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Tanya [424]
3 years ago
6

It's not fair :( but I wont tell u

Mathematics
1 answer:
ddd [48]3 years ago
5 0

Answer:

whats not fair?

Step-by-step explanation:

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In a designated VIP seating section there must be an odd number of seats in each row and each row must have two more seats than
Vikki [24]

Let n be the total number of rows and there are x seats is the 1st row where x is an odd natural number.

As each row must have 2 more seats than the one before it, so

Number of seats in 2nd row = x+2

Number of seats in 3rd row = x+2+2=x+2x2

Number of seats in 4th row = x+2+2+=x+2x3

Similarly, the number of seats in (n-1)th row =x+2x(n-1)

the number of seats in n^{th} row, i.e last row  =x+2x n.

As the front row must have one-quarter of the total seats in the back 2 rows combined, so

x =\frac 1 4 ( x+2\times(n-1) + x+2\times n) \\\\\Rightarrow 4x=2x+4n-6 \\\\\Rightarrow 4x-2x=4n-6 \\\\\Rightarrow 2x=4n-6 \\\\\Rightarrow x=2n-3\cdots(i)

So, the number of seats in the 1st row, x, and the total number of seats, n, must satisfy the equation (i).

For x>0, n\geq 3.

So, for n=3 rows

The number of seats in the 1st row, x= 2x3-3=3.

The number of seats in the 2nd row, = 3+2=5 as in subsequent rows, there will be 2 more seats.

and the number of seats in the 3rd row (last row)=5+2=7.

n can have any integral values satisfying  n\geq 3.

3 0
3 years ago
Write the slope-intercept form of the equation of the line passing through the point (5, 5) and perpendicular to the line y = 4/
timofeeve [1]

Answer:

y = -9/4x + 16 1/4

Step-by-step explanation:

lmk if you want an explanation

5 0
3 years ago
Decide whether it’s a Function or not
cupoosta [38]
1=function
2=not function
3=not function
4=function
8 0
2 years ago
Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.
Lina20 [59]

Answer:

44

Step-by-step explanation:

Given:

f(x) = 4x^2 - 3

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

f(3) = 4(3)^2 - 3

f(3) = 4(9) - 3

f(3) = 36 - 3

f(3) = 33

To find f(9), replace x with 9 in the given function

f(9) = 4(9)^2 - 3

f(9) = 4(81) - 3

f(9) = 324 - 3

f(9) = 321

Average rate of change = \frac{f(b) - f(a)}{b - a}

Where,

a = 3, f(a) = 33

b = 9, f(b) = 321

Plug in the values into the formula for average rate of change.

= \frac{321 - 33}{9 - 3}

= \frac{288}{6}

= 44

Average rate of change = 44

3 0
3 years ago
the driveway in front of the brown house is 35 feet long and the driveway of the red house is 7 yards and 9 feet long. which hou
Zigmanuir [339]

Answer:

The brown house has the longer driveway

Step-by-step explanation:

So we would need to convert both of these units of measurements to feet in order to compare them.

  • There are <u>3 feet in 1 yard</u>

Converting yards to feet, wee need to multiply the number of yards by 3

  • 7 yards = 21 feet

Since the red house has a driveway of 7 yards and 9 feet, we can rewrite this to 21 feet + 9 feet, which is equivalent to 30 feet

Now comparing the two driveways, the 35 ft-long brown driveway is 5 feet longer than the 30 ft-long red driveway.

The brown house has the longer driveway

8 0
4 years ago
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