Ok, so what we want to do here is first remove the repeating decimal.
x=2.16 repeating
10x=21.6 repeating
100x=216.6 repeating
Subtract 10x=21.6 repeating from 100x=216.6 repeating. This will get rid of the repeating numbers.
100x=216.6 repeating
-10x=21.6 repeating
__________________
90x=195
Divide both sides by 90.
x=195/90
Now you can simplify that into 13/6.
Answer:
Sample space: {Black, Red, Blue, Brown, Purple, Yellow, Green}
Simple event
Step-by-step explanation:
Sample space is a list of all the possible outcomes.
This is a simple event because you are only doing one event, such as choosing marbles from a bag.
A compound event would be multiple simple events, such as flipping a coin <em>and</em> rolling a dice.
For this problem,all we have to do is translate the word problem into algebraic equations. The equations are as follows:
L = √100 * x = 10x
W = 1/2*y - 3/2*x
Since A is equal to length times width
A = LW
If L is given, we can find the x. Therefore, we must set the equation where the dependent variable is y and the independent variable is x.
125 = LW
W = 125/L
1/2*y - 3/2*x = 125/10x
10x(1/2*y - 3/2*x) = 125
5xy - 15x² = 125
xy - 3x² = 25
y = (25+3x²)/x
<em>y = 25/x + 3x</em>
ANSWER
The maximum value is 625
EXPLANATION
The height of the stick that the bird dropped is modeled by the function;
This function is already in the vertex form.
Let me rewrite it clearly for you to see.
When we compare this to;
we have h=0 and k=625.
k=625 is the y-value of the vertex.
This is the maximum value on the graph of this function.
