Answer:
g(f(x)) = -x - 18
Step-by-step explanation:
2x - 6( (x + 6) / (2) )
2x - 3( x + 6)
2x - 3x - 18
-x - 18
1/2 <span>÷ 1/6 =
Divide fractions:
a x d / b x c
Therefore:
1 x 6 / 2 x 1 =
6 / 2 = 3
hope this helps!
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Answer:
d. None of the above.
Step-by-step explanation:
The period is the change in x required to make a change of 2π in the argument to the sine function:
2x = 2π
x = π
The frequency is the reciprocal of the period, so is 1/π. There are no matching answer choices.
Answer:
<h2><em>
A = 75 in²</em></h2>
Step-by-step explanation:
We have the rectangle and the right triangle.
The formula of an area of a rectangle:
<em>A = lw</em>
<em>l</em> - length
<em>w </em>- width
We have <em>l = 10 in</em> and <em>w = 5 in</em>. Substitute:
<em>A = (10)(5) = 50 in²</em>
The formula of an area of a triangle:
<em>A = 1/2 bh</em>
<em>b</em> - base
<em>h</em> - height
We have <em>b = 5 in</em> and <em>h = 5 in + 5 in = 10 in</em>. Substitute:
<em>A = 1/2(5)(10)=1/2(50)=25 in²</em>
The area of figure:
<h3><em>
A = 50 in² + 25 in² = 75 in²</em></h3>
Answer:
Step-by-step explanation:
Let x = calories in chocolate bar
¼x = ¼ of the calories
¼x – 10 = 10 calories less than half the calories
¼x – 10 = 70
¼x = 80
x = 320
There are calories in the chocolate bar.
