Consider the following functions. f=[(-1,1),(1,-2),(3,-4) and g=[(5,0),(-3,4),(1,1),(-4,1)} Find (f-g)(1) =
Vilka [71]
The difference between the functions give:
(f - g)(1) = f(1) - g(1) = -3
<h3>
How to find the difference between the functions?</h3>
For two functions f(x) and g(x), the difference is defined as:
(f - g)(x) = f(x) - g(x).
Then:
(f - g)(1) = f(1) - g(1)
By looking at the given tables, we know that:
f(1) = -2
g(1) = 1
Replacing that we get:
(f - g)(1) = f(1) - g(1) = -2 - 1 = -3
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Answer:
Step-by-step explanation:
Equation
3x + 9 + 2x = x - 2x - 3
Solution
Combine all the like terms.
3x+2x+9 = x - 2x - 3
5x + 9 = -x - 3 Add x to both sides of the equation
5x+x +9 = -x+x -3 Combine
6x + 9 = - 3 Subtract 9 from both sides of the equation
6x+9-9 = - 3-9 Combine
6x = -12 Divide both sides by 6
6x/6 = -12/6
x = - 2
Answer x = - 2
Answer:
28/155
Step-by-step explanation:
To find people who do use the waterslide and/or the sauna subracter 43 from 155 to get 112.
To find the people who only use the sauna subtract 97 from 112 to get 15.
To find people who use both the waterslide and the sauna subtract 15 from 43 to get 28.
The probability of a person who uses both the waterslide and the sauna is 28/155.
Answer:
Lateral surface area of can = 47 inch² (Approx.)
Step-by-step explanation:
Given:
Diameter of given can = 3 inches
Height of given can = 5 inches
Find:
Lateral surface area of can
Computation:
Radius of can = 3 / 2 = 1.5 inch
Lateral surface area of can = Lateral surface area of cylinder
Lateral surface area of cylinder = 2πrh
Lateral surface area of can = 2πrh
Lateral surface area of can = 2(3.14)(1.5)(5)
Lateral surface area of can = 47.1
Lateral surface area of can = 47 inch² (Approx.)
Answer:
Step-by-step explanation:
slant height is given. Using Pythagorean theorem to find height.
h² = 10² - 5²
= 100 - 25
h² = 75
h = √75
h = 8.66 cm
Volume =(1/3)πr²h
= 226.62 cubic cm