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3 years ago

Which table represents a linear function?

Mathematics

2 answers:

IgorLugansk [536]3 years ago

7 0

Answer:

1 i think sorry if not

Step-by-step explanation:

Margarita [4]3 years ago

6 0

For this case, what you should know is that a linear function has a constant average rate of change, because its slope is constant.
Table number two from left to right represents a linear function.
The line is:
y-yo = m (x-xo)
Where
The slope is:
m = (0 - (- 5)) / (2-1)
m = 5/1
m = 5
The line is:
y-0 = 5 (x-2)
Rewriting:
y = 5x-10
Answer:
Table two from left to right.
The equation is:
y = 5x-10

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The question is in the picture.

dangina [55]

Let's denote no of seats in first row with r1 , second row with r2.....and so on.

r1=5

Since next row will have 10 additional row each time when we move to next row,

So,

r2=5+10=15

r3=15+10=25

<u>Using the terms r1,r2 and r3 , we can find explicit formula</u>

r1=5=5+0=5+0×10=5+(1-1)×10

r2=15=5+10=5+(2-1)×10

r3=25=5+20=5+(3-1)×10

<u>So for nth row,</u>

rn=5+(n-1)×10

Since 5=r1 and 10=common difference (d)

rn=r1+(n-1)d

Since 'a' is a convention term for 1st term,

which is an explicit formula to find no of seats in any given row.

Using above explicit formula, we can calculate no of seats in 7th row,

r7=5+(7-1)×10

r7=5+(7-1)×10 =5+6×10

r7=5+(7-1)×10 =5+6×10 =65

which is the no of seats in 7th row.

8 0

3 years ago

What is half of 2/3 an

jek_recluse [69]

Answer:

0.3333

Step-by-step explanation:

6 0

3 years ago

#2 - find the value of X. Write answer in simplest form.

Alekssandra [29.7K]

2 times the square root of 5 . that’s what i got .

5 0

3 years ago

The repeating decimal number 8.2151515... written as a fraction is

Blababa [14]

Closest would be 8 43/200

4 0

3 years ago

The Surface Area of a square pyramid is 3600 ft. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cu

amm1812

Answer:

10,583 flexible cubes

9915 rigid cubes

Step-by-step explanation:

The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height

Surface area = A + 1/2·p·s

The volume of the pyramid = 1/3×A×h

Where:

A = Area of the base = 20 × 20 = 400 ft²

h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)

h = √(80² - (20/2)²) = 30·√7

The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³

If the cubes are flexible, approximately 10,583 cubes

For rigid cubes we have

Given that the height of the pyramid = 30·√7

The slope of the pyramid = 30·√7/10 = 3·√7

So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)

The bottom can hold 400 cubes

The next layer can hold 19×19 = 361

3rd 361

4th 361

5th 324

6th 324

7th 324

8th 324

9th

Continuing, we get a total of about 9915 rigid cubes in the pyramid.

3 0

3 years ago