<span>log(x-3)+log(x) = 2 + log(x+2)
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log[(x-3)x] - log(x+2) = 2
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log[(x^2-3x)/(x+2)] = 2
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(x^2-3x)/(x+2) = 2^2
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x^2-3x = 4x+8
x^2 - 7x - 8 = 0
Factor:
(x-8)(x+1) = 0
Positive solution:
x = 8</span>
Answer:
x = 20 degrees and y = 70 degrees
Step-by-step explanation:
The first thing you do is work out the angle next to 180 degrees
180 - 40 = 140
Bottom angles in an isosceles triangle are equal.
180 - 140 = 40
40/2 = 20
so x = 20 degrees
The next thing is right angle - 20 = 70 degrees
Angles in a triangle add up to 180 degrees
70 + 40 = 110
180 - 110 = 70
so y = 70 degrees
Answer:
8.34375 Round it to the nearest Hundred
Step-by-step explanation:
22.25×9 = 200.25 ÷24= 8.34375
Divide each term by 10 to get b alone
10b = −10 = 10b/10 = -10/10
b = -1
Answer:
Option A.
Step-by-step explanation:
Let M be the milk per gallon.
C be the cookies per dozen.
B be the bundle (one gallon of milk and a dozen cookies ).
Milk can be sold by itself for a profit of $1.50 per gallon. Cookies can likewise be sold at a profit of $2.50 per dozen and bundle is sold for a profit of $3.00 per bundle.
We need to maximize the profits. So, our objective function is
Therefore, the correct option is A.
