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Answer:
b. g(x) = 0.5f(x)
Step-by-step explanation:
Compared to the line y=x, the graph of g(x) has a vertical scale factor of 1/2. We can also observe that the equation for g(x) is ...
g(x) = 1/2x
If we substitute f(x) for x, then this is ...
g(x) = 1/2f(x) . . . . matches choice B
Answer:
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Option 2 because in option one 7.5% of $300 is $22.50 so more would be put in if he chose the second option
Answer:
E. -8/3
F. 8/3
Step-by-step explanation:
9x^2-64=0
Add 64 to each side
9x^2-64+64 = 0+64
9x^2 =64
Divide each side by 9
9x^2/9 = 64/9
x^2 = 64/9
Take the square root of each side
sqrt(x^2) = ±sqrt(64/9)
We know that sqrt(a/b) = sqrt(a)/sqrt(b)
x = ±sqrt(64)/sqrt(9)
x = ± 8/3
OK, let's try with no figure. We have an isosceles triangle sides s,s, and b.
Opposite b is angle t.
Draw the altitude h to bisect t. We have two right triangles, legs b/2 and h, hypotenuse s. The angle opposite b/2 is t/2 so
sin(t/2) = (b/2)/s = b/2s
So we arrived at the first part,
b = 2s sin(t/2)
The area of a triangle with sides s,s and included angle t is
A = (1/2) s² sin t