1 is the least prime number
Answer: In the resulting equation: " a² - 12a + 32 = 0 " ;
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The "coefficient" of the "a" term is: " - 12" .
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The "constant" is: " 32 " .
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Explanation:
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Let: "a = x² + 4 " .
Given: (x² + 4)² + 32 = 12x² + 48 ;
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Factor: "12x² + 48" into " (x² + 4) " ;
"12x² + 48" = 12 (x² + 4) " ;
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Given: (x² + 4)² + 32 = 12x² + 48 ;
rewrite as; "a² + 32 = 12a " ;
Subtract "12a" from each side of the equation;
"a² + 32 - 12a = 12a - 12a ;
to get:
" a² - 12a + 32 = 0 " .
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The coefficient of the "a" term; that is:
The "coefficient" of " -12a" ; is: "- 12" .
The constant is: "32<span>" .
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Answer:
A. full line across label 6 inches
B. Full line across label 10 inches
C. Full line across label 12 inches
Part B:
A. 18.84 inches
B. 31.4 inches
C. 37.68 inches
Step-by-step explanation:
Hope this helps
Substitute y = 3x + 15 to the equation -4x + 7y = 20:
-4x + 7(3x + 15) = 20 <em>use distributive property</em>
-4x + (7)(3x) + (7)(15) = 20
-4x + 21x + 105 = 20 <em>subtract 105 from both sides</em>
17x = -85 <em>divide both sides by 17</em>
x = -5
Substitute the value of x to the equation y = 3x + 15:
y = 3(-5) + 15
y = -15 + 15
y = 0
<h3>Answer: x = -5 and y = 0</h3>
Answer:
9%
Step-by-step explanation:
Let the required number be 100.
Now, according to the question, the number is first increased by 30 %
⇒ 100 + 30 % of 100
⇒ 100 + [(30*100)/100]
⇒ 100 + 30
⇒ 130
Then, it is decreased by 30 %
⇒ 130 - (30 % of 130)
⇒ 130 - [(30*130)/100]
⇒ 130 - 39
⇒ 91
Net Decrease = 100 - 91
= 9
Percent Decrease = (Change in number*100)/100
⇒ (9*100)/100
= 9 %
