We want to translate the given statement into an algebraic expression.
The expression is:
d = 0.45*L
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When we have a discount of an X% on a given value V, that discount will be:
D = (X%/100%)*V.
Here we have:
<em>"A </em><em>discount</em><em> of a 45% on the list price L"</em>
The discount will be given by:
d = (45%/100%)*L = 0.45*L
d = 0.45*L
This is the expression we wanted to get.
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A. -3 < x < 1
b. x < = 4 or x > = 6
D is distance which is 72 meters
time represents seconds which is 12
so ratio is 12:72
reduce to get 1:6
time over distance would be 1/6
every second Eddie runs 6 meters
so t= d/6
or 6t=d
The triangles that would be created if the rectangle has a length and width that are different is a right scalene triangle.
It will have one right angle and all three sides of the triangle will be different lengths because the hypotenuse (the diagonal will be longer than the other two sides.
<span>f(x) = 1.5 x (1 - x)
f(0.8) = 1.5(0.8)(1 - 0.8) = 0.24
f(0.24) = 1.5(0.24)(1 - 0.24) ~= 0.274
f(0.274) = 1.5(0.274)(1 - 0.274) ~= 0.298
f(0.298) = 1.5(0.298)(1 - 0.298) ~= 0.314
f(0.314) = 1.5(0.314)(1 - 0.314) ~= 0.323
</span>So the answer is D : 0.24, 0.274, 0.298, 0.314, 0.323