The x coefficient is 2
Take half of 2 to get 2/2 = 1
Square 1 to get 1^2 = 1
Add and subtract 1 to the expression. This is the same as adding 0.
x^2 + 2x + 2
x^2 + 2x + 2 + 0
x^2 + 2x + 2 + (1-1)
(x^2 + 2x + 1) + 2 - 1
(x+1)^2 + 1
Answer: (x+1)^2 + 1
Answer:
The correct answers are a. Independent; b. Independent; c. Independent; e. Not Independent
Step-by-step explanation:
a. A jar contains fifteen coins which. Two coins are picked randomly without replacement. Thus the second pick is not dependent on the first pick as the coins in the all same and thus the experiment is independent.
b. A number cube is rolled twice. Outcome of the first roll is independent of the outcome in the second and thus the experiment is independent.
c. A box contains number cards labeled from 1 to 10 where 2 cards are chosen randomly with replacement. Hence first draw does not effect the sample making the experiment independent.
e. There are 3 green balls and 7 red balls in a bag with 2 balls are chosen randomly without replacement. Thus one pick depends on what is drawn in the previous pick thus making it a dependent or not independent event.
Answer:
see below
Step-by-step explanation:
Part 1: 5(2x - 4) = 30.
Distribute
10x -20 = 30
Add 20 to each side
10x-20+20 =30+20
10x = 50
Divide by 10
10x/10 = 50/10
x =5
Part 2: 5x + 3 - x + 2 = 41
Combine like terms
4x +5 = 41
Subtract 5 from each side
4x+5-5 = 41-5
4x = 36
Divide by 4
4x/4 = 36/4
x = 9
Answer:
All real numbers.
Step-by-step explanation:
Since this is a quadratic function, that means the domain is all real numbers.
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