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lina2011 [118]
3 years ago
8

Given that f(x)=2x-8, determine the average rate of change over the interval [2, 8].

Mathematics
1 answer:
8_murik_8 [283]3 years ago
5 0

Answer:

2

Step-by-step explanation:

The average rate of change over [2, 8] is the change in the y-values over the change in the x-values.

\frac{f(8) - f(2)}{8 - 2}

f(8) = 2(8) - 8 = 16 - 8 = 8

f(2) = 2(2) - 8 = 4 - 8 = -4

\frac{8 - (-4)}{8-2} = \frac{8 + 4}{8-2} = \frac{12}{6} = 2

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Marat540 [252]

Answer:

Triangle DEF is a right, scalene triangle. It is not isosceles, obtuse, acute, or equilateral

Step-by-step explanation:

All we know about m and n are that they are not equal to each other and they are positive. This was given in the problem. See image. Once it is graphed you can see on the graph the lengths of DE and EF. Use Pythagorean theorem to calculate DF. see image.

DE is horizontal and EF is vertical, so you can see their slopes or calculate using a formula. Calculate the slope of DF. Slope is y-y on top of a fraction and x-x on the bottom of the fraction.

Lastly, use midpoint formula to find the midpoints. Average the x's and average the y's to find the x- and y-coordinates of the midpoints. See image.

Finally, DEF is a right triangle. The graph as well as the slopes show us that DE and EF form a right angle. So DEF must be a right triangle (and not obtuse nor acute) We were told that m doesNOT equal n, so the triangle cannot have two equal sides, so it cannot be isosceles (2 equal sides) nor equilateral (3 equal sides) It has 3 different lengths of sides; that is called scalene.

4 0
2 years ago
Need helpp fastt plss will give brainliest to who is correct plss helpp
Maurinko [17]
The answers should be 1, 1, 0, 0
7 0
2 years ago
Read 2 more answers
Customers arrivals at a checkout counter in a department store per hour have a Poisson distribution with parameter λ = 7. Calcul
IgorLugansk [536]

Answer:

(1)14.9% (2) 2.96% (3) 97.04%

Step-by-step explanation:

Formula for Poisson distribution: P(k) = \frac{\lambda^ke^{-k}}{k!} where k is a number of guests coming in at a particular hour period.

(1) We can substitute k = 7 and \lambda = 7 into the formula:

P(k=7) = \frac{7^7e^{-7}}{7!}

P(k=7) = \frac{823543*0.000911882}{5040} = 0.149 = 14.9\%

(2)To calculate the probability of maximum 2 customers, we can add up the probability of 0, 1, and 2 customers coming in at a random hours

P(k\leq2) = P(k=0)+P(k=1)+P(k=2)

P(k\leq2) = \frac{7^0e^{-7}}{0!} + \frac{7^1e^{-7}}{1!} + \frac{7^2e^{-7}}{2!}

P(k \leq 2) = \frac{0.000911882}{1} + \frac{7*0.000911882}{1} + \frac{49*0.000911882}{2}

P(k\leq2) = 0.000911882+0.006383174+0.022341108 \approx 0.0296=2.96\%

(3) The probability of having at least 3 customers arriving at a random hour would be the probability of having more than 2 customers, which is the invert of probability of having no more than 2 customers. Therefore:

P(k\geq 3) = P(k>2) = 1 - P(k\leq2) = 1 - 0.0296 = 0.9704 = 97.04\%

4 0
2 years ago
Gerry visited a farm and saw a total of 87 chickens and pigs. If there were a total of 248 legs between all of these animals, ho
Shkiper50 [21]

Answer: 37

Step-by-step explanation:

87 x 2 = 174

248 - 174 = 74

74 divided by 2 = 37

So, therefore you answer will be 37

:))

6 0
2 years ago
Solve the equation.<br> y +3=y+9
scoray [572]

Answer:

No solution

Step-by-step explanation:

=> y+3 = y+9

<u><em>Subtracting both sides by y</em></u>

=> y+3-y = y+9-y

=> 3 ≠ 9

So, This equation has no solution.

8 0
3 years ago
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