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jenyasd209 [6]
3 years ago
11

Find the slop of the line that passes through each pair of points (3,5)and(-3,-5)

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
4 0
This doesn’t really make since :(
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Calculate the average rate of change of f(x) over the interval [-4, -1] using the formula [ BLANK ] The value of f(-1) is [BLANK
lesantik [10]
Answers:
The formula is [f(-1)-f(-4)]/[3]
The value of f(-1) is 3
The value of f(-4) is -3
The average rate of change is 2

==============================================

Explanation:

For the first blank, we use the formula
[ f(b) - f(a) ]/[ b - a ]
where 'a' and 'b' are the endpoints for the x interval

In this case, a = -4 and b = -1. When you plug those values into the formula above, you get...
[ f(b) - f(a) ]/[ b - a]
[ f(-1) - f(-4)]/[ -1 - (-4) ] 
[ f(-1) - f(-4)]/[ -1+4 ]
[ f(-1) - f(-4)]/[ 3 ]
which is why the answer is choice C for the first blank

-------------------------------------------

To compute the value of f(-1), we draw a vertical line through -1 on the x axis. This vertical line crosses the diagonal function graph at the point (-1,3). The y value of this point is what we want. Plugging in x = -1 leads to y = 3. This is why f(-1) = 3
If you want, you can draw a horizontal line through (-1,3) and you'll see it touching 3 on the y axis.

-------------------------------------------

Follow similar steps as above to compute f(-4). Draw a vertical line through x = -4 on the x axis. Mark the point where the vertical line crosses the diagonal line. This point is (-4,-3). Optionally draw a horizontal line over til you hit the y axis and you'll find that y = -3 corresponds to x = -4

This is why f(-4) = -3

-------------------------------------------

We'll use the last three sections to compute the average rate of change. Everything combines together building up to this moment.

From the first part, we had the formula
[ f(b) - f(a) ]/[ b - a ]
[ f(-1) - f(-4)]/[ 3 ]

We can replace the "f(-1)" with 3 since we found that f(-1) = 3
Similarly, f(-4) = -3 so we can replace the "f(-4)" with -3

Doing those replacements and simplifying leads to...

[ f(-1) - f(-4)]/[ 3 ]
[ 3 - (-3)]/[ 3 ]
[ 3 + 3]/[ 3 ]
6/3
2

So the average rate of change is 2

Note: because the entire graph is a straight line, the average rate of change for any interval a < x < b is going to be equal to the slope m. In this case, the slope of the line is m = 2/1 = 2. We move up 2 units each time we move to the right 1 unit along the diagonal line.

6 0
3 years ago
Please help!!!!!!!!! I'll mark brainliest if you give an explanation!!!!
ohaa [14]

Answer:

whichu

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Find the area of the triangle.
madreJ [45]
Start by finding the area of each smaller right triangle.
Right triangle area = (1/2)hb -> h = height & b = base
b = 4 & h = 3
(1/2)(4)(3) = 6
6*2 = 12 (there are two right triangles)
The area of the entire triangle is 12yd^2
8 0
3 years ago
What is the value of ▲ in the equation shown?<br> 7x9=(7x10)-(7x▲ )
ahrayia [7]

Step-by-step explanation:

▲ =1

easy peasy........

7 0
3 years ago
How to find the volume
aev [14]

Answer: 1.44 centimeters cubed.

Step-by-step explanation:

To find the volume of a rectangular prism, use the following formula:

V=whl, where w equals the width, h equals the height, and l equals the length.

Substituting 0.6, 1, and 2.4 for the variables:

V = 0.6 * 1 * 2.4

V = 1.44 cm^3

The volume of the prism is 1.44 centimeters cubed.

7 0
3 years ago
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