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Pepsi [2]
3 years ago
14

Can someone help me in this question

Mathematics
2 answers:
Daniel [21]3 years ago
3 0
The answer is a. im 100 percent sure
n200080 [17]3 years ago
3 0
I think the answer is a).
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If a rectangle has a perimeter of 70 and width of 21, what is the length
shusha [124]
 The length would be 49 
7 0
3 years ago
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
2 years ago
Max walks 6 laps around the track in 30 minutes. How many laps around the track does Max walk in 1 minute
Sunny_sXe [5.5K]

Answer:5

Step-by-step explanation:

6:30 is the ration

6/30 reduced is 1/5

1:5

so its 5

3 0
3 years ago
The volume for a rectangular prism is given by the formula V = l · w · h, where l is the length of the prism, w is the width of
Charra [1.4K]

Answer:

4

Step-by-step explanation:

devide 144 by 9

get 16

The base squared is 16

find the root of 16

get 4

4 is your awnser

4 0
3 years ago
What is 5x-9+2-4=9.4
Dominik [7]

Answer:

x=5.1

Step-by-step explanation:

5x-9+2-4=9.4

5x=9.4+4-2+9

5x=20.4

x=5.1

4 0
2 years ago
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