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3 years ago

Find the inverse (pre-calc)

Mathematics

1 answer:

denis-greek [22]3 years ago

8 0

Answer:

f^(-1)(x) = e^(x/3)

Step-by-step explanation:

1. Replace 'f(x)' by 'y:' y = 3ln x

2. Interchange x and y: x = 3ln y => x/3 = ln y

3. Solve for y:

e^(x/3) = y

4. Replace this 'y' with 'f^(-1)(x)'

Then f^(-1)(x) = e^(x/3)

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What is 28 over 35 reduced to

USPshnik [31]

We can simplify by 7

28/7 = 4
35/7 = 5

Answer- 4/5

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3 years ago

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A gift bag is shaped like a rectangular prism and has a volume of 1152 cubic inches. The width of the bag is w, the length is 2w

Dafna11 [192]

1. You must use the formula for calculate the volume of a rectangular prism, which is:

V=(h)(l)(w)

V: It is the volumen of the rectangular prism (V=1152 inches³).
h: It is the height of the rectangular prism (h=18-w).
l:It is the lenght of the rectangular prism (l=2w+4).

2. When you substitute these calues into the formula, you obtain:

V=(h)(l)(w)
1152=(18-w)(2w+4)(w)
(18-w)(2w+4)(w)-1152=0

3. Then, you should mutiply them:

36w²-2w³+72w-4w²-1152=0
32w²-2w³+72w-1152=0

4. When you factor, you obtain:

2(w-16)(w-6)(w+6)

w1=16
w2=6
w3=-6

5. The problem says that the height is greater than the width, therefore, the widht is:

w=6 inches

6. The length is:

l=2w+4
l=2(6)+4
l=16 inches

7. And the height is:

h=18-w
h=18-6
h=12 inches

What are the dimensions of the bag?

The dimensions of the bag are:

l=16 inches
h=12 inches
w=6 inches

8 0

3 years ago

Una tienda virtual ofreció el 15% de descuento el dia de su aniversario.ese dia Jorge compro una lavadora que regularmente cuest

makvit [3.9K]

Answer:

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Step-by-step explanation:

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3 years ago

Ramiro buys 50 packs of candy bars for $40 before a tax of 7.5%. He sells each candy var for 175% of what he paid before tax. ho

Zepler [3.9K]

Answer:

Cost price of each candy = $0.80, Selling price of each candy = $1.40

Step-by-step explanation:

Given:

Ramiro buys 50 packs of candy bars for $40 before a tax of 7.5%.

He sells each candy var for 175% of what he paid before tax.

Question asked:

How much does he buy each candy bar for ?

How much does he sell one for ?

Solution:

<u>By unitary method:</u>

Cost of 50 packs of candy bars = $40

Cost price of 1 pack of candy bars = $\frac{40}{50} =\$0.8$

Cost price of each candy = $0.80

Thus, he buy each candy bar for $0.80

Now:-

As he sells each candy var for 175% of what he paid before tax:-

Selling price of each candy = 0.80 $\times$ 175%

= $0.80\times\frac{175}{100} =\frac{140}{100}=\$1.4$

Thus, he sell one candy for $1.40

3 0

4 years ago

EASY MATH PROBLEM PLEASE SOLVE

Anit [1.1K]

The answer to this is the angles are complementary.

complementary means two angles that equal to 90 degrees. since 59 and 31 equal to 90, they are complementary

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3 years ago

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