1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aleonysh [2.5K]
3 years ago
7

Need help in this mathquestion. The function h(x)=(x+2)^2 can be expressed in the form f(g(x)) where f(x)=x^2 , and g(x) is defi

ned below:
Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0

Answer:

In a nutshell, g(x) = x+2.

Step-by-step explanation:

A composition is operation between function that consist in replacing the independent variable of the first function, f(x) in this case, for g(x). Common notations for composition between functions are f(g(x)) and f\circ g (x). If we know that h(x) = f\circ g (x) = (x+2)^{2} and f(x) = x^{2}, then g(x) = x+2.

In a nutshell, g(x) = x+2.

You might be interested in
According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries
blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5.1% of burglaries are cleared with arrests.

This means that p = 0.051

A new detective is assigned to six different burglaries.

This means that n = 6

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1)

Then

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695

26.95% probability that at least one of them is cleared with an arrest

8 0
2 years ago
If ∠x= 55, then find the values of a, b, c and d
AnnyKZ [126]

Answer:

???????????????????????????????

8 0
2 years ago
What is the value of x in the equation x - 2/3 + 1/6 = 5/6?<br><br> 1) 4<br> 2) 6<br> 3) 8<br> 4) 11
Licemer1 [7]

Answer:

\large\boxed{x=\dfrac{4}{3}=1\dfrac{1}{3}}

Step-by-step explanation:

x-\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{5}{6}\qquad\text{multiply both sides by 6}\\\\6x-6\!\!\!\!\diagup^2\cdot\left(\dfrac{2}{3\!\!\!\!\diagup_1}\right)+6\!\!\!\!\diagup^1\cdot\left(\dfrac{1}{6\!\!\!\!\diagup_1}\right)=6\!\!\!\!\diagup^1\cdot\left(\dfrac{5}{6\!\!\!\!\diagup_1}\right)\\\\6x-(2)(2)+1=5\\\\6x-4+1=5\\\\6x-3=5\qquad\text{add 3 to both sides}\\\\6x=8\qquad\text{divide both sides by 6}\\\\x=\dfrac{8}{6}\\\\x=\dfrac{8:2}{6:2}\\\\x=\dfrac{4}{3}

3 0
3 years ago
Read 2 more answers
An isosceles trapezoid is a quadrilateral with two congruent legs, a pair of parallel bases, and congruent base angles. Prove th
seraphim [82]

Answer:

The answer is below

Step-by-step explanation:

We must first define the concepts a little:

We have that when the sides are congruent that is to say that they have the same direction and the same size and also the two opposite sides are parallel, the angles will be the same.

Now, in an isosceles triangle, two angles are congruent, because their two sides are congruent.

3 0
3 years ago
The height of the plant is given by the equation h = 0.5d + 4. Rewrite this as a function rule where f(x) is the height, in cent
ad-work [718]

Answer:

Here's what I get  

Step-by-step explanation:

h = 0.5d + 4

A function rule tells you how to convert an input value (x) into an output value (y).

Your function rule is

ƒ(x) = 0.5x + 4

An easy way to represent your function is to make a graph.

The easiest way to make a graph is to make a table containing some inputs and their corresponding outputs.  

Here's a typical table.

\begin{array}{cc}\textbf{x}  &\textbf{y} \\0 & 4 \\2 & 5 \\4 & 6 \\6 & 7\\6 & 8 \\\end{array}

The graph is like the one below.

4 0
3 years ago
Other questions:
  • What is the range of f(x) = A cos(x) +b or<br> g(x) = A sin(x)+b?
    10·1 answer
  • What is the value of the expression?<br><br> 25+310−79
    10·2 answers
  • your test grades are 85,74, and 91. What is the lowest grade you can get on the next test and have an average of at least 80
    8·2 answers
  • Triangle XYZ is reflected across the x-axis, and X = (–11, 8). What are the coordinates of X’ ? (11,–8) (–8, 11) (11, 8) (–11, –
    8·2 answers
  • An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in fire control by the number of sprinklers t
    8·1 answer
  • Help ! please ! with 13, 14, 15, 16, 17, 18, 19, 20, 21,
    14·1 answer
  • Find the value of x when y=13. Y=-3x+4
    7·1 answer
  • . You have a coupon for 30% off. If your subtotal is $65, what is the price of your final bill once the discount is applied?
    15·1 answer
  • A sphere with a diameter of 18cm. find the volume
    14·1 answer
  • Write an expression to represent ( 2 times the difference of t and 11 )
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!