Step-by-step explanation:
inverse means that x becomes y and y becomes x.
the domain (x) of f(x) is -6 <= x <= 4
the range (y) of f(x) is 1 <= y <= 4
for the inverse now
the domain is 1 <= x <= 4
the range is -6 <= y <= 4
so you start the graph at x = 1 and y = -6.
that connects with x = 2 and y = 1.
and that connects straight vertically up with x = 2 and y = 4.
that connects with x= 3 and y = 0.
and that connects with x = 4 and y = -1.
and that connects straight vertically down with x = 4 and y = -4.
when you look at the graph this is just reversing x and y. what was input before (x) is now result (y), and what was result before is now input.
it also tells us that the inverse is not a function, because here a single x value has in some cases (x = 2 and x = 4) multiple different y values associated (y = 1..4 and y = -1..-4).
Range is the area of variation between the highest and lowest values, basically the highest value - the lowest value a low range would indicate that the variation is minimal thus that the measurement tool is accurate.
Good luck, hope this helps.
Answer:
Part 1)
Part 2)
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
Part 1) Find the area
we know that
The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle
so
we have that the base and the height of triangle is equal to the radius of the circle
substitute
simplify
Factor 36
Part 2) Find the perimeter
The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle
The circumference of a quarter of circle is equal to
substitute the given values
Applying the Pythagorean Theorem
The hypotenuse of right triangle is equal to
simplify
Find the perimeter
simplify
Factor 6
Answer:
10
Step-by-step explanation:
Use PEMDAS to rewrite the equation as:
m - (2 * n) + 2 =
16 - (2 * 4) + 2 =
16 - 8 + 2 =
10
Pj = prop jet speed
pp = private plane speed
pj is 2.5 times faster than pp, therefore
A) pj = 2.5*pp
B) pj = 2*pp + 60
Substituting equation A into B
B) 2.5*pp = 2*pp +60
.5 * pp = 60
Private Plane travels at 120 mph
Prop jet = 2.5 * private plane = 300 mph