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Amiraneli [1.4K]
3 years ago
6

Help i dont understand this

Mathematics
1 answer:
Andreyy893 years ago
4 0

Step-by-step explanation:

you substitute the given values in s-row for s in the function, then calculate the results and fill the blanks in f(s)-row

s=0 --> f(s) = |0-2| / (0-2) = -1

s=1 --> f(s) = -1

s=9/2 --> f(s) = 1

s=11/2 --> f(s) = 1

s=6 --> f(s) = 1

In fact, there's a more shorter way to do this

You see that:

|x-2| = x-2 when x≥2

|x-2| = -(x-2) when x<2

Therefore:

f(s) = 1 for all x≥2

f(s) = -1 for all x<2

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What is 8×∙(−7)∙3 = Because I need it right now for my HOMEWORK, so if you know the answer please tell me what it is.
Romashka [77]

Answer:

-168

Step-by-step explanation:

8 × -7 × 3

-56 × 3

-168

3 0
3 years ago
What is the result when the number 10 is decreased by 5.1%?
SashulF [63]

Answer:

(10/100)*94.9 = 9.49

Step-by-step explanation:

Divide by 100 and multiply by 100-5.1 = 9.49

6 0
3 years ago
The coordinates of the vertices of ANGLE RST are R(-3,5), and S(4,5), and T(4,-2). Find the side lengths to the nearest hundredt
e-lub [12.9K]


Side lengths: RS=7 and ST=7, and angle=90 degrees

Why?

Since second coordinates of R and S are the same so we can just count the length by adding first coordinate of R and first coordinate of S= |-3|+4=7

Since first coordinates of R is the same as first coordinate of T so we can just count  the length  by adding second coordinates of S and T=5+|-2|=7

Angle: RST is =90 degrees because triangle RST is right angled  triangle. Why? Because RS is parallel to X axis(the same second coordinates of R and S) and ST is parallel to Y axis(the same coordinates of S and T) .


6 0
3 years ago
The function f(t) = 20 sin (pi over 5t) + 12 models the temperature of a periodic chemical reaction where t represents time in h
gregori [183]
The answer for the exercise shown above is the second option, which is: <span>Maximum: 32°; minimum: −8°; period: 10 hours.
 The explanation is shown below:
</span> You can make a graph of the function given in the problem above: f(t)=20Sin(π/5t)+12.
 As you can see in the graph, the maximum point is at 32 over the y-axis, and the minimum is at -8.
 The lenght of the repeating pattern of the function (Its period) is 10.

6 0
3 years ago
state the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation
erma4kov [3.2K]

Answer:

  • domain (-∞, ∞)
  • range (-∞, 4]
  • increasing (-∞, 0)
  • decreasing (0, ∞)
  • constant (only at x=0, not on any interval)

Step-by-step explanation:

The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).

The vertical extent of the graph includes y=4 and all numbers less than that:

  range: (-∞, 4]

The graph is increasing to the left of its vertex at x=0, decreasing to the right.

  increasing (-∞, 0); decreasing (0, ∞)

There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.

8 0
3 years ago
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