Answer:
F(x) and g(x) are not inverse functions.
Step-by-step explanation:
In order to calculate the inverse function of a function, we have to isolate X and after that, we change the variables.
As our function f(x) is a exponentian function, we can apply logarithm with base 10 (log) in both sides in order to isolate X. Remember that log10=1.
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Now we change the variables.
F(x) and g(x) are not inverse functions.
The expressions that simplifies to 41 are:
a) 10 + 2³ * 4 - 1
d) 10 + (2³ * 4) - 1
Information about the problem:
a) 10 + 2³ * 4 - 1
b) 10 + 2³ * (4 - 1)
c) (10 + 2³) * 4 - 1
d) 10 + (2³ * 4) - 1
We solve the equations respecting the level of hierarchy:
a) 10 + 2³ * 4 - 1
10 + 8*4 - 1
10 + 32 - 1
42 - 1
41 (it applies)
b) 10 + 2³ * (4 - 1)
10 + 8 * (3)
10 + 24
34 (it doesn't applies)
c) (10 + 2³) * 4 - 1
(10 + 8) * 4 - 1
18*4 - 1
72 - 1
71 (it doesn't applies)
d) 10 + (2³ * 4) - 1
10 + (8*4) - 1
10 + 32 -1
42 - 1
41 (it applies)
<h3>What are algebraic operations?</h3>We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
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Juanita and Keenan ordered 85 flashlights and 17 sleeping bags.
Step-by-step explanation:
Given,
Cost of each flashlight = $12
Cost of each sleeping bag = $45
Total cost = $1785
Let,
x represent the number of flashlights ordered
y represent the number of sleeping bags ordered
According to given statement;
12x+45y=1785 Eqn 1
x = 5y Eqn 2
Putting value of x from Eqn 2 in Eqn 1
Dividing both sides by 105
Putting y=17 in Eqn 1
Juanita and Keenan ordered 85 flashlights and 17 sleeping bags.
Keywords: linear equation, substitution method
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