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Elan Coil [88]
3 years ago
11

What is the domain and range of the function f(x) = x^2 -4x-5?

Mathematics
1 answer:
Tems11 [23]3 years ago
5 0
F(x) = x²-4x-5, quadratic function,  
Domain (the values if x) is all real numbers.

To find range we should draw a graph or to write an equation in vertex form.
f(x) = x²-4x+4-4-5
f(x) = (x-2)²-9
Point (-2,-9) is the vertex of the parabola, and it is a minimum because a parabola has positive sign in front of x², so it is looking up.  Minimum value of y =-9
Range(the values of y) is [-9, ∞)


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Determine the kinetic energy of a 100-kg roller coaster car that is moving with a speed of 20.0/ms.
rjkz [21]

Answer:

The kinetic energy is 20,000\ J

Step-by-step explanation:

The kinetic energy of a body is defined as:

k = \frac{1}{2}ms ^ 2

Where <em>m</em> is the mass of the roller coaster car

<em>s</em> is the speed and <em>k</em> is the kinetic energy

We know that s = 20\ m/s

m = 100\ kg

Then the kinetic energy of the roller coaster car is:

k = \frac{1}{2}(100)(20) ^ 2\\\\k = 50(20) ^ 2\\\\k = 50 * 400\\\\k = 20,000\ J

3 0
3 years ago
What is the area of the parallelogram below? Use the formula a=bh
Nana76 [90]
Where where is the formula you didn't even post a picture?
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What is the area of the right triangle 5 centimeters high with a base of 9 centimeters
seropon [69]

The area of the given right triangle is: 22.5 cm².

<h3>How to Find the Area of a Right Triangle?</h3>

The area of a right triangle with a base of "b" and an height of "h" can be determined using the following formula:

Area of triangle = 1/2bh = 1/2(base)(height).

Given that the right triangle has the following dimensions:

Height (h) = 5 cm

Base (b) = 9 cm

Area of triangle = 1/2bh = 1/2(5)(9)

Area of triangle = 1/2(45)

Area of triangle = 22.5 cm²

Thus, the area of the right triangle is: 22.5 cm².

Learn more about the area of triangle on:

brainly.com/question/21735282

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8 0
1 year ago
Find the expected value of the winnings
lord [1]

Answer:

The expected value is $3.95

Step-by-step explanation:

Here, we want to get the expected value

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8 0
3 years ago
Picture attached on the file
AveGali [126]

Answer:

89/3

Stp/lanation:

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3 years ago
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