Answer:
yes it is a function
the domain is (-3, 8]
the range looks like (-5, 2.5]
Step-by-step explanation:
using the vertical line test, you can find that it is a function
the domain is all the x values between -3 and 8. -3 is not included since there is an open circle
The range is all the y values
Answer-
(1 and 3), (5 and 7), (6 and 8) are corresponding angles
<u>Solution-</u>
Corresponding Angles
-
When two parallel lines are crossed by another line (called the Transversal), the angles in matching corners are called Corresponding Angles.
e.g As shown in the attachment attached herewith, angle 1 and 2, 3 and 4 are Corresponding Angles.
∴ In the question, angle 1 and 3, 5 and 7, 6 and 8 are Corresponding Angles.
Answer:
$370
Step-by-step explanation:
You already have 90 dollars so we can put that to the side for right now
If you're charged $35 at an hourly rate for 8 hours then you have to multiply the two together
30 x 8 = 240
5 x 8=40
240 + 40=280
Now is when your $90 dollars comes in. Now just add the two together and you'll end up with your final answer
280+90=370
-x^2+4x-4
dy/dx=-2x+4, d2y/dx2=-2
Since acceleration is a constant negative, when dy/dx, velocity, equals zero, it is at the absolute maximum value for f(x).
dy/dx=0 when -2x+4=0, 2x=4, x=2
f(2)=-x^2+4x-4=-4+8-4=0
So there is a maximum of zero
...
.5x^2+8x+5
dy/dx=x+8, d2y/dx2=1
Since d2y/dx2, acceleration is a constant positive, when dy/dx=0, it is at the point when f(x) is at an absolute minimum.
dy/dx=0 when x+8=0, x=-8
f(-8)=.5x^2+8x+5=32-64+5=-27
So there is a absolute minimum of -27
...
-2(x+1)^2+5
dy/dx=-4(x+1)=-4x-4, d2y/dx2=-4
dy/dx=9 when -4x-4=0, -4x=4, x=-1
f(-1)=5
So the vertex is (-1, 5) and the axis of symmetry is the vertical line x=-1
