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rjkz [21]
3 years ago
10

Which statements best describe the dot plot or box plot? Check all that apply.

Mathematics
1 answer:
attashe74 [19]3 years ago
8 0

Answer:

i think the answers are A, C and D

Step-by-step explanation:

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For the function y=3x2: (a) Find the average rate of change of y with respect to x over the interval [3,6]. (b) Find the instant
nirvana33 [79]

Answer:

The instantaneous rate of change of y with respect to x at the value x = 3 is 18.

Step-by-step explanation:

a) Geometrically speaking, the average rate of change of y with respect to x over the interval by definition of secant line:

r = \frac{y(b) -y(a)}{b-a} (1)

Where:

a, b - Lower and upper bounds of the interval.

y(a), y(b) - Function exaluated at lower and upper bounds of the interval.

If we know that y = 3\cdot x^{2}, a = 3 and b = 6, then the average rate of change of y with respect to x over the interval is:

r = \frac{3\cdot (6)^{2}-3\cdot (3)^{2}}{6-3}

r = 27

The average rate of change of y with respect to x over the interval [3,6] is 27.

b) The instantaneous rate of change can be determined by the following definition:

y' =  \lim_{h \to 0}\frac{y(x+h)-y(x)}{h} (2)

Where:

h - Change rate.

y(x), y(x+h) - Function evaluated at x and x+h.

If we know that x = 3 and y = 3\cdot x^{2}, then the instantaneous rate of change of y with respect to x is:

y' =  \lim_{h \to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}

y' =  3\cdot \lim_{h \to 0} \frac{(x+h)^{2}-x^{2}}{h}

y' = 3\cdot  \lim_{h \to 0} \frac{2\cdot h\cdot x +h^{2}}{h}

y' = 6\cdot  \lim_{h \to 0} x +3\cdot  \lim_{h \to 0} h

y' = 6\cdot x

y' = 6\cdot (3)

y' = 18

The instantaneous rate of change of y with respect to x at the value x = 3 is 18.

5 0
3 years ago
Which of the following are true statements about David Hilbert?
qwelly [4]

Answer:

this is your answer

7 0
3 years ago
So im doing triangles and all triangles equal 180 degrees but one corner = 32.1 another =95 the last one is ____? (remember it h
dexar [7]

Answer:

52.9

Step-by-step explanation:

180-32.1-95=

guessing you don't have a calculater or the patience to answer this

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2 years ago
Bob's carpet cleaning company uses the equation y=22x+30 to calculate cost, y, to clean x numbers of rooms. Andy's carpet cleani
olga_2 [115]
Bob charges $140 
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3 years ago
How many solutions does the system of equations have y=5x+7 and 3y-15x=18
spayn [35]
Hello there.

<span>How many solutions does the system of equations have y=5x+7 and 3y-15x=18

</span><span>B two
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6 0
3 years ago
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