Answer: 2 units left and 3 units up
Step-by-step explanation:
The cost of electricity in a certain city is $0.08 for each of the first 300kWh (kilowatt-hours) and $0.13 for each kilowatt-hou
2 answers:
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Answer:
Step-by-step explanation:
Volume of the figure = Base area * height
Base area:
Base area = area of trpezium + area of triangle
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<u>Trapezium:</u>
a, b area the length of parallel sides and h is the height of trapezium.
a = 8 m ; b = 5 m & h = 3 m
<u>Triangle:</u>
height = 4 m & base = 8 m
Base area = 19.5 + 16
= 35.5 m²
Volume of the figure = Base area * height
= 35.5 * 14
= 497 m³
Answer:
The graph is attached; it is the graph of f(x) = x.
Step-by-step explanation:
Two functions are inverses if their composites form the function f(x) = x.
Take, for example, the function f(x) = 2x-4. We can write this as y=2x-4.
To find the inverse, we isolate x. To do this, first add 4 to each side:
y+4 = 2x-4+4
y+4 = 2x
Divide both sides by 2:
(y+4)/2 = 2x/2
y/2 + 4/2 = x
1/2y + 2 = x
Swap x and y, and the inverse is
y=1/2x+2
This can be written as g(x).
The composite of these two functions, f(g(x)), is:
f(1/2x+2) = 2(1/2x+2)-4
= 2(1/2x)+2(2)-4
=1x+4-4
= x
The composite of two functions is always f(x) = x.
This means the graph will have a slope of 1 and a y-intercept of 0.
