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3 years ago

Locate the points of discontinuity in the piecewise function shown below.

Mathematics

1 answer:

algol133 years ago

8 0

Answer:

Step-by-step explanation:

The given piecewise function i

From the given function it is clear that function is divided at x=-1 and x=2. It means we check the discontinuity at x=-1 and x=2.

For x=-1,

LHL:

Since LHL ≠ f(-1), therefore the given function is discontinuous at x=-1.

For x=2,

LHL:

Since LHL ≠ f(2), therefore the given function is discontinuous at x=2.

Therefore, the correct option is A.

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11.Write the equations of linear and exponential functions that pass through the points (0,9) and (1,3)

Schach [20]

9514 1404 393

Answer:

y = -6x +9

y = 9·(1/3)^x

Step-by-step explanation:

In each case, the y-intercept is 9.

Linear

The slope is rise/run = (3-9)/(1-0) = -6, so the equation is ...

y = mx + b . . . . . . . slope m, intercept b

y = -6x +9

Exponential

The ratio of value at x=1 to that at x=0 is 3/9 = 1/3. That is the "growth factor," so the equation is ...

y = 9·(1/3)^x

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3 years ago

Triangle A″B″C″ is formed using the translation (x + 1, y + 1) and the dilation by a scale factor of 3 from the origin. Which eq

FromTheMoon [43]

Answer:

$B''C''=3BC$

Step-by-step explanation:

we know that

The length of segment B''C'' is equal to the length of segment BC multiplied by the scale factor

step 1

Find the length of segment BC

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have the points

B(1,-3),C(-3,-3)

substitute the values

$BC=\sqrt{(-3+3)^{2}+(-3-1)^{2}}$

$BC=\sqrt{(0)^{2}+(-4)^{2}}$

$BC=4\ units$

The segment B''C'' is equal to the segment BC multiplied by the scale factor

The scale factor is 3

$B''C''=BC(3)$

$B''C''=3BC$

substitute

$B''C''=3(4)=12\ units$

4 0

3 years ago

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Can someone figure this out? I couldn't.

34kurt

The angle x is complimentary to the given angle
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The weights of bags filled by a machine are normally distributed with a standard deviation of 0.055 kilograms and a mean that ca

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Answer:

Step-by-step explanation:

Given that the weights of bags filled by a machine are normally distributed with a standard deviation of 0.055 kilograms and a mean that can be set by the operator.

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i.e. P(X<10.5) = 0.01

corresponding Z value for P(Z<z) = 0.01 is -0.025

i.e. 10.5 = M-0.025(0.055)

Solve for M from the above equation

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3 years ago

I need to find the linear inequalities for the graph

bonufazy [111]

Answer:

The answer is B i think so.....Hope this helps!

Step-by-step explanation:

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