All categories

3 years ago

A hot air balloon is descending at a rate of 287 feet per minute.

Mathematics

1 answer:

faust18 [17]3 years ago

8 0

Answer:

Please check the explanation.

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the rate of change or slope

b is the y-intercept

A hot air balloon is descending at a rate of 287 feet per minute.

Thus, the rate of change m = -287

The negative sign indicates that a hot air balloon is descending.

Let y be elevation.

Let x be the time (in minutes)

As there is no mentioning of the initial height.

Thus, the y-intercept b = 0

now substituting m = -287 and b = 0

y = mx + b

y = -287x + 0

y = -287x

In order to determine the total change in elevation of the balloon in 4 minutes, we need to substitute x = 4 in the equation y = -287x.

Thus, the total change in elevation of the balloon in 4 minutes will be:

y = -287x

y = -287(4)

y = -1148 feet

The negative sign indicates that that the elevation is decreasing.

You might be interested in

Factor the polynomial function over the complex numbers. f(x)=x^4-x^3-2x−4 Enter your answer in the box. f(x) = The answer is: (

Vladimir79 [104]

Answer:

Factors: $(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0$

Step-by-step explanation:

We are given a polynomial:

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

We have to factor the given polynomial into its complex factors.

The factorization can be done as follows:

$f(x)=x^4-x^3-2x-4 = 0\\x^4-x^3-2x-4 = 0\\x^4-4-x^3-2x=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^4-4)-(x^3+2x) = 0\\(x^2+2)(x^2-2)-x(x^2+2) = 0\\(x^2+2)(x^2-2-x) = 0\\(x^2+2)(x^2-x-2) = 0\\(x^2+2)(x^2-2x-+x-2) = 0\\(x^2+2)((x(x-2)+1(x-2))=0\\(x^2+2)(x+1)(x-2)=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^2-(\sqrt{-2})^2)(x+1)(x-2)=0\\(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0$

8 0

3 years ago

Lian is deciding which of two gyms to join. Each gym charges a monthly rate plus a one-time membership fee. Lian correctly wrote

lapo4ka [179]

The resulting equation 75 = 75 is an identity; this tells that the two equations of the system are equivalent, this is they both represent the same function. So, Lian can conclude that (option c) both gyms charge the same monthly rate and the same membership fee<span>.</span>

3 0

4 years ago

Read 2 more answers

____ more than 3455 is two hundred seventy -eight thousand five hundred eighty three

Pavlova-9 [17]

278, 538 is the answer

3 0

3 years ago

Read 2 more answers

The jars of paint in the art room have different amounts of paint.the green paint jar is 4/8 full. The purple paint jar is 4/6 f

ruslelena [56]

The green paint is less full

8 0

4 years ago

Frank,Leah and tom play a trivia game. Frank's score is -2. Leah's scare is 3/4 of Frank's scare. Tom's scare is 2/3 of Leah's s

coldgirl [10]

3/4 - 2/3

3/4 × 3 = 9/12
2/3 × 4 = 8/12

9/12 - 8/12 = 1/12

Tom's score is 1/12 because in order to find his score, you'll have to subtract. So you have to subtract 3/4 - 2/3 but you can't subtract it since they don't have a common denominator. What you have to do to find the common denominator is to find the least common denominator by finding a multiple of 4 and 3. I know that 4 × 3 = 12 and 3 × 4 = 12, so that is gonna be my denominator. Now, we just have to multiply 3/4 by 3 and 2/3 by 4 and we have the answers of 9/12 and 8/12. Now I can subtract. 9/12 - 8/12 is gonna equal 1/12. This shows how I got my answer of 1/12.

6 0

3 years ago