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dusya [7]
3 years ago
14

3 teachers each bought a box of markers and 2 notebooks. The box of markers cost $2.50. The total was $12.00. Write an equation

to solve for the cost of one notebook.
Mathematics
1 answer:
larisa [96]3 years ago
4 0

Answer:

$1.12

Step-by-step explanation:

12÷3=4

1 box of markers is $2.50, Multiply $2.50 by 3 and you get $7.50. 12- $7.50= $4.50. $4.50÷ 2= $2.25. $2.25÷2= $1.12

Not 100% but i'm pretty sure this is the answer. Hope this helps. ( if i'm wrong sorry its 2:30 am)

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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.

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3 years ago
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Luda [366]

Answer:

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Step-by-step explanation:

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SCORPION-xisa [38]
The questions is, when z=9, 3z = ? When you multiply 3*9, you get 27
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vredina [299]

Answer:

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