Answer:
7over9 or -7over9
Step-by-step explanation:
81x power 2 - 8 = 41
(left side) (right side)
first we let the 8 from left side go to the right side,so it will be +8:
81x power 2 = 41+ 8
=49
so now we let the 81 from left side go to right side, so it will be ÷81:
x power 2= 49 over 81
and now we let the power 2 (square) go to the other side so it will become square root:
x = + - √49 over 81
at the end, you will get 2 answers which is 7 over 9 and - 7 over 9
Answer:
38 in
Step-by-step explanation:
P=w+w+h+h=18+18+6+6=26+12=38 in
4.b.
Answer: See below.
Step-by-step explanation:
<h2><u>
For the equation f(x) = 2x</u></h2>
3.a. f(6) means use x = 6 in the equation f(x) = 2x
so f(6) would be f(6)= 2(6)
<u>f(6) = 12</u>
3.b. f(-11) = 2(-11)
<u>f(-11) = -22</u>
3.c. f(2.75) = 2(2.75)
<u>f(2.75) = 5.5</u>
3.d. This is turned around. We are told f(x)=20, so what would x need to be for f(x) to be 20? Since f(x) = 2x, we can say 20 = 2x. Therefore x = 10
f(10) = 20
<u>The rest of (3) are solved in the same fasion.h</u>
<u></u>
<h2><u>
For the equation f(x)= 5x+50</u></h2>
4.a. f(7) = 5(7)+50
<u>f(7) = 85</u>
4.b. f(-12)
f(-12) = 5*(-12)+50
<u>f(-12) = -60</u>
<u></u>
Continue in the same fashion for these types of problems.
Do you have a picture of the graph, I cant help u with out it. :)
Answer:
The expected value of this game is -$0.26.
Step-by-step explanation:
Expected value:
Each possible earning/loss multiplied by it's probability.
Probability:
Number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the numbers are chosen is not important. So we use the combinations formula to solve.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Probability of winning:
Desired outcomes:
The 6 correct numbers, so 
Total outcomes:
6 numbers from a set of 21. So

Probability:

Expected value
probability of earning 40,000.
probability of losing 1. So

The expected value of this game is -$0.26.