The problem uses the perimeter formula. P = 2w + 2l where w is the width, and l is the length.
We know the length (l) is 3 inches longer than it's width (or l = w+3). Substitute w +3 into Perimeter equation
P = 2w + 2(w+3). That simplifies to P = 4w + 6.
Since P + 42, we have 42 = 4w +6. With some simple algebra we find that w = 9 and l = 12.
Hope this helps!
Answer: Option D) 3 x 5 + 4 x 2
Step-by-step explanation:
- Since a dozen muffins costs $5.
Buying 3 dozen muffins means (3 x $5)
- Since Large bottles of juice cost $2.
The cost of 4 large bottles of juice is (4 x $2)
Hence, the total cost is (3 x $5) + (4 x $2)
= $15 + $8
= $23
Now, you'll notice that "3 x 5 + 4 x 2" gives 23.
Thus, it is the only expression that could be used to find the total cost.
Answer:
(c) x = 2 and x = -8
Step-by-step explanation:
The rules of logarithms let you rewrite this as a quadratic equation. That equation will have two (2) potential solutions. We know from the domain of the log function that any negative value of x will be an extraneous solution.
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The rules of logarithms that apply are ...

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<h3>take antilogs</h3>
We can rewrite the equation so that only one logarithm is involved. Then we can take antilogs.

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<h3>solve the quadratic</h3>
Adding (6/2)² = 9 to both sides will "complete the square."
16 +9 = x² +6x +9 . . . . . . . add 9
25 = (x +3)²
±√25 = x +3 = ±5 . . . . . take the square root(s)
x = -3 ±5 = {-8, +2}
The two potential solutions are x = 2 and x = -8.
Answer:
Correct simplification: y^15/(xy^3−3)^5
Step-by-step explanation: