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elixir [45]
2 years ago
14

Mike read 1/4 of the newspaper in 1/3 of an

Mathematics
1 answer:
gavmur [86]2 years ago
8 0
An hour and twenty minutes
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Given that f(x)=2x/3 evaluate f^-1(6)
abruzzese [7]

Answer:

9

Step-by-step explanation:

we know by definition that

f^{-1}(f(x))=x\\\\f^{-1}(\frac{2x}{3})=x\\\\f^{-1}(x)=ax\\\\f^{-1}(\frac{2x}{3})=a(\frac{2x}{3})=x\\\\f^{-1}(x)=\frac{3x}{2}

so now we evaluate

f^{-1}(6)=\frac{3*6}{2}\\\\=3*3\\\\f^{-1}(6)=9

and if we want to do an extra step

f^{-1}(f(6))=6\\\\f^{-1}(\frac{2*6}{3})=f^{-1}(4)=\frac{3*4}{2}=6

which works.

4 0
2 years ago
0= -115<br> sin=<br> cos =<br> tan
Alina [70]

Answer:

Step-by-step explanation:

Tito wants to buy some peanut butter to donate as much as possible.

There some brands are given with their price.

we will calculate the price of per ounce peanut butter of each brand.

A. Nutty : 12 ounces for $2.19

cost per ounce =

                        = $0.1825 ≈ $0.18 per ounce

B. Grandma's : 18 ounces for $2.79

cost per ounce =

                        = $0.155 ≈ $0.16 per ounce

C. Bee's : 0.28 ounces for $4.69

cost per ounce =

                        = $16.75 per ounce

D. Save-A-Lot : 40 ounces for $6.60

cost per ounce =

                        = $0.165 ≈ $0.17 per ounce

The lowest price is $0.16 per ounce. So he should buy Grandma's peanut butter.

8 0
2 years ago
Convert 3,124 meters to kilometers (1 kilometer =1000 meters)
Mrac [35]

Answer:

3.124 kilometers

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The value of X2 + 6x + 9 for x =4 is​
klasskru [66]

Answer:

41

Step-by-step explanation:

putting x into the eqn

7 0
2 years ago
Read 2 more answers
If m∠A =91° and m∠B = 40°, find m∠1.
marusya05 [52]

Answer:

m∠1 is calculated as 49°.

Step-by-step explanation:

Consider the angles are the interior angles of a triangle.

                      m∠A =91°

                      m∠B = 40°

                      m∠1  = ?

We know that the sum of interior angles of a triangle is 180°. So,

                          m∠A + m∠B + m∠1 = 180°

                      or, m∠1 = 180°- m∠A - m∠B

                      or, m∠1 = 180°- 91° - 40°

                      or, m∠1 = 49°

Hence, m∠1 = 49°.

7 0
3 years ago
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