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3 years ago

PLS HELP ASAP PLSSS IT DETECTS IF ITS RIGHT OR WRONG HELPPP

Mathematics

1 answer:

timurjin [86]3 years ago

3 0

Answer:

y= 250 - 2x

Step-by-step explanation:

She spends $2 per bottle, which is my it's 2x.

She has a total of 250, and she spends $2 per bottle, so you subtract 2x from 250, which leaves the equation at y = 250 - 2x

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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

in the equation dy+3x=2, for what value of d is the graph of the equation parallel to the graph of x-3y=0? the y axis?

IRISSAK [1]

Answer:

-9

Step-by-step explanation:

The slope of the the solving equation is triple the slope of the given equation. Therefore, the y coefficient must also be triple of the other y coefficient.

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2 years ago

An art teacher makes a batch of purple paint by mixing 3/4 cup red paint with 3/4 cup of blue paint. If she mikes 13 batches, ho

Pepsi [2]

She will have 19.5 cups of purple paint.
I couldn’t write the explanation of how you get the answer, but look your question up on Brainly and it’ll give you your explanation.

Hope this helped! :)

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3 years ago

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lana66690 [7]

Answer:

W=2/(P-2L)

Step-by-step explanation:

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4 years ago

What is the equation of a circle with the center (2,3) and radius 3

ruslelena [56]

Answer:

(x - 2)² + (y - 3)² = 9

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (2, 3) and r = 3, hence

(x - 2)² + (y - 3)² = 9 ← equation of circle

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4 years ago