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kaheart [24]
2 years ago
10

Think about the function f(x) = 10 - x3. What is the input, or independent variable? f(x) x y What is the output, or dependent v

ariable or quantity? x f(x) y What does the notation f(2) mean? multiply f by 2 the output (y-value) when x = 2 the value of x when the output is 2 Evaluate f(2) =
Mathematics
3 answers:
k0ka [10]2 years ago
8 0
F(2) means function 2 f(2)=f(X))
Marizza181 [45]2 years ago
8 0

Answer:

x is the input, or independent variable and f(x) is the output, or dependent variable or quantity. f(2) represents the output (y-value) when x = 2. The value of f(2) is 2.

Step-by-step explanation:

If the values of a variable depends on the other variable, then it called dependent variable.

If the value of a variable does not depend on the other, then it is called independent variable.

If a function is f(x)=x, then x is an independent variable and f(x) is a dependent variable.

The given function is

f(x)=10-x^3

Here, x is the input, or independent variable and f(x) is the output, or dependent variable or quantity.

The notation f(a) represents the output (y-value) when x = a. So, f(2) represents the output (y-value) when x = 2.

Substitute x=2 in the given function.

f(2)=10-(2)^3

f(2)=10-8

f(2)=2

The value of f(2) is 2.

Guest1 year ago
0 0

GRAB AND GO ANSWERS:
1. B) x
2. B) f(x)
3. B) the output (y-value) when x=2
4. ANSWER IS 2

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Find the standard deviation of the following data. Answers are rounded to the nearest tenth. 5, 5, 6, 12, 13, 26, 37, 49, 51, 56
kogti [31]

Answer:

24.2(to the nearest tenth)

Step-by-step explanation:

The question is ungrouped data type

standard deviation =√ [∑ (x-μ)² / n]

mean (μ)=∑x/n

           = \frac{5+5+6+12+13+26+37+49+51+56+56+84}{12}

          =33.3

x-μ   for data 5, 5, 6, 12, 13, 26, 37, 49, 51, 56, 56, 84 will be

                   -28.3, -28.3, -27.3, -21.3, -7.3, 3.7, 15.7,17.7, 22.7,22.7,50.7

(x-μ)² will be 800.89, 800.89,745.29,453.69,53.29,13.69,246.49,313.29,515.29,515.29,2570.49

∑ (x-μ)² will be = 7028.59

standard deviation = √(7028.59 / 12)

                      =24.2

     

6 0
2 years ago
erica is making necklaces and bracelets to se at the craft show. it takes her 3 hours to make a necklace and 2 hours to make a b
bagirrra123 [75]

Answer:

Erica should make at least 10 necklaces and 15 bracelets to maximize her profit of P  =  (18 x + 15 y)

Step-by-step explanation:

Let the number of necklaces made =  x

Let the number of bracelets made by Erica  = y

Now, the time taken to make each necklace = 3 hrs

⇒The time taken to make x necklaces = x  times 3 hours  = 3x

Also, the time taken to make each bracelet = 2 hrs

⇒The time taken to make y necklaces = y  times 2 hours  = 2y

So, total time taken to make x necklace and y bracelets =  3x + 2y

Now selling cost of 1 necklace = $18

Also, selling cost of 1 bracelet = $15

So, total selling price of x necklace and y bracelets =  18 x + 15 y

So according to the question:

x + y =  25 ..... (1)

3x + 2y = 60  ....  (2)

Solving the above system  substitute y =  25- x in (1)

we get: 3x + 2y = 60 ⇒  3x + 2(25 -x) = 60

or, x = 10

⇒ y = 25 - x  =  25 - 10 = 15, or y = 15

So, she should make at least 10 necklaces and 15 bracelets to maximize her profit of P  =  (18 x + 15 y)

8 0
2 years ago
Read 2 more answers
The price per night for a hotel room is different at three different hotels.
Damm [24]
I think you meant it to be not repeating 3 times so
You do 192/3 is 60*3= 180 leaving you with 12 which is 4*3. So 64 is A
Then it’s 300/5 which is 60
455/7. So first see, if I multiply 7 by 60 is it over or under. If it’s over then B is the least and if it is less then C is the least. So 7 *60 is 420
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4 0
2 years ago
A recipe for casserole calls for 2 cups of rice. The recipe makes 6 servings of casserole. how many cups of rice will you need t
ss7ja [257]

You will need 3.333.... cups of rice to make 10 servings of casserole.

<u><em>Explanation</em></u>

The recipe which makes 6 servings of casserole, needs 2 cups of rice.

Suppose, you need x cups of rice for making 10 servings of casserole.

Now, the equation according to <u>the ratio of "cups of rice" to the "servings of casserole" </u>will be.....

\frac{x}{10}=\frac{2}{6}\\ \\ 6x= 2*10=20\\ \\ x=\frac{20}{6}=3.333.....

So, you will need 3.333.... cups of rice to make 10 servings of casserole.


5 0
2 years ago
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Volgvan

Answer: We reject the null hypothesis, and we use Normal distribution for the test.

Step-by-step explanation:

Since we have given that

We claim that

Null hypothesis : H_0:\mu\geq 50000

Alternate hypothesis : H_1:\mu

There  is 5% level of significance.

\bar{X}=46800\\\\\sigma=9800\\\\n=29

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Since alternate hypothesis is left tailed test.

So, p-value = P(z≤-2.31)=0.0401

And the P-value =0.0401 is less than the given level of significance i.e. 5% 0.05.

So, we reject the null hypothesis, and we use Normal distribution for the test.

4 0
2 years ago
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