. The graph never crosses the x-axis.
When you reflect the function over the x-axis, you flip the graph over x, and you can see that the range of the new fucntion iis all the negative values, this is all the real numbers less than zero.
Answer: all the real numbers less than zero.
Answer:
(i) Triangle ABC and triangle ADE are similar triangles. Hence, their ratios will be same.
Ratio of DE to BC is 4:6 => 2:3
To find area, we need to raise the ratio of length to power 2
(2/3)² = 16/x
4/9 = 16/x
x = (16*9)/4
x = 36cm²
Therefore, area of triangle ABC is 36cm²
(ii) Ratio of DE to BC is 4:8 => 1:2
(1/2)² = 25/x
1/4 = 25/x
x = 25*4
x = 100cm²
Therefore, area of triangle ABC is 100cm²
I'm not sure about the third question, sorry
Step-by-step explanation:
Answer:
The chocolates are<em> </em><u><em>heavier</em></u> than the weight the weight stated on the label. And the chocolates are<em> </em><u><em>0.0042 pounds heavier</em></u>.
Step-by-step explanation:
Given:
Weight of the chocolates in the bag is labeled = 0.384 pounds.
The actual weight of the chocolates = 0.3798 pounds.
Now, to find is the chocolates are heavier or lighter than the weight stated on the label and how much it is heavier or lighter.
So, we see the that the weight labeled is 0.3840 pounds and the actual weight is 0.3798 pounds which is lighter than the weight in label. As we see the hundredth place of the decimal of the actual weight is 8 and the labeled weight is 7 which is less than 8.
<u><em>Thus, the chocolates are heavier than the weight the weight stated on the label.</em></u>
Now, to get how heavier it is, we subtract the label weight from the actual weight:



<u>So, the chocolates are 0.0042 pounds heavier</u>.
Therefore, the chocolates are heavier than the weight the weight stated on the label. And the chocolates are 0.0042 pounds heavier.
Answer:
1. a=22.18394
2. 13.31803
Step-by-step explanation:
What is the question asking..?