Answer:
vertex = (- 1, 3 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
= - 
y = 2x² + 4x + 5 ← is in standard form
with a = 2, b = 4, then
= -
= - 1
Substitute x = - 1 into the equation for corresponding value of y, that is
y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3
vertex = (- 1, 3 )
Answer:
20x
Step-by-step explanation:
You would multiply 1/4 times 8. Or instead, you could divide 80 by 4. You would get 20 then you would multiply that by x and get 20x. Hope this helps.
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Answer: 
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Given: 
Find: 
Solution: In order to simplify the inequality we can simply add 4 to both sides which would isolate x.
<u>Add 4 to both sides</u>
Therefore, an inequality that would be equivalent to the one that was provided in the problem statement is x < 13.
Answer:
50 times.
Step-by-step explanation:
Since the two coins are fair, each has a 1/2 chance of landing on heads. If both of them land on heads, that possibility would be 1/4 (1/2 * 1/2)
Because you are running the experiment 200 times, multiply 200 by 1/4:
200/4 = 50 times.
Hope this helps!