Answer:
x=1/3 or x=−2
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Step-by-step explanation:
Step 1: Add 2 to both sides.
3x^2+5x−2+2=0+2
3x^2+5x=2
Step 2: Since the coefficient of 3x^2 is 3, divide both sides by 3.
3x^2+5x/3=2/3
x^2+5/3x=2/3
Step 3: The coefficient of 5/3x is 5/3. Let b=5/3.
Then we need to add (b/2)^2=25/36 to both sides to complete the square.
Add 25/36 to both sides.
x^2+5/3x+25/36=2/3+25/36
x^2+5/3x+25/36=49/36
Step 4: Factor left side.
(x+5/6)^2=49/36
Step 5: Take square root.
x+5/6=±√49/36
Step 6: Add (-5)/6 to both sides.
x+5/6+ −5/6=
−5/6±√49/36x=−5/6±√49/36x=
1/3 or x=−2
Answer:
7/8
Step-by-step explanation:
9/8 divide 9/7
Solution :
9/8 ÷ 9/7
= 9/8 x 7/9
= 63/72
= 7/8
Answer:
d = 1
Step-by-step explanation:
5(d+2)=15 (Given)
5d + 10 = 15 (distribute)
5d = 5 (subtraction)
d = 1 (division)
Answer: Last Option is correct.
Step-by-step explanation:
Since we have given that
Total number of population = 25000
Percent of sample of Jason = 0.24%
Percent of sample of Yolanda's = 0.32%
So, Number of population according to Jason's sample is given by

Number of population according to Yolanda's sample is given by

Both the sample can be used to make inferences about the population
Hence, Last Option is correct.