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Marianna [84]
3 years ago
12

Graph the piecewise-defined function.

Mathematics
1 answer:
Snezhnost [94]3 years ago
4 0

Answer:

We have to graph the piecewise-defined function h(x) which is given as:

h(x)=  x^3   '  if x <0

   and  √x   ' if x ≥ 0.

We could clearly see that the graph of a function is continuous since the left hand limit(L.H.L) of the function is equal to the right hand limit(RH.L.) is equal to the value of the function at x=0.

L.H.L=R.H.L=h(0)=0

Also the graph of the function h(x) in the region (-∞,) is a graph of the cubic function x^3 and the graph of the function h(x) in the region [0,∞) is the graph of the square root function √x.

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what is the slope of a line perpendicular to the line whose equation is 5x+6y=42. fully reduce your answer​
oksian1 [2.3K]

Answer:

the slope of the line that is perpendicular to the given line is  \frac{6}{5}

Step-by-step explanation:

As the slope intercept form is

y=mx+b

Where

  • m is the slope
  • b is the y-intercept

Considering the equation

5x+6y=42

\mathrm{Slope-Intercept\:form\:of}\:5x+6y=42:\quad y=-\frac{5}{6}x+7

\mathrm{Slope\:of\:}-\frac{5}{6}x+7:\quad m=-\frac{5}{6}

As we know that perpendicular lines have negative reciprocal slopes.

So,

-\frac{1}{-\frac{5}{6}}=\frac{6}{5}

Hence, the slope of the line that is perpendicular to the given line is \frac{6}{5}

Keywords: slope, slope of a line, equation

Learn more about slope of a line of the equation from brainly.com/question/13793576

#learnwithBrainly

6 0
3 years ago
The price of a jacket was reduced from $84 to $63. By what percentage was the price of the jacket reduced?
BabaBlast [244]

Answer:

21% or 0.21

Step-by-step explanation: 84 minus 63 is 21

6 0
3 years ago
Factor the polynomial.<br> 13x² – 20x – 12
erma4kov [3.2K]

Answer:

(13 x + 6) (x - 2)

Step-by-step explanation:

Factor the following:

13 x^2 - 20 x - 12

Factor the quadratic 13 x^2 - 20 x - 12. The coefficient of x^2 is 13 and the constant term is -12. The product of 13 and -12 is -156. The factors of -156 which sum to -20 are 6 and -26. So 13 x^2 - 20 x - 12 = 13 x^2 - 26 x + 6 x - 12 = x (13 x + 6) - 2 (13 x + 6):

x (13 x + 6) - 2 (13 x + 6)

Factor 13 x + 6 from x (13 x + 6) - 2 (13 x + 6):

Answer: (13 x + 6) (x - 2)

6 0
4 years ago
Pls help its last question I need this to get 80% if I don't I have to do it again​
Vikki [24]

Answer:

x = 7/9

i hope this is the answer you are looking for

Step-by-step explanation:

5 0
3 years ago
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James has 858 feet of rope. There are 18 teams of hikers.
belka [17]
48 feet
Divide 858 by 18 to get 47.6 > simplify > 48 feet
6 0
4 years ago
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