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Vikki [24]
2 years ago
11

Is the sequence {4, 7, 10, 13, 16, ...} a function? Explain.

Mathematics
1 answer:
jek_recluse [69]2 years ago
3 0

Step-by-step explanation:

tricky, as the sequence does not define the input values.

by we can assume that the corresponding input values are 1, 2, 3, 4, 5, ... as it is usual for a sequence.

in that sense, b is the correct answer.

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F(x) = -4x2 + 4x – 4<br> Find f(3)
ValentinkaMS [17]

F(3) occurs when x =3. So lets plug 3 into our equation.

f(3) = -4(3)^2 + 4(3)-4\\f(3) = -4(9) + 12- 4\\f(3) = -36 + 12- 4\\f(3)= -28

F(3) = -28

I hope this helps! :)

5 0
2 years ago
The table shows how many males and females attended two different movies. How would you find the joint relative frequency of bei
kirza4 [7]

Answer:

B. Divide 124 by 229.

Step-by-step explanation:

Given the table

\begin{array}{cccc}&\text{Action}&\text{Drama}&\text{Total}\\ \\\text{Male}&105&124&229\\ \\\text{Female}&99&151&250\\ \\\text{Total}&204&275&479\end{array}

The <u>joint relative frequency</u> is the ratio of the frequency in a particular category and the total number of data values.

The total number of males =229

The number of males that like drama =124

So, to find the joint relative frequency of being male and attending a drama movie, you should divide 124 by 229.

8 0
3 years ago
Read 2 more answers
An open box is to be made out of a 12-inch by 20-inch piece of cardboard by cutting out squares of equal size from the four corn
Natali5045456 [20]

Answer:

Length = 15.14, width = 7.14 and height = 2.43  inches.

( correct to the nearest hundredth).

Step-by-step explanation:

Let the lengths of the squares cut out be x inches.

Then the width of the box will be 12 - 2x and the length will be

20 - 2x inches.

The height of the box is x inches.

Volume V = x(20-2x)(12-2x)

To find the value of x when V is a maximum we find the derivative and equate it to zero.

V = x( 240 - 64x + 4x^2)

V = 4x^3 - 64x^2 + 240x

dV/dx = 12x^2 - 128x + 240 = 0

4(3x^2 - 32x + 60) = 0

This won't factor so we use the formula:

x = [-(-32) +/- √((-32)^2 - 4*3*60)] / 6

= 8.24, 2.43.

So one of these gives a maximum Volume.

The second derivative

d^2V/dx^2 = 24x - 128

When x = 8.24,  this = 69.6 (positive) so this gives a minimum.

x = 2.43 gives a negative  value ( -49.7)  so this is the maximum

So the dimensions are:-

length = 20 - 2(2.43) = 15.14

width = 12 - 2(2.43) = 7.14

height = 2.43.

7 0
2 years ago
Please help me with this problem!
pantera1 [17]
12/100x10000 = 1200

17/100x8000= 1360

1360+1200 = 2560

18000 - 2560 = $15,440 (final cost)

5 0
3 years ago
7= 10-g ÷ (-2) <br> What Is G ?
zaharov [31]
7=10-\frac{g}{-2}\ \ \ \ | subtract\ 10\\\\&#10;-3=-\frac{g}{-2}\ \ \ \ | multiply\ by\ -2\\\\&#10;6=-g\ \ \ | multiply\ by\ -1\\\\&#10;g=-6&#10;
3 0
3 years ago
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