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nikklg [1K]
3 years ago
15

Let h(x)=(g o f)(x)=√x+3 Which of the following could be a possible decomposition of h(x)?

Mathematics
2 answers:
hodyreva [135]3 years ago
8 0
In this case, h(x) = sqrt(x) + 3

A. f(x)=x+3; g(x)=√x 
B. f(x)=x; g(x)=x+3 
C. f(x)=√x; g(x)=x+3 
D. f(x)=3x; g(x)=√x

Again, you need to find a function f(x) that once evaluated in g(x) gives us h(x)

h(x) =  g(f(x))

Looking at the options, the answer is C.

g(f(x)) = f(x) + 3 = sqrt (x) + 3 = h(x)
victus00 [196]3 years ago
6 0
The answer is D. :) DDDDDD
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Simplify 4 ^ 9 x 4 ^ 3​
storchak [24]

1. 4 ^ 9 x 4 ^ 3​

2. 4^9+3

answer: 4^12

Good luck!

8 0
2 years ago
If the perimeter of a square is 20, find the length of a diagonal
avanturin [10]

Answer:

7.07

Step-by-step explanation:

<h2><u>Length</u></h2>

a square has equal length on each side

hence is the perimeter is 20 it means that :

each side is 20/4 = 5

we can make a diagonal line which create 3 right angled triangles

2 sides of the triangle are 5 , this is the base and the height

to find the length we can make use of the Pythagoras theorem

c^2 = a^2 + b^2

c is the hypotenuse ( the diagonal;)

a and b are the opposite and adjacent

hence :

c^2 = 5 ^2 + 5^2

c^2 = 50

c = \sqrt{50}

c = 7.071

to 3sf

<h3><u>diagonal length  = 7.07</u></h3>

6 0
3 years ago
The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 247.9 and a standard deviation of
labwork [276]

Answer:

A) Approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 118.5 and 377.3 = 95%

B) approximate percentage of women with platelet counts between 53.8 and 442.0 = 99.7%

Step-by-step explanation:

We are given;

mean;μ = 247.9

standard deviation;σ = 64.7

A) We want to find the approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 118.5 and 377.3.

Now, from the image attached, we can see that from the empirical curve, the probability of 1 standard deviation from the mean is (34% + 34%) = 68 %.

While probability of 2 standard deviations from the mean is (13.5% + 34% + 34% + 13.5%) = 95%

Thus, approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 118.5 and 377.3 = 95%

B) Now, we want to find the approximate percentage of women with platelet counts between 53.8 and 442.0.

53.8 and 442.0 represents 3 standard deviations from the mean.

Let's confirm that.

Since mean;μ = 247.9

standard deviation;σ = 64.7 ;

μ = 247.9

σ = 64.7

μ + 3σ = 247.9 + 3(64.7) = 442

Also;

μ - 3σ = 247.9 - 3(64.7) = 53.8

Again from the empirical curve attached, we cans that at 3 standard deviations from the mean, we have a percentage probability of;

(2.35% + 13.5% + 34% + 34% + 13.5% + 2.35%) = 99.7%

5 0
2 years ago
According to historical data, it is believed that 12% of American adults work more than one job. To investigate if this claim is
kogti [31]

Answer:

The answer is "Option C"

Step-by-step explanation:

Please find the complete question in the attached file.

In this question its value of P is 0.0644, the significance level is higher than 0.05. Which doesn't reject H_o,

4 0
3 years ago
Find the area of a square with side of 7 feet.<br> 56ft<br> 49ft<br> 14ft
dalvyx [7]

Answer:

A=49ft

Step-by-step explanation:

The area of this square is 49ft.

Hope it helps ☺

6 0
3 years ago
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