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Dmitrij [34]
3 years ago
8

What is the slope of a line going through (12, 2), (−7, 5)

Mathematics
1 answer:
makkiz [27]3 years ago
3 0
The equation to find the slope of a line is "y2 - y1 / x2 - x1"

Our second y coordinate is 5 and our first y coordinate is 2.
5 - 2 = 3.

Our second x coordinate is -7, and our first x coordinate is 12.
-7 - 12 = -19.

We now have 3 / -19
3 / -19 = ~-0.158

Therefore, the slope of the line is ~-0.158
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What is the average rate of change of the function over the interval x = 0 to x = 8?<br>​
serious [3.7K]

Answer:

The average rate of change is:

\frac{13}{161}

Step-by-step explanation:

The rational function given to us is;

f(x)=\frac{3x+4}{2x+7}

f(0)=\frac{3(0)+4}{2(0)+7}

f(0)=\frac{4}{7}

f(8)=\frac{3(8)+4}{2(8)+7}

f(0)=\frac{28}{23}=1

The average rate of change of this function from x=0 to x=8  is the slope of the secant line connecting:

(0,f(0)) and (8,f(8))

Average rate of change ==\frac{f(8)-f(0)}{8-0}

=\frac{\frac{28}{23}-\frac{4}{7} }{8}

=\frac{13}{161}

7 0
3 years ago
Using mental math, the approximate tip to leave for a bill of $81.79, if you tip 15% would be _____.. a. $8.20 b. $10.30 c. $12.
Anton [14]

Step-by-step explanation:

The approximate tip is - 12.30$

Because bill is 81.79$

and tip - 15%

therefore bill amount divided by 15/100

==> 81.79* 15% is 12.30$

4 0
3 years ago
Read 2 more answers
Quiz 3
erica [24]

Complete question :

The data below represents the number of customers at each Slurpee Sam's Spaghetti Shop. 24, 25, 29, 30, 31, 31, 32, 34, 34. Which box plot correctly summarizes the data?

Answer:

B

Step-by-step explanation:

BOX plots provide information about :

Minimum, Lower quartile, Median, Upper quartile and maximum value of a dataset.

Given the dataset :

24, 25, 29, 30, 31, 31, 32, 34, 34

Minimum value = 24 (Lowest value in the dataset)

First quartile (Q1) = 1/4(n+1)th term

Q1 = 1/4 * 10 = 10/4 = 2.5th term = (25+29)/2 = 27

Second quartile ; median (Q2) = 1/2(n+1)th term

Q2 = 1/2(n+1)th term = 1/2(10) = 5th = 31

Third quartile (Q3) = 3/4(n+1)th term

Q3 = 3/4(n+1)th term = 3/4(10) = 30/4 = 7.5th term = (7th +8th) term = (32 + 34) / 2 = 66/2 = 33

Maximum value = 34 (Highest value in the dataset)

First dot = minimum value

Last dot = maximum value

First line of box = QI

mid line = median

End line of box = Q3

4 0
3 years ago
What is the slope of (-4,6) and (2,-5)
Dominik [7]

Answer:

-11/6

Step-by-step explanation:

Slope can be found with this equation:

(y₁ - y₂) / (x₁ - x₂)

What this essentially tells us to do is to put one set of the x and y coordinates into x₁ and y₁, respectfully. Then, put the other set of x and y points as x₂ and y₂.

With this scenerio, we can substitute the given points into the formula.

(6 - (-5)) / (-4 - 2) =

(6 + 5 ) / (-6) =

11 / (-6) =

-11/6

The slope is  - 11/6

4 0
3 years ago
Read 2 more answers
Solve please!!<br> equation is in the directions!!
patriot [66]
14. The equation would be -16t^2+60t+7 To find the maximum point plug in values into the equation -b/2a to find the axis of symmetry, and plug that number in for t.
b=60, a=-16
-60/-32=t=1.875
-16(1.875)^2+60(1.875)+7=63.25
Maximum point: (1.875,63.25)
The ball will land after about 3.86 seconds
7 0
3 years ago
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