2. Addition POE(property of equality)
3. Add variables
4. Subtraction of integers
5. Division of integer
Answer:
17 rows
Step-by-step explanation:
We know that f(x) = 2x² - 10x models the total number of spaces and x models the number of rows.
Since we are given the total number of spaces of 408. We let f(x) = 408
2x² - 10x = 408
Now we solve as a quadratic, subtract 408 to both sides
2x² - 10x - 408 = 0
Divide 2 on both sides
x² - 5x - 204 = 0
We look for terms that multiply to -204 and add to -5.
Those terms are -17 and 12
x² - 17x + 12x - 204 = 0
x(x-17) + 12(x-17)
(x+12)(x-17)
x = -12 x = 17
We can not have -12 rows but we can have 17 rows.
17 rows is the answer.
Answer:
Step-by-step explanation:
When moving -18 to the other side, he didn’t do 20 + 18. (Mistake 1)
When dividing 2/-4 he didn’t flip the inequality from > to <. (Mistake 2)
Correct:
Answer:
B
Step-by-step explanation:
Domain is the set of x values
Looking at the table we can say that the set of x values ( domain ) is {1,2,3,4}
Answer: C. Her probability of winning is dependent event because it depends on the results of her friends rolls.
Step-by-step explanation: In probability, dependent event is an event that is affected by the outcome of another event.
In a dice there are 6 possibilities: numbers 1, 2, 3, 4, 5 and 6. To win the game, Taylor has to roll a number higher than 1 or 3, i.e. she has to roll the numbers 4, 5 or 6.
The probability of that happening is: P(a) = 3/6 = 1/2 = 50%.
Therefore, the events are dependents, because it depended on the outcome of the friends playing the game.