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3 years ago

What is 2466 divided by 3

Mathematics

2 answers:

Romashka-Z-Leto [24]3 years ago

7 0

2466/3 is equal to 822.

NemiM [27]3 years ago

5 0

The answer is 822

Hope this helped :)

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I NEED HELP WITH QUESTION PLEASE!! What is the inverse of f(x) (x) = (x-4)² for x ≥ 4?

goblinko [34]

Answer:

4th choice $\bold{f^{-1}(x) = \sqrt{x} + 4}$

Step-by-step explanation:

Definition of the inverse of a function

A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing. We can write this in terms of the composition of f and g as g(f(x))=x. The domain of f becomes the range of g and the range of f becomes the domain of g

To solve for the inverse of the function $f(x) =\left(x-4\right)^2$

Let $y=\left(x-4\right)^2$

$\mathrm{Replace}\:x\:\mathrm{with}\:y$ $\text{ and replace }\:y\:\mathrm{with}\:x$

$x=\left(y-4\right)^2$

Switch sides
$\left(y-4\right)^2=x$

Take square roots on both sides
$y-4=\pm\sqrt{x}$

Add 4 on both sides to solve for y

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

We have two solutions

$y=\sqrt{x}+4,\:y=-\sqrt{x}+4$

To determine which one of these to be chosen not that in the given choices we can eliminate the first two since x cannot be negative

The third choice can also be eliminated since
$-\sqrt{x} + 4$ is a decreasing function for $x \ge 0$

So the last answer choice is correct and the inverse of $f(x) = (x-4)^2$

is given by $f^{-1}(x) = \sqrt{x} + 4$

Answer:4th choice $\bold{f^{-1}(x) = \sqrt{x} + 4}$

Note

Domain of (x-4)² is [4, ∞) since x ≥ 4 and (x-4)² cannot be negative

Range of (x-4)² is [0, ∞)

Domain of $\sqrt{x}\:+\:4$ is [0, ∞)

Range of $\sqrt{x}\:+\:4$ is [4, ∞)

so indeed the domain of (x-4)² has become the range of $\sqrt{x}\:+\:4$ and the range of (x-4)² has become the domain of $\sqrt{x}\:+\:4$

5 0

1 year ago

What is the product of 0.378x100,000

polet [3.4K]

Step-by-step explanation:

$0.378 \times 100, 000 \\ = 37 800$

5 0

3 years ago

the perimeter of a scalene triangle is 14.5 cm. the longest side is twice that of the shortest side. which equation can be used

madreJ [45]

Let a = longest side (Establishing labels)
let b = shortest side
let c = third side

P = 14.5 (Given)
a = 6.2
b = 1/2(a)

P = a + b + c
P = 6.2 + 3.1 + c (Fill in given info in equation)

P = 9.3 + c (Simplify)

14.5 = 9.3 + c (Simplify)

c = 14.5 - 9.3 (Solve)
c = 5.2

Hope this made sense!

5 0

3 years ago

Read 2 more answers

6th grade math ! Help me pleaseee

Maksim231197 [3]

Answer:

$9.99

Step-by-step explanation:

To find the cost of 1 pizza pie, divide the total cost by 5

49.95 ÷ 5 = $9.99

3 0

3 years ago

Read 2 more answers

if on a scale drawing 35 feet are represented by 25 inches, then a scale of 1/8 inch represents how many feet?

kirill115 [55]

Answer:

7/40 feet

Step-by-step explanation:

Solve using proportions:

$\frac{25in}{35ft} =\frac{1/8 in}{?ft}$

Find the scale factor by dividing the numerators 25 by 1/8.

25 ÷ 1/8 = 200 This is the common ratio

To get from the top left number to the top right number, you divide 25 by 200.

To get from the bottom left number to the bottom right number, you divide 35 by 200.

35 ÷ 200 = 0.175

1/8 of an inch represents 0.175 feet.

To find 0.175 in fraction form, reduce 35/200 to its lowest terms.

35/200 = 7/40

1/8 of an inch represents 7/40 feet.

8 0

3 years ago