If you would like to find the function that gives the profit Betty makes by selling a number of glasses of lemonade, you can find this using the following steps:
p ... profit
g ... glasses of lemonade
f(g) = p = g * $1 - $50
The correct result would be f(g)<span> = g * $1 - $50.</span>
In order to determine the number of boys in the class, first, we set-up an algebraic equation. Let x = number of boys in the class. The equation is then: x + 4x = 45. This is because the number of girls is 4 times greater than the number of boys. After solving the algebraic equation, it is then determined that there are 9 boys in the Chemistry class.
Answer:
A
Step-by-step explanation:
We know that identity:
cos^2x+sin^2x=1.
From that we have:
cos^2x=1-sin^2x.
So it is:
cos^2x-sin^x=(1-sin^2x)-sin^2x=1-2sin^2x.
And this is A).
B) is not treu because cos^2 is not sin^2x+1
C) is not true because cos^2x-sin^x=1 is false.
D) is not treu because cos^2x is not sin^2x-1
If A=38x-x^2 then
dA/dx=38-2x
d2A/dx2=-2
Since the acceleration, d2A/dx2 is a constant negative, when velocity, dA/dx=0, it will be an absolute maximum for A(x)
dA/dx=0 only when 38=2x, x=19
A(19)=38(19)-19^2
A(19)=722-361
A(19)=361 ft^2
So the maximum possible area is 361 ft^2
(This will always be true as the maximum possible area enclosed by a given amount of material will always be a perfect square...)
<span>1) supplementary angles => sum of angles' measure is 180°
Two lines intersecting creating four angles with the left obtuse angle labeled one and the acute angle to the right labeled two
= > angle 1 + angle 2 = 180°
Then those two match.
2) complementary angles => sum of the two angles = 90°
Two lines intersecting in a right angle with a square indicating a right
angle in quadrant one and a ray splitting quadrant two with a two
labeling the left angle and one labeling the angle on the right
=> angle 2 + angle 1 = 90°
Then those two match
3) vertical angles
Two parallel horizontal lines intersected by a vertical line with a
square indicating a right angle in quadrant one of the top line and a
one labeling the angle in quadrant two and two labeling quadrant four of
the top line
Those two matches because the angle label 1 and the angle label 2 are vertical angles as per the definittion.
4) adjacent angles
Two lines intersecting in a V shape with the left angle of one hundred fifty seven degrees and a bottom angle of X degrees
Those two match becasue the angle of 157° and the angle of X° are adjacent.
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