Answer:
x = -2; or x = -8
Step-by-step explanation:
Solve the quadratic function by completing the square. What are the missing pieces in the steps? -32=2(x^2+10)
-32+___=2(x2+10x+25)
18=2(x+5)^2
9=(x+5)^2
+-___=x+5
X=-2 or x=___
Solution:
From the first line:
-32+___=2(x2+10x+25)
Also, in the second line:
18=2(x+5)^2
Let the missing piece on line 2 be a, hence:
x² + 10x + 25 = (x + 5)² and -32 + a = 18
a = 18 + 32 = 50
-32 + 50 =2(x²+10x+25)
18 = 2(x+5)²
Dividing through by 2:
18 / 2= [2(x+5)² / 2]
9 = (x + 5)²
Taking square root of both sides:
√9 = √(x + 5)²
± 3 = x+5
Simplifying the equation to get:
3 = x + 5; -3 = x + 5
x = 3 - 5; or x = -3 - 5
x = -2; or x = -8
Answer:
1 1/30 gallon
Step-by-step explanation:
Can A = 1/3 gallon
Can B = 1/5 gallon
Can C = 1/2 gallon
Total paint Neil has = Can A + Can B + Can C
= 1/3 + 1/5 + 1/2
The lowest common multiple of 3, 5 and 2 is 30
= (10+6+15) / 30
= 31/30
= 1 1/30 gallon of paint
Neil has a total of 1 1/30 gallon of paint
Answer:72 divided by 9 equals 8
Step-by-step explanation:9 x 8=72
Answer:
<h2>x = 3.1</h2>
Step-by-step explanation:
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<u>To solve first take logarithm to both sides</u>
That's
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But
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So we have
<u>Write 1200 as a number with the factor 100</u>
That's
1200 = 100 × 12
So we have
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<u>Using the rules of logarithms</u>
That's
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Rewrite the expression
That's
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x = 3.079
So we have the final answer as
<h3>x = 3.1 to one decimal place</h3>
Hope this helps you
