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lozanna [386]
3 years ago
6

The answer is a=6 , b=-5. Can someone explain how to get thosse two anwers?​

Mathematics
1 answer:
andre [41]3 years ago
3 0

The notation

h: x --> ax+b

is another way of saying h(x) = ax+b

The input is x, the output is h(x) = ax+b

The composite function notation h^2 is the same as (h o h)(x) or h(h(x)). I prefer h(h(x)) as it is the most descriptive of the three notation styles. The square notation is easily confused with actual squaring (when instead we want composite notation of a function with itself)

----------------

h(x) = ax+b

h(x) = a( x )+b

h(h(x)) = a( h(x) )+b ... replace every x with h(x)

h(h(x)) = a( ax+b )+b .... replace the h(x) on the RHS with ax+b

h(h(x)) = a*ax + ab + b

h(h(x)) = a^2*x + (ab + b)

-----------------

Since h(h(x)) = 36x-35, this means we can equate the two expressions to find a and b

a^2*x + (ab+b) = 36x-35

we see that

a^2 = 36, so a = 6 (keep in mind a > 0)

since a = 6, we know that

ab+b = -35

6b+b = -35

7b = -35

b = -35/7

b = -5

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-1/5(x-4)=-2 how do you solve this equation
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Step-by-step explanation:

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6 0
4 years ago
9,13,43,55 what is the mean absolute deviate (MAD) of their ages
lisov135 [29]

Answer:

The mean absolute deviation of this data \{9,13,43,55\} is MAD =19.

Step-by-step explanation:

The mean absolute deviation (MAD) of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.

The steps to find the MAD include:

  1. find the mean (average)
  2. find the difference between each data value and the mean
  3. take the absolute value of each difference
  4. find the mean (average) of these differences

To find the mean absolute deviation of this data \{9,13,43,55\} you must

Step 1: Calculate the mean.

\:mean=\bar{x}= \frac{9+13+43+55}{4} =\frac{120}{4}=30

Step 2: Calculate the distance between each data point and the mean and take the absolute value of each difference .

|9-30|=21\\|13-30|=17\\|43-30|=13\\|55-30|=25

Step 3: Add the distances together.

21+17+13+25=76

Step 4: Divide the sum by the number of data points.

MAD = \frac{76}{4} =19

7 0
3 years ago
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