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3 years ago

Subtract 45 from 16 raised to the 6th power; then multiply by 3.

Mathematics

1 answer:

Nataly [62]3 years ago

5 0

(16^6-45) 3
(16,777,216-45) 3
(16,777,171) 3
50,331,513

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Help me please!

telo118 [61]

Answer:

$f^{-1}(6) = 50$

Step-by-step explanation:

Given

$f(x) = \sqrt{2x} - 4$

Required

Find $f^{-1}(6)$

First, we calculate the inverse function

$f(x) = \sqrt{2x} - 4$

Express f(x) as y

$y = \sqrt{2x} - 4$

Swap the positions of x and y

$x = \sqrt{2y} - 4$

Solve for y: Add 4 to both sides

$4 + x = \sqrt{2y} - 4+4$

$4 + x = \sqrt{2y}$

Square both sides

$(4 + x)^2 = 2y$

Divide both sides by 2

$y = \frac{(4 + x)^2}{2}$

Express y as an inverse function

$f^{-1}(x) = \frac{(4 + x)^2}{2}$

Next, solve for: $f^{-1}(6)$

Substitute 6 for x

$f^{-1}(6) = \frac{(4 + 6)^2}{2}$

$f^{-1}(6) = \frac{(10)^2}{2}$

$f^{-1}(6) = \frac{100}{2}$

$f^{-1}(6) = 50$

7 0

3 years ago

How many 2-digit numbers are multiples of 7 or 5

wolverine [178]

Answer:

Use the prime factorization:

7 * 5 * 1 = 35

7 * 5 * 2 = 70

4 0

3 years ago

Does 2 and 12 have a least common multiple of 24

vova2212 [387]

Answer:

Least common multiple (LCM) of 12 and 24 is 24.

Step-by-step explanation:

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3 years ago

What are the coefficients and constants in 4-4y+y-3

Aleks04 [339]

Constants are 4,3. The coefficient is 4.

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Sequences of Transformations

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