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bonufazy [111]
3 years ago
10

0 = x2 + 6x + 9 factor by grouping explain

Mathematics
1 answer:
Zina [86]3 years ago
6 0
To factorise by grouping would require grouping the terms into the form x^2 +2a+ a^2= (x-a)^2. In which case, the a term would be 3, as 2a=6, a=3. Hence the factorised form would be (x-3)^2=0 which means that x-3=0 and hence x=3.
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To earn an A in an algebra course, a student must have a test average of at least 90. Mary has grades of 95, 82, 88 on her first
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Answer: Mary need to make at-least 95 on her fourth test to earn an A in her algebra course.

Step-by-step explanation:

Let x be the grades scored by Mary in the fourth algebra test.

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Then, the combined scores in four test will become = 95+82+88+x =  265+x

Average score = (Sum of all scores) ÷ (Number of tests)

=\dfrac{265+x}{4}

As per given ,

To earn an A in an algebra course, a student must have a test average of at least 90.

i.e. Average score ≥ 90

\Rightarrow\ \dfrac{265+x}{4}\geq90\\\\\Rightarrow\ 265+x\geq 90\times4=360\\\\\Rightarrow\ x\geq360-265 =95\\\\\Rightarrow\ x\geq90

Hence, Mary need to make at-least 95 on her fourth test to earn an A in her algebra course.

5 0
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