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3 years ago

15

Can someone help

1 answer:

lubasha [3.4K]3 years ago

8 0

9514 1404 393

Answer:

C. jump discontinuity at x=-2

Step-by-step explanation:

At x=-2, you have to lift your pencil to keep drawing the graph. That means there's a jump discontinuity there.

This function has a jump discontinuity at x = -2.

__

<em>Additional comments</em>

At x=3, there is no discontinuity in the function. The <em>derivative</em> of the function has a discontinuity there, as there is an abrupt change in slope at that point.

If left and right limits exist and are the same at a point, but the graph is not defined at that point, then a <em>removable</em> discontinuity exists. All that is needed to fill the hole is to define the function at that point.

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Suppose 29 cars start at a car race. In how many ways can the top 3 cars finish the race?

Ilia_Sergeevich [38]

any of the 34 cars can finish first

any of the remaining 33 cars can finish second

any of the remaining 32 cars can finish third

Thus, the top 3 finishes can be done in (34)(33)(32) = 35904 ways

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3 years ago

67 times a number minus 65 is equal to -4 less than the number

sashaice [31]

Answer:

Translation is 67x-65=x-4, you can use any variable for the number.

Step-by-step explanation:

7 0

3 years ago

PLEASE ANSWER WITH AN EXPLANATION! THANK YOU

lubasha [3.4K]

Answer:

$\large\boxed{A=153\ cm^2}$

Step-by-step explanation:

<em>Look at the picture.</em>

We have

square with side length a = 9

trapezoid with base lengths b₁ = 9 and b₂ = 6 and the height length h = 6

right triangle with legs lengths l₁ = 3 + 6 = 9 and l₂ = 6

The formula of an area of a square

$A=a^2$

Substitute:

$A_I=9^2=81\ cm^2$

The formula of an area of a trapezoid:

$A=\dfrac{b_1+b_2}{2}\cdot h$

Substitute:

$A_{II}=\dfrac{9+6}{2}\cdot6=\dfrac{15}{2\!\!\!\!\diagup_1}\cdot6\!\!\!\!\diagup^3=(15)(3)=45\ cm^2$

The formula of an area of a right triangle:

$A=\dfrac{l_1l_2}{2}$

Substitute:

$A_{III}=\dfrac{(9)(6)}{2}=\dfrac{54}{2}=27\ cm^2$

The area of the shape:

$A=A_I+A_{II}+A_{III}\\\\A=81+45+27=153\ cm^2$

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3 years ago

A line of best fit is f(x) ≈ −0.86x + 13.5 for the set of points in the table

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Answer: -2

Step-by-step explanation:

Because it is

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3 years ago

A certain type of bacteria doubles in population every 6 hours. There were approximately 100 bacteria at the beginning of the da

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Answer:

1600 after 24 hours

Step-by-step explanation:

100+100 = 200 after 6 hours

200+200 = 400 after 12 hours

400+400 = 800 after 18 hours

800+800 = 1600 after 24 hours

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3 years ago