A square rotated about its center by 360º maps onto itself at 4 different angles of rotation. You can reflect a square onto itself across 4 different lines of reflection.
Answer:
Step-by-step explanation:
<u>3/4 left and 1/7 of that eaten:</u>
- 3/4 - 3/4(1/7) =
- (3/4) (1 - 1/7) =
- (3/4)(6/7) =
- 18/28 =
- 9/14
Answer:
Domain: all real numbers
Range: all real numbers
Step-by-step explanation:
The domain is all x values, and the range is all y values.
<u><em>Domain:</em></u>
The domain is all real numbers except where the slope is undefined (a vertical line). In this case, no number makes the expression undefined, so the domain is:
all real numbers
<u><em>Interval notation:</em></u><em> </em>(-∞,∞)
all negative numbers and positive numbers (all real numbers)
<em><u>Set-Builder Notation:</u></em> {x | x ∈ R
}
<em><u>Range:</u></em>
The range is the set of all valid values. Graph the line and check. Since all values of y are valid, the range is:
all real numbers
<u><em>Interval notation:</em></u><em> </em>(-∞,∞)
all negative numbers and positive numbers (all real numbers)
<em><u>Set-Builder Notation:</u></em> {x | x ∈ R
}
:Done
For this parabola we have:
f ( 0 ) = 8
and : f ( 1 ) = 24
In the first equation ( A) :
f ( 0 ) = - 16 * ( 0 - 1 )² + 24 = - 16 * 1 + 24 = 8 ( correct )
f ( 1 ) = - 16 * ( 1 - 1 )² + 24 = 24 ( correct )
For B:
f ( 0 ) = - 16 * ( 0 + 1 )² + 24 = - 16 + 24 = 8 ( correct )
f ( 1 ) = - 16 * ( 1 + 1 )² + 24 = - 16 * 4 + 24 = - 64 + 24 = 40 ( false )
For C:
f ( 0 ) = - 16 * ( 0 - 1 )² - 24 = - 16 - 24 = - 40 ( false )
f ( 1 ) = - 16 * ( 1 - 1 )² - 24 = - 24 ( false )
For D:
f ( 0 ) = - 16 * ( 0 + 1 )² - 24 = - 16 - 24 = - 40 ( false )
f ( 1 ) = - 16 * ( 1 - 1 )² - 24 = - 24 ( false )
Answer:
A ) f ( t ) = - 16 * ( t - 1 )² + 24
