Answer:
40
Step-by-step explanation:
10 x 8 equals the area for a square/rectangle then multiplied by .5 equals area for a triangle. You multiply because triangles are half of a square.
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The notation just means
(f/g)(-4) = f(-4) / g(-4)
If f(x) = x² + 2 and g(x) = 1 - 3x, then
f(-4) = (-4)² + 2 = 16 + 2 = 18
g(-4) = 1 - 3 (-4) = 1 + 12 = 13
and so
(f/g)(-4) = 18/13
True!! If you multiply -3 x -7 you get 21!!
<h3>Given</h3>
... f(x) = x² -4x +1
<h3>Find</h3>
... a) f(-8)
... b) f(x+9)
... c) f(-x)
<h3>Solution</h3>
In each case, put the function argument where x is, then simplify.
a) f(-8) = (-8)² -4(-8) +1 = 64 +32 + 1 = 97
b) f(x+9) = (x+9)² -4(x+9) +1
... = x² +18x +81 -4x -36 +1
... f(x+9) = x² +14x +46
c) f(-x) = (-x)² -4(-x) +1
... f(-x) = x² +4x +1
The first thing we must do for this case is to define variables.
We have then:
x = Tim's age
Now we write the equation:
x + 7 = 3 (x-19)
Answer:
Tim's age in 7 years will be three times what it was 19 years ago:
x + 7 = 3 (x-19)
