Find the area of efg

Describe the slope of the line Find the slope. m =

spin [16.1K]

Answer:

m = -3/5

Step-by-step explanation:

Since the line is going downwards towards the right, it is a negative slope.

We can use the points to solve for the slope.

m = -2 - 1 / 2 - (-3)

m = -2 - 1 / 2 + 3

m = -3/5

Therefore, the slope is -3/5.

4 0

2 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

Is 6/12 equivalent to 1/2?

PIT_PIT [208]

Answer:

yes because 1/2= .5

and 6/12= .5 so they are equivalent

8 0

2 years ago

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Need help asap pllzzz will give brainliest

Greeley [361]

Answer:

d. $350.00

Step-by-step explanation:

A constant is a number that does not have any variables. The additional cost would depend on the number of persons at attendance so the cost would be $10.00p which is not the constant here. Thus, $350.00 is the only constant in this situation.

4 0

2 years ago

Which statement explains why the value of [2.4] is 2 but the value of [-2.4] is –3?

GenaCL600 [577]

For any x in Real numbers, [x] is the greatest possible integer smaller than x, or equal to x if x is an integer.

According to this,

[2.4] is the greatest integer , smaller than or equal to (so non greater) 2.4. This number is 2

similarly, [-2.4] is the greatest integer , smaller than or equal to (so non greater) -2.4. This number is -3.

Answer:

A) Because 2 is the greatest integer not greater than 2.4 and –3 is the greatest integer not greater than –2.4.

3 0

3 years ago

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