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3 years ago

5

The sum of three consecutive numbers is eighty-four. Create the equation you would use to solve this problem using x as the vari

able for the first of the three consecutive numbers. (Do not use spaces)

1 answer:

frosja888 [35]3 years ago

4 0

Answer:

27,28,29

Step-by-step explanation:

x+x+1+x+2 =84

3x +3 =84

3x=84-3

3x=81

x=81 :3

x=27 (the first number

27 +1=28 (the second number

27 +2 =29 (the third number

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Answer:

The probability of getting 6's on both cubes is $\frac{1}{36}$ .

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Step-by-step explanation:

Consider the provided information.

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Probability of getting 6 on red cube is $\frac{1}{6}$

Probability of getting 6 on blue cube is $\frac{1}{6}$

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Hence, the probability of getting 6's on both cubes is $\frac{1}{36}$ .

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Red shows 6 and Blue shows 5.

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Thus, the probability of total score is at least 11.

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3 years ago

Find a and b so that f(x) = x^3 + ax^2 + b will have a critical point at (2,3).

Digiron [165]

Using the critical point concept, it is found that a = -3 and b = 7.

<h3>What are the critical points of a function?</h3>

The critical points of a function are the values of x for which:

$f^{\prime}(x) = 0$

In this problem, the function is:

$f(x) = x^3 + ax^2 + b$

Hence, the derivative is:

$f^{\prime}(x) = 3x^2 + 2ax$

Then:

$f^{\prime}(x) = 0$

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$x = -\frac{2a}{3}$

Since the critical point is at x = 2, we have that:

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Then:

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Critical point at (2,3) means that when $x = 2, y = 3$ , then:

$3 = 2^3 - 3(2)^2 + b$

$8 - 12 + b = 3$

$b = 7$

You can learn more about the critical point concept at brainly.com/question/2256078

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