The path of a roller coaster after it has reached the top of the first hill follows a polynomial function as shown in the graph below....
The path of a roller coaster after it has reached - 1

Answers

Answer 1
Answer: The interval that f(x) is increasing is the distance from 200 to 300.
The minimum value of f(x) in the interval 0<x<300 is 200.
At a value of 500, the value of f(x) is 0.
The function can't be a quadratic function since there are two points in the graph where f(x) changes its rate from increasing to decreasing or the opposite. A quadratic function has only one of that point.
Answer 2
Answer: Hello there.

The path of a roller coaster after it has reached the top of the first hill follows a polynomial function as shown in the graph below....

Option A

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f sine of x equals square root of 2 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.

Answers

Sin(x) = opposite over hypotenuse 
Cos(x) = adjacent over hypotenuse
Tan(x) = opposite over adjacent

Everything revolves around a right triangle.
From the given equation, "sine of x equals square root of 2 over 2"

Opposite = square root of 2
Hypotenuse = 2
Adjacent = ?

Using the Pythagorean Equation: H^2 = O^2 + A^2
2^2 = (square root of 2)^2 + A^2
A^2 = 4 - 2
A = square root of 2

Cos(x) = square root of 2 over 2
Tan(x) = square root of 2 over square root of 2 = 1

a boat travels 45 minutes at a speed of 8 mph. then the boat travels 1.5 times faster for 1/3 hr. how many miles do the boat travel in all. need help ASAP!!!

Answers

Answer:

10 miles

Step-by-step explanation:

45/60 x 8 = 6 miles

8 x 1.5 = 4 miles

Now, add the two products together.

6 + 4 = 10 miles.

The boat traveled 10 miles in total.

Which is bigger, 40% of 180 or ¼ of 320?

Answers

'of' in mathematics means multiplication.


40% of 180 means 40/100 * 180

40/100 * 180
= 0.40 * 180
= 72

1/4 of 320 means 1/4 * 320

1/4 * 320
= 320/4
= 80

40% of 180 is 72
1/4 of 320 is 80

1/4 of 320 is bigger than 40% of 180

You could also say that as:

1/4 of 320 is greater than 40% of 180.

A loan of P500,000 was signed by Liza who promised to pay it at the beginning of each month for 5 years. If money is worth 12% compounded monthly, what will be the total sum paid by Liza?

Answers

Answer:

3,604,389

Step-by-step explanation:

Monthly payment P = (a)/([(1+r)^(n) - 1] / [r(1+r)^(n)] )

where a = total loan amount, r = periodic rate, n = number of payment periods

a = 500,000 ; r = 0.12 ; n = (5 x 12) = 60 months

P = (500000)/([(1+0.12)^(60) - 1] / [0.12 (1+0.12)^(60) ] )

P = (500000)/((896.597) / (107.712))

p = 60,073.151

Total amount paid = 60073.151 x 60 = 3,604,389

Which of these is a simplified form of the equation 7y + 8 = 9 + 3y + 2y?7y = 6
2y = 1
12y = 17
5y = 17

Answers

put same forms to each sides
7y -5y = 9 - 8
2y = 1

Answer:

2y=1

Step-by-step explanation:

7y + 8 = 9 + 3y + 2y

WE need to simplify it, try to get variable on one side and constant on the other side

7y + 8 = 9 + 3y + 2y

first we combine like terms

3y+2y is 5y

7y + 8 = 9 + 5y

Now to get y terms on one side we subtract 5y from both sides

7y -5y + 8 = 9 + 5y-5y

2y +8 = 9

Now we subtract 8 from both sides

2y +8 -8 = 9-8

2y= 1

Find the product. x 3(x 2 5x 1) x 6 5x 4 x 3 x 5 5x 4 x 3 x 5 5x 3 x 3

Answers

x^(3) ( x^(2) +5x+1)= x^(5) +5 x^(4) + x^(3)