Answer:
- (9.5, 6.5) and (-4.5, -7.5)
Step-by-step explanation:
Let the extended points be A' and B' and add the point M as midpoint of AB
<u>Coordinates of M are:</u>
- ((6 - 1)/2, (3-4)/2) = (2.5, -0.5)
Now point A is midpoint of A'M and point B is midpoint of MB'
<u>Finding the coordinates using midpoint formula:</u>
- A' = ((2*6 - 2.5),(2*3 - (-0.5)) = (9.5, 6.5)
- B' = ((2*(-1) - 2.5), (2*(-4) - (-0.5)) = (-4.5, -7.5)
Answer:
490
Step-by-step explanation:
d(x)=700-7(30)
7x 30=210
700-210=490
therefore,
r(x)=490
Answer: The inverse of the linear function f(x)=2x+1 is f^(-1) (x) = (1/2)x-1/2
Solution
f(x)=2x+1
y=f(x)
y=2x+1
Isolating x: Subtracting 1 both sides of the equation:
y-1=2x+1-1
y-1=2x
Multiplying both sides of the equation by 1/2:
(1/2)(y-1)=(1/2)2x
(1/2)y-1/2=x
x=(1/2)y-1/2
Changing "x" by "f^(-1) (x)" and "y" by "x":
f^(-1) (x) = (1/2)x-1/2
Answer:
Below
Step-by-step explanation:
Substituting the given values:
f(6) = 6(2/3) - 2 = cube root of 6^2 - 2 = cube root 36 - 2
f(-6)= (-6)(2/3) - 2 = cube root of(-6)^2 - 2 = cube root 36 - 2
So This is true,
f(6) = cube root of 6^2 - 2 = cube root 36 - 2 = 1.3019
2 * f(3) = 2 * (cube root of 3^2 - 2 ) = 2 * (cube root of 9 - 2) = 0.1602
So False,
Answer:
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Step-by-step explanation:
