Answer:
x = 17
Step-by-step explanation:
For the parallelogram to be a rhombus then then the diagonal must bisect the given angle, thus
3x - 11 = x + 23 ( subtract x from both sides )
2x - 11 = 23 ( add 1 to both sides )
2x = 34 ( divide both sides by 2 )
x = 17
Surprise! It turns out that the answer is 1.
Why?!!??!
Notice this pattern when working with powers of 2:
2^0 2^1 2^2 2^3 2^4
? 2 4 8 16
Every time we increase the power we multiply by 2. Or reading the pattern backwards, every time we decrease the power we divide by 2. What is 2 divided by 2? It is 1! So 2^0 = 1 to finish the pattern:
2^0 2^1 2^2 2^3 2^4
1 2 4 8 16
Try it with 3 or with 5 or with any number! You'll see that the pattern holds!
Answer:
C = 8 + 3x
The rate of change in the above equation is 3 dollars per game and it interpret the cost per game.
The initial value in the above equation is 8 dollars, which interpret the entry fee that every one person has to pay to enter the fair.
Step-by-step explanation:
Let the admission cost of the fair is $x and each game is $3.
Now, Steven went to the state fair, played 4 games and spent a total of $20 on admission and games.
So, we can write 20 = x + 4 × 3 {As the relation is linear}
⇒ x = $8
Therefore, the admission cost in the fair is $8.
Therefore, the equation that models the situation is
C = 8 + 3x ............ (1)
Where C is the total cost and x is the number of games played.
So, the rate of change in equation (1) is 3 dollars per game and it interprets the cost per game.
Again, the initial value in equation (1) is 8 dollars, which interprets the entry fee that each person has to pay to enter the fair. (Answer)
