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3 years ago

Find an explicit formula for the arithmetic sequence 170, 85, 0, -85,....

2 answers:

7 0

The arithmetic sequence is x - 85 for each one.

170 - 85 = 85
85 - 85 = 0
0 - 85 = -85
and so on

so you subtract 85 each time

hope this helps

Mamont248 [21]3 years ago

3 0

Answer:

170-85(n-1)

Step-by-step explanation:

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Find the measurements (the length L and the width W) of an inscribed rectangle under the line with the 1st quadrant of the x &am

Leni [432]

The question is incomplete. Here is the complete question.

Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = - $\frac{3}{4}$ x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.

Answer: L = 1; W = 9/4; A = 2.25;

Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:

A = x.y

A = x(- $\frac{3}{4}.x + 3$ )

A = - $\frac{3}{4}.x^{2} + 3x$

To maximize, we have to differentiate the equation:

$\frac{dA}{dx}$ = $\frac{d}{dx}$ (- $\frac{3}{4}.x^{2} + 3x$ )

$\frac{dA}{dx}$ = -3x + 3

The critical point is:

$\frac{dA}{dx}$ = 0

-3x + 3 = 0

x = 1

Substituing:

y = - $\frac{3}{4}$ x + 3

y = - $\frac{3}{4}$ .1 + 3

y = 9/4

So, the measurements are x = L = 1 and y = W = 9/4

The maximum area is:

A = 1 . 9/4

A = 9/4

A = 2.25

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3 years ago

Which equations for the line of best fit do not accurately represent the data in the scatter plot? Select all that apply.

Inessa [10]

Concluding, the equations that do not accurately represent the data in the scatter plot are B, C, and D.

<h3></h3><h3>Which equations do not accurately represent the data in the scatter plot?</h3>

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Then the linear fit must have a negative slope, from that, we can discard options B and C.

Now, we also can see that the line starts almost at y = 70.

If you look at the option D, you can see that the constant term of that line is -70, so we can also discard that option.

Concluding, the equations that do not accurately represent the data in the scatter plot are B, C, and D.

If you want to learn more about scatter plots:

brainly.com/question/6592115

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1 year ago

Find the slope of the line that passes through (-4, -34) and (84, -66).

Dimas [21]

Answer:Look at picture :)

Step-by-step explanation:

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3 years ago

? the coordinates of a, b, c, and d are a (-6, 1), b (-9, 4), c (-1, 1), and d (-7, 6). how are ab←→ and cd←→ related? they are

balandron [24]

AB :
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3 years ago

Jessica made plans to weave a rectangular jute rug, but she needs to update the plans to change the dimensions of the rug. The o

loris [4]

Answer:

Length of rug in original design is 36 inches .

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Thus new length of rug is ( 3x + 36 ) inches .

New width of rug is x inches wider than the rug in the original plans which is 60 inches in original plan .

Thus new width of rug is ( x + 60 ) inches .

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We distribute the terms using FOIL method .

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= 3x² + 3x * 60 + 36 x + 36 * 60

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3 years ago

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