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White raven [17]
2 years ago
11

Suppose that the functions p and q are defined as follows. p(x)=x+1 q(x)=2x^2-2

Mathematics
1 answer:
Orlov [11]2 years ago
4 0

The value of (p*q)(5) and (q*p)(5) is 288

<h3>How to determine the composite functions?</h3>

The functions are given as:

p(x)=x+1

q(x)=2x^2-2

Calculate p(5) and q(5)

p(5)=5+1 = 6

q(5)=2(5)^2-2 = 48

The functions are then calculated as:

(p*q)(5) = p(5) * q(5)

(p*q)(5) = 6 * 48

(p*q)(5) = 288

Also, we have:

(q*p)(5) = (p*q)(5)

(q*p)(5) = 288

Hence, the value of (p*q)(5) and (q*p)(5) is 288

Read more about composite functions at:

brainly.com/question/20379727

#SPJ1

<u>Complete question</u>

Suppose that the functions p and q are defined as follows. p(x)=-x-1 q(x)=-2x^2-2 Find the following. (p*q)(5) (q*p)(5)

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alina1380 [7]

Answer:

1.89 is the standard deviation of households who own a riding mower

Step-by-step explanation:

Let the random variable X denote the number of households owning a riding lawn mower. From the given information, X will be a Binomial random variable with parameters; n = 17 and  p = 30% = 0.3

The standard deviation of X;

\sqrt{n*p*(1-p)}

\sqrt{17*0.3*(1-0.3)} =1.89

7 0
3 years ago
Mr. Thomas spent $1,600 of his savings on a television set and 2/5 of the remainder on a refrigerator. He had 1/3 of his origina
Katena32 [7]

Answer:

The amount spent on the refrigerator is $ 800 .

Step-by-step explanation:

Given as :

The amount spent on television = $ 1600

Le The total amount in the account = $ A

so, The amount left in account after spent on television = $ A - $ 1600

The amount spent on refrigerator = \frac{2}{5} × ( A - 1600 )

The amount left in his saving account = \frac{1}{3} × A

Now, According to question

A - ( 1600 +  \frac{2}{5} × ( A - 1600 ) ) =  \frac{1}{3} × A

Or, A -  \frac{1}{3} × A = 1600 +   \frac{2}{5} × ( A - 1600 )

Or, \frac{2}{3} × A = 1600 + \frac{2}{5} × A - \frac{2}{5} × 1600

or,  \frac{2}{3} × A -  \frac{2}{5} × A = 1600 - 640

Or,  \frac{10 - 6 }{15} × A = 960

or,  \frac{4}{15} × A = 960

∴ A = \frac{960\times 15}{4}

I.e A = 3600

So, The amount in the saving account  is $3600

∵ , The amount spent on refrigerator = \frac{2}{5} × ( 3600 - 1600 )

Or,  The amount spent on refrigerator = \frac{2}{5} × 2000

I.e  The amount spent on refrigerator = $ 800

Hence The amount spent on the refrigerator is $ 800 . Answer

4 0
3 years ago
In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10
DochEvi [55]

9514 1404 393

Answer:

  55,637.8 square inches

Step-by-step explanation:

We can find side n using the Law of Sines:

  n/sin(N) = p/sin(P)

  n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)

  n ≈ 542.246913 . . . . inches

The angle O is ...

  O = 180° -N -P = 180° -64° -96° = 20°

Then the area is ...

  A = 1/2·np·sin(O)

  A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²

The area of ∆NOP is about 55,637.8 in².

7 0
3 years ago
Rearrange to make x the subject<br> 4(x-3)/a=y
klio [65]

Answer:

Answer: x = a*y + 3

Step-by-step explanation:

To make x the subject of the equation, first, we open the bracket

4x - 12/a = y

Then cross multiply:

4x - 12 = a * y ( a*y means the product of the two variables)

Add 12 to both sides of the equation

4x = a*y + 12

Divide both sides by 4 to get the value of x

x = a * y + 12/4

x = a*y + 3

3 0
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Sunny_sXe [5.5K]

Answer:

1. is a solution

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3. not a solution

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7. is a solution

8. not a solution

Step-by-step explanation:

5 0
2 years ago
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