In the function g(x) the exponent is (x - 1), so g(x) = 12 * 2 ^ (x -1)
h(x) = 3x
So, you have to find the product f(x) * h(x) for x = 6
f(6) = 12 * 2 (6 -1) = 12 * 2(5) = 12 * 32 = 384
h(6) = 3(6) = 18
f(6) * h(6) = 384 * 18 = 6912
Answer: 6912
Basically, when dealing with measurement problems such as these you ALWAYS need to have a key, or keys. The key(s) in this situation would be: 1 inch equals 12 feet, and 12 inches equals 1 foot. Now what you need to do is solve. So, width of the building's lot is 114 feet. You want to divide that by twelve because, remember one of the key(s) is 1 inch=12 feet. So the twelve you are dividing by is the 1 inch= 12 feet equation. Now when you divide 114÷12, you get the answer of 9.5, AKA 9 1/2. And now to check the answer, multiply 9.5 with 12, and that would give you 114. I hope this helps!
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Step-by-step explanation:
Let O be the center of the circle
We have Angle YOW = 125°
and Angle WOX = 121°.
Therefore Angle YOX = 360° - 125° - 121° = 114°.
(Sum of angles around a point is 360°)
Since Angle at Center = 2 * Angle at Circumference,
Angle YWX
= 0.5 * Angle YOX = 0.5 * 114° = 57°. (A)
Answer:
a=-3
Step-by-step explanation:
Add the 2 from the left to the right, swapping the sign go be positive over the equal sign.
You then have a+3=0
Subtract the three from both sides:
a=-3
