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Mnenie [13.5K]
3 years ago
13

What is the inverse of f(x)? show the work f(x)+3x+5

Mathematics
1 answer:
stealth61 [152]3 years ago
6 0

Answer:

f^-^1(x)=\frac{1}{3}x-\frac{5}{3}

Step-by-step explanation:

To solve for the inverse, we need to switch the variables and solve for y.

Note that f(x) is the same as y or in other words, the output.

f(x) = 3x + 5

y = 3x + 5

~Switch variables

x = 3y + 5

~Subtract 5 to both sides

x - 5 = 3y

~Divide 3 to everything

1/3x - 5/3 = y

~Flip

y = 1/3x - 5/3

Best of Luck!

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3 years ago
Carla is baking brownies for the school bake sale. The batter fills a pan that is 20 cm long by 16 cm wide by 4.4 cm deep.Then,
barxatty [35]

The volume of the first pan is (length x width x depth) =

                                               (20cm x 16cm x 4.4cm) = 1408 cm³ .

The batter fills it, so we know there is 1408 cm³ of batter.

Somehow, Carla manages to transfer every drop and smidgen of batter to
the new pan, leaving not a single drip of it in the first pan.  So we know that
there is 1408 cm³ of batter in the new pan.  It will spread out to fill the whole
length and width of the new pan, and we're to calculate how deep it will be.

                         (length x width x depth)  =  1408 cm³

                       (20cm x 20cm) x (depth)  =  1408 cm³

                                (400 cm²) x (depth)  =  1408 cm³

Divide each side by  400cm² :      depth  =  1408 cm³ / 400cm²

                                                               =  3.52 cm

Since the new pan is 5 cm deep, this works.  The batter doesn't
overfill it and glurb out over the top and all over the counter.

The question asked how far the batter is <em>from the top of the pan</em>.

The pan is        5 cm deep.
The batter is 3.52cm deep.

The batter comes up to (5 - 3.52) = 1.48 cm from the top of the pan.

Rounded to the nearest tenth of a cm, that's  <em>1.5 cm  </em>from the top.

5 0
3 years ago
A solution to a system of linear equations in two variables is an ordered pair that
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Answer:

satisfies both equations in the system.

Step-by-step explanation:

why?

the hint -_-

"Answer: B, satisfies both"

and

A solution to a system of linear equations in two variables is an ordered pair that

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The perimeter of an isocoles triangle is 24cm. What are the lengths of the sides of the triangle?
nataly862011 [7]

Answer:

6in, 6in, 12in.

Step-by-step explanation:

really any 2 lengths that are the same and another one that isnt, however they all have to add up to 24 cm

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3 years ago
Natalie Albert deposited checks totaling $1,735,97 into her savings account. She withdrew $100.00 while
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Anything withdrawn you subtract. Then, you know the total and you know what you had. Subtract total from what you had and you will see the change.

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7 0
2 years ago
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