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zimovet [89]
4 years ago
8

Use the graph to calculate the following

Mathematics
1 answer:
sweet-ann [11.9K]4 years ago
4 0

Answer:

f(x)= { 1  if      x≤-2

         x2      if -2<x≤0

        ln(x)     if x>0

Step-by-step explanation:

The first part of the graph (from left to right) is a constant funcion. Since there isn't any pendant, the y value is constant at y=1. This remains this way until x≤-2 (because the value at x=-2 is filled in on the line and blanked out on the curve above)

The second part of the graph, between x>-2 & x=0, is a cuadratic formula.

Finally, the last part of the graph corresponds to the formula ln(x), which is only valid for x>0.    

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Quality control is an important issue at ACME Company which manufacturers light bulbs. In order to conduct testing of the life h
mrs_skeptik [129]

Answer: 3424.28

Step-by-step explanation:

Given data : 378, 361, 350, 375, 200, 391, 375, 368,  321

Number of data values = 9

Mean :\overline{x}=\dfrac{\sum^n_{i=1} x_i}{n}

\\\\=\dfrac{378+361+350+375+200+391+375+368+321}{9}\\\\=\dfrac{3119}{9}\approx346.56

Variance = \dfrac{\sum^n_{i=1} (x_i-\overline{x})^2}{n-1}

\sum^n_{i=1} (x_i-\overline{x})^2 = (31.44)^2+(14.44)^2+(3.44)^2+(28.44)^2+(-146.56)^2+(44.44)^2+(28.44)^2+(21.44)^2+(-25.56)^2\\\\=27394.2224

Variance = \dfrac{27394.2224}{8}=3424.2775\approx3424.28

4 0
3 years ago
Graph the inequality: t&gt;9 or t&lt;-6​
IRINA_888 [86]

Answer:

answer in the attachment

Step-by-step explanation:

<, > - open circle

≤, ≥ - closed circle

<, ≤ - draw the line to the left

>, ≥ - draw the line to the right

We have

t > 9 - open circle and draw the line to the right

t < -6 - open circle and draw the line to the left

3 0
3 years ago
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morpeh [17]
Question plz thxs 
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7 0
3 years ago
8 hours (hrs) = minutes (min)
LenKa [72]

Answer: 480 minutes

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6 0
3 years ago
Read 2 more answers
How many solutions?<br><br> y = 5(x – 4)<br> 4x + 12 = -y
kakasveta [241]

Answer:

One solution, x = 8/9

Step-by-step explanation:

One way to solve this is to take one equation and substitute into the other and then solve. So, take y=5(x-4) and put that into the other equation.

4x + 12 = -y

4x + 12 = -(5(x-4))       <--- substitution here

4x + 12 = -5(x-4)

4x + 12 = -5x + 20     <-- simplifying

4x + 5x = 20 - 12

9x = 8

x = 8/9

4 0
3 years ago
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