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Neko [114]
2 years ago
14

What is the average rate of change of f over the interval -4≤x≤5

Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
3 0

The average rate of change over the interval is 2/9

<h3>How to determine the average rate of change?</h3>

The interval is given as:

-4 ≤ x ≤ 5

From the table, we have:

f(5) = 4

f(-4) = 2

The average rate of change is then calculated as:

m = \frac{f(5) - f(-4)}{5 --4}

This gives

m = \frac{4 - 2}{5 +4}

Evaluate

m = \frac{2}{9}

Hence, the average rate of change over the interval is 2/9

Read more about average rate of change at:

brainly.com/question/23715190

#SPJ1

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Determine the value of each variable in the figure below. Keep answers in simplest<br> radical form.
Tanzania [10]

Answer:

  a = 21

  b = 63

  c = 42√3

  d = 21√3

Step-by-step explanation:

The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.

That means the other sides of the smallest triangle will be ...

  a = 42/2 = 21

  a+b = 2(42) = 84

  b = (a+b) -a = 84 -21 = 63

  d = 21√3 . . . . middle-length side of the smallest triangle

  c = 42√3 . . . . middle-length side of the largest triangle

The values of the variables are ...

  • a = 21
  • b = 63
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7 0
2 years ago
What is the factored form of _________?
enyata [817]

Answer:

C

Step-by-step explanation:

The expression given is a difference of cubes and factors as

a³ - b³ = (a - b)(a² + ab + b²)

8x^{24} = (2x^{8})³ ⇒ a = 2x^{8}

27y^{6} = (3y²)³ ⇒ b = 3y²

Hence 2 factors are

(2x^{8} - 3y²) and

((2x^{8})² + (2x^{8} × 3y²) + (3y²)²)

= (4x^{16} + 6x^{8}y² + 9y^{4})

Hence the factored form of the expression is C

4 0
4 years ago
Suppose a die is tossed 5 times. what is the probability of getting exactly 2 fours?
Tasya [4]

Answer:

the probability of getting exactly 2 fours is 0.16

Step-by-step explanation:

The probability of obtaining a number that is four = ¹/₆

The probability of obtaining a non 4 number = 1 - ¹/₆ = ⁵/₆

The number of ways 2 fours can be arrange in five numbers = ⁵C₂ = 10 ways

If the die is tossed five times, the probability of the events is calculated as;

P = 10 x (¹/₆)² x (⁵/₆)³

P = 10 x (¹/₃₆) x  (¹²⁵/₂₁₆)

P = 10 x 0.02778 x 0.5787

P = 0.16

Therefore, the probability of getting exactly 2 fours is 0.16

7 0
3 years ago
How do you use the distance formula and slope formula to find the lengths of a quadrilateral?
Natasha_Volkova [10]
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