Answer:
f^-1 (x) = - 6x-1 / 10 + 9x
Answer:
- complement: 32.8°
- supplement: 122.8°
Step-by-step explanation:
The sum of an angle A and its complement C is 90°:
A + C = 90°
C = 90° -A . . . . . subtract A from both sides.
That is, the complement of an angle is found by subtracting the angle from 90°.
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The sum of an angle and its supplement is 180°. This means the supplement of an angle is found by subtracting the angle from 180°. You may notice the supplement is 90° more than the complement.
A + S = 180°
S = 180° -A = 90° +(90° -A)
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For the given angle, the complement is ...
C = 90° -57.2° = 32.8°
And the supplement is ...
S = 180° -57.2° = 122.8°
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<em>Additional comment</em>
We generally like angle measures to be positive (as with all measures in geometry). Hence, we might say that the complement of an angle greater than 90° does not exist. YMMV
Answer:
Step-by-step explanation:
we know that
The roots of the quadratic function (x-intercepts) are
x=-1 and x=5/3
so
we can write the equation of the parabola as
where
a is a coefficient
Remember that
The parabola pass through the point (5,40)
substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a
x=5, y=40
substitute
apply distributive property
see the attached figure to better understand the problem
First, let's find g(4). After we find it, we can substitute the value into 
.
To find g(4), we need to substitute x = 4 into the function 
, as shown below:
Now that we have found g(4) = 9, we can substitute this value in for 
in .
f(g(4)) is equal to 28.
Range is the y values or ouputs
domain is inputs or x vvalues
we can use any x value
but at a certain y value, w can't go below that
find thatminimum
find the vertex
for
ax^2+bx+c
the x value of the vertex is
-b/2a
plug that in to the equaiton to get the y value
-b/2a=-(-6)/(2*2)=6/4=3/2
plug that in
2(3/2)^2-6(3/2)-9
2(9/4)-9-9
9/2-18
4.5-18
-13.5
domain=all real numbers
range=from -13.5 to positive infinity
