MATHEMATICS HIGH SCHOOL

Choose the symbol that will create a true sentence when m=20.100 - 2m___3m
a >
b =
c <
d ≤

Answers

Answer 1
Answer: 100-2(20)=60
3(20)=60

B. =
Answer 2
Answer:    100 - 2m = 3m
100 - 2(20) = 3(20)
    100 - 40 = 60
             60 = 60
The answer is equal to B.

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What is 30% of $450????????????????????????????????????

Answers

multiply .3 with 450 and you will get $135.

The area of a playground is 216 yd^2. the width of the playground is 6 yd longer than its length find the length and width.A. length=18, width=12
B. length=12, width=18
C. length=18, width=24
D.length=24, width=18

Answers

Answer: B. length=12, width=18

Step-by-step explanation:

Let x = Length of the playground then width = x+6

Area of a rectangular playground = Length x width

Since , area of playground = 216\ yd^2.

Then , we have

216=(x)*(x+6)\n\n\Rightarrow\ x^2+6x\n\n\Rightarrow\ x^2+6x-216=0\n\n\Rightarrow\ x^2+18x-12x-216=0\n\n\Rightarrow\ x(x+18)-12(x+18)=0\n\n\Rightarrow\ (x-12)(x+18)=0\n\n\Rightarrow\ x=12\text{ or }x=-18

But length cannot be negative , so reject x= -18 .

Thus , the length of playground = 12 yd

Then , width = 12+6 = 18 yd

Hence, the correct answer is B. length=12, width=18
Let the length of the playground be x, then the width is 6 + x.
Area = length * width = x * (6 + x) = 6x + x^2 = 216

Solving the quadratic equation x^2 + 6x - 216 = 0, we have x = 12 or -18

i.e length = 12 and width = 6 + 18 = 18

What is (4x-2)*6(2x+7) in quadratic expression

Answers

48x^2+144x-84 is your answer :)

The height (in feet) of punted football is a function of the time the ball is in the air. The function is defined by h(t) = - 7t ^ 2 + 48t . What is the height of the football after 4 seconds?

Answers

The height of the football after 4 seconds is 80 feet

The height in feet of the punted football is a function of time the ball is in the air.

The function is represented as follows:

h(t) = -7t² + 48t

The height of the football after 4 seconds can be calculated as follows:

h(t) = -7t² + 48t

where

t = 4 seconds

Therefore,

h(4) = 7(4)² + 48(4)

h(4) = -7(16) + 192

h(4) = -112 + 192

h(4) = 80 feet

learn more about function: brainly.com/question/23136370?referrer=searchResults

Answer:

The height of the football after 4 seconds is 80 feet.

Step-by-step explanation:

You know that the height (in feet) of punted football is a function of the time the ball is in the air and it is defined by:

h(t) = -7*t²+48*t

To calculate the height of the ball after 4 seconds, you must replace the time t by the time of 4 seconds:

h(4) = -7*4²+48*4

Solving, you get:

h(4) = -7*16+48*4

h(4) = -112+192

h(4)= 80

The height of the football after 4 seconds is 80 feet.

Find f (g (x)) if f(x)=sqrtx+8; g (x)=8x-12

Answers

f(g(x)) = f(8x-12)

f(8x-12) = √((8x-12) +8) = √(8x -12 + 8) = \boxed{√(8x -4)}

A 6 sided die numbered 1 to 6 is rolled . Find the probability that in the roll of the results is an odd number or less than 4

Answers

Answer:

4/6 or 66%

Step-by-step explanation:

Odd numbers from 1 to  6 are: 1, 3, 5

Numbers less than 4 are: 1, 2, 3

So there are  4/ 6 possible outcomes.

So the probability is 4/6 or 66%.
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