MATHEMATICS HIGH SCHOOL

What is the median of the following numbers?
3.5.6.7,9,6,8

Answers

Answer 1
Answer:

Ascending order= 3,5,6,6,7,8,

Total no of observations= 6 ( even no of observations)

Median= 3,5,6,6,7,8

= 6+6/2= 12/2 = 6

Median= 6

Hope You Understood

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Two functions are shown in the table below.Function 1 2 3 4 5 6
f(x) = −x2 + 4x + 12
g(x) = x + 8
Complete the table on your own paper, then select the value that is a solution to f(x) = g(x).
x = 3
x = 4
x = 5
x = 6

Answers

Given:
f(x) = - x² + 4x + 12
g(x) = x + 8

f(1) = -(1)² + 4(1) + 12 = -1 + 4 + 12 = -1 + 16 = 15
f(2) = -(2)² + 4(2) + 12 = -4 + 8 + 12 = -4 + 20 = 16
f(3) = -(3)² + 4(3) + 12 = -9 + 12 + 12 = - 9 + 24 = 15
f(4) = -(4)² + 4(4) + 12 = -16 + 16 + 12 = -16 + 28 = 12
f(5) = -(5)² + 4(5) + 12 = -25 + 20 + 12 = -25 + 32 = 7
f(6) = -(6)² + 4(6) + 12 = -36 + 24 + 12 = -36 + 36 = 0

g(1) = 1 + 8 = 9
g(2) = 2 + 8 = 10
g(3) = 3 + 8 = 11
g(4) = 4 + 8 = 12
g(5) = 5 + 8 = 13
g(6) = 6 + 8 = 14

f(x) = g(x) when x = 4
f(4) = g(4)
12 = 12

What common side does triangle ABC share with triangle ADC

Answers

Answer:

AC

Step-by-step explanation:

Both ABC and ADC share the same AC side of the triangle.

Solve the equation, check for extraneous solutions x-10= √9x please explain each step with words:)

Answers

x-10 = root 9x |Square both sides |(x-10)squared = 9x |Expand |(X-10) (x-10) = 9x |xsquared -10x -10x +100 =9x |Simplify |x squared -20x + 100 = 9x |-9x from both sides |X squared -29x +100 = 0 |Factorise |(x - 25) (x - 4) = 0 |x = 25 or x = 4

A rectangle has an area of 112 square units. If its width was half as long and its length was 8 times as long, what would be its new area?

Answers

Area (rectangle)=lenght x width
lenght=x
width=y
xy=112 u²

Then
(y/2)(8x)=4xy
Therefore:
xy=112 u²  then  4xy=4(112 u²)=448 u²

answer: the new area would be 448 u²

if the perimeter of the rectangle is 96 feet, what are the length and width of the rectangular section?

Answers

Answer:

length is 39ft

width is 9ft

Step-by-step explanation:

let 6x - 15 be the length and x be the width

the perimeter of a rectangle is 2(L+W)

96 = 2(6x - 15 + x)

96 = 2(7x - 15)

96 = 14x - 30

126 = 14x

x = 9

Length is 6x - 15

6(9) - 15

54 - 15 = 39

P = 3n+3u
i need to solve for n

Answers

p=3n+3u\n\n3n+3u=p\ \ \ /-3u\n\n3n+3u-3u=p-3u\n\n3n=p-3u\ \ \ /:3\n\n3n:3=(p-3u):3\n\nn=(p-3u)/(3)\to n=(p)/(3)-(3u)/(3)\to n=(1)/(3)p-u
3n=3u+p
n=3u+p/3


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