Answer:
The answer is 2
Step-by-step explanation:
Here's how I got it:
3(x - 2) = 6x - 12
Multiply 3 times x and 3 times 2, this is what you would get
3x - 6 = 6x - 12
Then, subtract the lowest x with the bigger X, this way you would have x on one side:
3x - 6 = 6x - 12
-3x -3x
This is what you should have after this:
-6 = 3x - 12
Now, to get the variable (letter that represents a number) by itself, you have to add 12 to both sides like this:
-6 = 3x - 12
+12 +12
You would get this:
6 = 3x
Finally, you have to get x by itself, so you have to divide 3 on both sides like this
6/3 = 3/3 x
That's why, your answer is 2
Answer:
(-16, 0) and (0,-12) are exactly two points on the graph of the given equation.
Step-by-step explanation:
Here, the given expression is : 
Here, let M(a) = b
⇒The equation becomes 
Now, check for all the given points for (a,b)
<u>1) FOR (-9,0)</u>

Hence, (-9,0) is NOT on the graph.
<u>2) FOR (-16,0)</u>
Here, LHS = b = 0
and
Hence, LHS = RHS = 0 So, (-16,0) is on the graph.
<u>3) FOR (0,12)</u>
Here, LHS = b = 12

Hence, (0,12) is NOT on the graph.
<u>4) FOR (0,-12)</u>
Here, LHS = b = -12

and LHS = RHS = -12
Hence, (0,-12) is on the graph.
Hence, (-16, 0) and (0,-12) are exactly two points on the graph of the given equation.
There are 2 orange marbles, 3 green marbles, & 5 purple marbles
two consecutives draws <em>without</em> replacement
Orange first, green second
Orange/total = 2/10, or 1/5
green/total - 1 = 3/9, or 1/3
1/5(1/3) = 1/15
There is a 1/15 chance of <em>Orange first, green second</em>
Both marbles are purple
Purple/total = 5/10, or 1/2
Purple/total = 4/9, or <em>44% chance of both being purple</em>
first is purple, the next is anything but purple
purple/total = 1/2, or 50% chance
(everything - purple)/total = 5/10, or 50% chance
1/2(1/2) = 1/4, or 25% chance of <em>first purple, then anything but purple</em>
hope this helps
Solution :
Given data :
20.1 33.5 21.7 58.4 23.2 110.8 30.9
24.0 74.8 60.0
n = 10
Range : Arranging from lowest to highest.
20.1, 21.7, 23.2, 24.0, 30.9, 33.5, 58.4, 60.0, 74.8, 110.8
Range = low highest value - lowest value
= 110.8 - 20.1
= 90.7
Mean = 



Sample standard deviation :





S = 29.8644
Variance = 

= 891.8823
Answer:
D. x = sqrt(52).
Step-by-step explanation:
Since the line measuring 6 units bisects the top angle, there are two right angles. We can use the Pythagorean Theorem to solve for x.
a^2 + b^2 = x^2
4^2 + 6^2 = x^2
16 + 36 = x^2
52 = x^2
x = sqrt(52)
x = sqrt(2 * 2 * 13)
x = 2sqrt(13)
x = 7.211102551.
Hope this helps!