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3 years ago

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

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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:

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3 years ago

Factor the polynomial.<br> 13x² – 20x – 12

erma4kov [3.2K]

Answer:

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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):

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4 years ago

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Vikki [24]

Answer:

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i hope this is the answer you are looking for

Step-by-step explanation:

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