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Leokris [45]
3 years ago
13

Find the average rate of change of f(x) = -x² + 5x+2 from x=3 to x=6.

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

9514 1404 393

Answer:

  -4

Step-by-step explanation:

The points at the ends of the interval are ...

  (3, f(3)) = (3, 8)

  (6, f(6)) = (6, -4)

The slope is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -8)/(6 -3) = -12/3 = -4

The average rate of change is -4.

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bogdanovich [222]
Because it is a fraction thats why. ok
7 0
3 years ago
Find the slope of the line connecting <br> (1, 7), (10, 1)
kari74 [83]

Slope = (Y2 -Y1) ÷ (X2 -X1)

Slope = (1 -7) / (10 -1)

Slope = -6 / 9 = -0.6666666666666666


7 0
3 years ago
Which of the following points lie in the solution set to the following system of inequalities? y ≤ x − 5 y ≥ −x − 4
Strike441 [17]
Y ≤ x - 5
y ≥-x - 4

   x - 5 = -x - 4
+ x       + x
 2x - 5 = -4
     + 5  + 5
       2x = 1
        2     2
         x = ¹/₂
         y = x - 5
         y = ¹/₂ - 5
         y = -4¹/₂

The following points that lie in the solution set to the following system of inequalities is (¹/₂, -4¹/₂).
8 0
3 years ago
Read 2 more answers
There were 3,260 visitors to a county fair on Friday. On Saturday the number of visitors to the fair increased by 15%. Fair orga
KonstantinChe [14]

Answer:

163

Step-by-step explanation:

Given the following :

Number of visitors on Friday = 3,260

Number increased by 15% on Saturday

Projected percentage increase on Saturday = 20%

Actual percentage increase in number of visitors = 15%

Number of visitors on Saturday :

(100 + 15)% × 3260

115% * 3260

(115/100) * 3260

= 3749 visitors

Projected percentage increase = 20%

Projected number:

((100 + 20)% * 3260

120% * 3260

(120/100) * 3260

= 3912

Difference : (3912 - 3749) = 163

3 0
3 years ago
In a fishing competition Johannes and Peter together caught 48 fish.
Alenkasestr [34]

John caught 18 fishes and Peter caught 30 fishes.

Step-by-step explanation:

Let,

Fishes caught by John = x

Fishes caught by peter  = y

Total fishes caught = 48

According to given statement;

x+y=48    Eqn 1

x=\frac{3}{5}y   Eqn 2

Putting  Eqn 2 in Eqn 1;

\frac{3}{5}y+y=48

Multiplying each term by 5;

5*\frac{3}{5}y+5*y=48*5\\3y+5y=240\\8y=240

Dividing both sides by 8

\frac{8y}{8}=\frac{240}{8}\\y=30

Putting y=30 in Eqn 1

x+30=48\\x=48-30\\x=18

John caught 18 fishes and Peter caught 30 fishes.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/11007026
  • brainly.com/question/11207748

#LearnwithBrainly

4 0
3 years ago
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