Michael ate 6 bananas. This represents

Mathematics

1 answer:

pychu [463]2 years ago

5 0

Answer:

2.4

Step-by-step explanation:

40 percent * 6 =

(40:100)* 6 =

(40* 6):100 =

240:100 = 2.4

Now we have: 40 percent of 6 = 2.4

Question: What is 40 percent of 6?

Percentage solution with steps:

Step 1: Our output value is 6.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$6=100\%$.

Step 4: Similarly, $x=40\%$.

Step 5: This results in a pair of simple equations:

$6=100\%(1)$.

$x=40\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{6}{x}=\frac{100\%}{40\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{6}=\frac{40}{100}$

$\Rightarrow x=2.4$

Therefore, $40\%$ of $6$ is $2.4$

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Algebraically find the inverse of a function

Savatey [412]

9514 1404 393

Answer:

1) f⁻¹(x) = 6 ± 2√(x -1)

3) y = (x +4)² -2

5) y = (x -4)³ -4

Step-by-step explanation:

In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.

1) x = f(y)

x = (1/4)(y -6)² +1

4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4

±2√(x -1) = y -6 . . . . square root

y = 6 ± 2√(x -1) . . . . inverse relation

f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form

3) x = √(y +2) -4

x +4 = √(y +2) . . . . add 4

(x +4)² = y +2 . . . . square both sides

y = (x +4)² -2 . . . . . subtract 2

5) x = ∛(y +4) +4

x -4 = ∛(y +4) . . . . . subtract 4