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MariettaO [177]
3 years ago
13

Assume that children is an integer variable containing the number of children in a community and that families is an integer var

iable containing the number of families in the same community. Write an expression whose value is the average number of children per family.
Mathematics
1 answer:
Fiesta28 [93]3 years ago
7 0

Answer:

children / (double) families.

Step-by-step explanation:

Integer division returns an Integer value in most languages. I'm assuming "1d" is a double-precision 1, which turns the expression into a floating point division.

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Given f(x) = 4x^4 find f^-1(x) Then state whether f^-1(x) is a function.
sdas [7]

Answer:

  • f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}
  • f^{-1}(x) \quad\text{is not a function}

Step-by-step explanation:

To find the inverse function, solve for y:

x=f(y)\\\\x=4y^4\\\\\dfrac{x}{4}=y^4\\\\\pm\sqrt[4]{\dfrac{x}{4}}=y\\\\f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}

f(x) is an even function, so f(-x) = f(x). Then the inverse relation is double-valued: for any given y, there can be either of two x-values that will give that result.

___

A function is single-valued. That means any given domain value maps to exactly one range value. The test of this is the "vertical line test." If a vertical line intersects the graph in more than one point, then that x-value maps to more than one y-value.

The horizontal line test is similar. It is used to determine whether a function has an inverse function. If a horizontal line intersects the graph in more than one place, the inverse relation is not a function.

__

Since the inverse relation for the given f(x) maps every x to two y-values, it is not a function. You can also tell this by the fact that f(x) is an even function, so does not pass the horizontal line test. When f(x) doesn't pass the horizontal line test, f^-1(x) cannot pass the vertical line test.

_____

The attached graph shows the inverse relation (called f₁(x)). It also shows a vertical line intersecting that graph in more than one place.

5 0
2 years ago
1 4/8 in a improper fraction?
stiv31 [10]
<h2>Answer:\frac{3}{2}<u><em></em></u></h2>

Step-by-step explanation:

Step 1: Multiply the whole number part (1) by the denominator (8).

1 × 8 = 8

Step 2: Add the product from Step 1 (8) to the numerator (4).

8 + 4 = 12

Step 3: Write that result (12) above the denominator. So,

\frac4{8}{1}

Step 4: The fraction \frac{12}{8}

Can be reduced by dividing both numerator and denominator by the GCD(12,8) = 4. Thus,

\frac1{4}{8} =\frac{3}{2}

8 0
2 years ago
Best Answer gets BRAINLIEST!!!
Bumek [7]

Answer:

maybe is b

Step-by-step explanation:

but just wait to other people

8 0
2 years ago
Read 2 more answers
Label the terms in the expression as constant, linear, and quadratic
Masteriza [31]

Answer:

Step-by-step explanation:

4x^2 is the quadratic

3x is linear

-6 is the constant.

8 0
3 years ago
Find the volume of the composite solid. Round your answer to the nearest tenth.​
amm1812

Answer:

Volume of the Figure =825.38m^3

Step-by-step explanation:

Volume of the figure = Volume of the Upper cone+Volume of the lower cone

Volume of a cone = \pi *r^2*\frac{h}{3}

Volume of the Upper Cone with  

height=12m

radius=6m

                       3.14*6*6*\frac{12}{3}

                        =3.14*6*6*4\\\\=3.14*36*4\\\\=3.14*144\\\\=147.14m^3

Volume of the Lower cone with radius=6m and height=18m

                            =3.14*6*6*\frac{18}{3} \\\\=3.14*6*6*6\\\\=3.14*36*6\\\\=3.14*216\\\\=678.24m^3

Volume of the Whole Figure =   147.14+678.24

Volume of the Figure  =825.38m^3

4 0
3 years ago
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