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2 years ago

4. Simplify -6(3 – 5s + 12t – 2u)

Mathematics

1 answer:

Elan Coil [88]2 years ago

8 0

-18 +30s -72t +12u is the answer

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Given the function g(x) = 6(4)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Mademuasel [1]

We are given the function:

g(x) = 6 (4)^x

Part A.

To get the average rate of change, we use the formula:

average rate of change = [g(x2) – g(x1)] / (x2 – x1)

Section A:

average rate of change = [6 (4)^1 – 6 (4)^0] / (1 – 0) = 18

Section B:

average rate of change = [6 (4)^3 – 6 (4)^2] / (3 – 2) = 288

Part B.

288 / 18 = 16

Therefore the average rate of change of Section B is 16 times greater than in Section A.

<span>The average rate of change is greater between x = 2 to x = 3 than between x = 1 and x = 0 because an exponential function's rate of change increases with increasing x (not constant).</span>

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3 years ago

Is -6.175 is an irrational number?

kipiarov [429]

No.

Any number you can write completely is a rational number.
Any number with a repeating decimal fraction is also a rational number.
___
Any number that goes on forever without repeating is an irrational number. These are usually represented symbolically (because they cannot be written "exactly" any other way). These include such numbers as √2, π, e, ∛(-4), and an infinite number of others.

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2 years ago

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Kobotan [32]

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2 years ago

Use trigonometry to find the unknown side (round to 1 decimal)

artcher [175]

Answer:

1 1 1 1

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Suppose a normal distribution has a mean of 222 and a standard deviation of 16. What is the probability that a data value is bet

valentina_108 [34]

Mean of the distribution = u = 222
Standard Deviation = s = 16

We have to find the probability that a value lies between 190 and 230.

First we need to convert these data values to z score.

$z= \frac{x-u}{s}$

For x = 190,
$z= \frac{190-222}{16}=-2$

For x = 230
$z= \frac{230-222}{16}=0.5$

So, we have to find the percentage of values lying between z score of -2 and 0.5

P( -2 < z < 0.5) = P(0.5) - P(-2)

From standard z table, we can find and use these values.

P(-2 < x < 0.5 ) = 0.6915 - 0.0228 = 0.6687

Thus, there is 0.6887 probability that the data value will lie between 190 and 230 for the given distribution.

5 0

3 years ago