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zhannawk [14.2K]
3 years ago
12

Let f(x) = log3(x) and g(x) = 3x.

Mathematics
1 answer:
QveST [7]3 years ago
5 0

Answer with Step-by-step explanation:

We are given that

f(x)=log_3(x)

g(x)=3x

a.We have to find g(f(x))

g(f(x))=g(log_3(x))

g(f(x))=3log_3(x)

b.We can see that

f(x) is logarithm function and g(x) is linear function.

But , the composition function gof(x) is also logarithmic function.

The composition function gof(x) is 3 times the function f(x).

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For five mathematics tests, your scores were 81, 86, 81, 76, 71. what was your average score?
trasher [3.6K]

add them together then divide by 5

81 +86 +81 +76 +71 = 395

395/5 = 79

 your average was 79

7 0
3 years ago
The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.
mestny [16]

Answer:

Area = 370 m²

Cost to paint = £105

Step-by-step explanation:

Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)

Area of a trapezoid = \frac{1}{2}(b_1+b_2)h

where b_1 and b_2 are the parallel sides and h is the distance between these sides.

Area of trapezoid (1) = \frac{1}{2}(11+12)\times 6

                                  = 69 m²

Area of the rectangle (2) = Length × Width

                                         = 12 × 15

                                         = 180 m²

Area of the trapezoid (3) = \frac{1}{2}(12+10)\times 11

                                         = 121 m²

Now area of the wall = 69 + 180 + 121

                                   = 370 m²

One tin covers the area = 25 m²

Number of tins required to paint the wall = \frac{\text{Total area}}{\text{Area covered by one tin}}

= \frac{370}{25}

= 14.8

Therefore, number of tins to be purchased = 15

Cost to paint the complete wall = 15 × £7

                                                       = £105

8 0
3 years ago
The figure is a cylinder with a sphere within it.
Alenkinab [10]
Hey the answer is 2713 cm
4 0
3 years ago
Read 2 more answers
NEED HELP ASAP!!
Kaylis [27]

Answer:

20²+21² = x²

841= x²

x= 29

nearest tenth = 30

4 0
3 years ago
Read 2 more answers
Answers for both boxes please for 25 points!​
MrRa [10]

Answer:

Step-by-step explanation:

you just need to add both equations

you will get 3y=12+6=18

3y=18

y=6

now replace y=6

3x+12=6

3x=6-12

3x=-6

x=-2

(-2,6)

5 0
3 years ago
Read 2 more answers
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