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Leya [2.2K]
3 years ago
6

What is the rate of change of y with respect to x for this function?​

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
8 0

Answer:

Rate of change = -0.2

Step-by-step explanation:

Given:

(-3, 3.6) and (5, 2)

Required:

Rate of change

Solution:

Formula for rate of change = change in y/change in x = \frac{y_2 - y_1}{x_2 - x_1}

Let,

(-3, 3.6) = (x_1, y_1)

(5, 2) = (x_2, y_2)

Plug in the values into the equation:

Rate of change = \frac{2 - 3.6}{5 -(-3)}

Rate of change = \frac{-1.6}{8} = -0.2

You might be interested in
Is (0, 2) a solution to the equation y = 7x?
jeka94

Answer:

No

Step-by-step explanation:

x = 0

y = 2

y = 7x

2 = 7(0)

2 ≠ 0

4 0
2 years ago
Read 2 more answers
How do you figure out this equation?
maw [93]
Equation of a circle is (x-x1)+(y-y1)=r²
when x1 and y1 are the coordinates of the centre

So you can substitute the centre in to get (x-5)²+(y+9)²=r²

When you draw a diagram it's obvious the radius is 9

9²=81

Therefore equation is (x-5)²+(y+9)²=81

Any questions, just ask :)

6 0
3 years ago
What is the slope of o line that passes through (-4,-14) and (19,11)?
DerKrebs [107]

Answer:

D, see description below.

There is a possible typo in the problem since these points have slope 25/23.

Step-by-step explanation:

To find the slope of a line, calculate the distance between points with a ratio of vertical to horizontal distance. This is done using the formula:

m=\frac{y_2-y_1}{x_2-x_1}

Here the points are (-4,-14) and (19,11). Substitute and simplify.

m=\frac{11--14}{19--4}=\frac{11+14}{19+4}=\frac{25}{23}

I think there is a typo in your points (-4,-14) and (19,11) because the answer doesn't align to the answer choices. But based on them, I would answer D or 24/23 since it's the closest value.

6 0
3 years ago
What is the Range of the function
balu736 [363]

Answer: Pretty sure its <em>A.  </em>

Step-by-step explanation:

8 0
3 years ago
Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7
WARRIOR [948]

Answer: The equation of the parabola is (x+5)^2=-24(y-1).

Explanation:

It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.

The standard form of the parabola is,

(x-h)^2=4p(y-k)

Where y=k-p is directrix and (h,k+p) is the focus.

Since focus is given,

(h,k+p)=(-5,-5)

On comparing,

h=-5

k+p=-5      .... (1)

The directrix is y=7.

k+p=7       .... (2)

Add equation (1) and (2),

2k=2

k=1

Put this value in (1).

p=-6

Put p= -6, h= -5 and k=1 in the standard form of the parabola.

(x+5)^2=4(-6)(y-1)

(x+5)^2=-24(y-1)

Therefore, the equation of parabola is (x+5)^2=-24(y-1).

8 0
3 years ago
Read 2 more answers
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