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Xelga [282]
3 years ago
12

Use the drawing tool(s) to form the correct answer on the provided grid.

Mathematics
2 answers:
vampirchik [111]3 years ago
8 0

Answer:

See attachment

Step-by-step explanation:

Given : Jennifer is on a hiking trip. She begins her hike at an altitude of 4,000 feet, and she is descending with an average speed of 40 feet per minute.

We have to Graph the function that represents the given situation.

Let the y - axis represents the height of Jennifer (in feet) and x axis represents the time (in minutes)

Since initially, Jennifer is at 4000 feet.

and is descending with an average speed of 40 feet per minute.

So when she begins to descend she is at 4000 feet that is y- intercept is 4000.

Then, the equation of graph is given by

y = -40x + 4000

As she is descending at the rate of 40 feet per minute so  -40x

Thus, The graph for the given equation can be drawn as shown below.

also, when x = 100

then y = -40(100) - 4000 = 0

Plot points (0, 4000) , (100,0) to obtain the graph.

solniwko [45]3 years ago
4 0
She is starting at 4000, so that is the y-intercept of the graph. She is descending at 40 feet per minute, so her rate of change or slope is -40. The graph would look like this:

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What is the area of the regular hexagon?
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Answer:

216 \sqrt{3} \: {in}^{2}

Step-by-step explanation:

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Korolek [52]

Given points (-5,-1) and (5,9):
Let (x1,y1) = (-5,-1)
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Use the following distance formula:

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d = √[(5 — (-5))^2 + (9 — (-1))^2]

d = √[(5 + 5)^2 + (9 + 1)^2]

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Add similar elements:

d = √[(10)^2 • 2]

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Evaluate the following expression. 2^-2<br> Answer needs to be a fraction
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What is the completely factored form of f(x) = 6x3 – 13x2 – 4x 15? (x 1)(6x2 – 19x 15) (x 1)2(2x – 3) (x 1)(3x – 2)(5x – 3) (x 1
ludmilkaskok [199]

The completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)

<h3>How to factor the expression?</h3>

The expression is given as:

f(x) = 6x³ - 13x² - 4x + 15

Expand the expression

f(x) = 6x³ - 19x² + 6x² + 15x - 19x + 15

Rewrite as:

f(x) = 6x³ + 6x² + 15x- 19x²   - 19x + 15

Factorize the equation

f(x) = (x + 1)(6x²- 19x + 15)

Expand (6x² - 19x + 15)

f(x) = (x + 1)(6x² - 10x - 9x + 15)

Factorize the expression

f(x) = (x + 1)(2x - 3)(3x - 5)

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Read more about factorized expression at:

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