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gogolik [260]
4 years ago
15

Which table represents a linear function?

Mathematics
1 answer:
SCORPION-xisa [38]4 years ago
5 0

Answer:

  see below (upper left)

Step-by-step explanation:

When the x-values are sequential, a linear function will have y-values that differ by the same amount.

The upper left table has y-values that differ by -2.

The upper right table has y-values that differ by 2, -6, 2. These values are not the same.

The lower left table has y-values that differ by -1, 5, -13. These values are not the same.

The lower right table has y-values that differ by 1, 3, 5. These values are not the same.*

__

The upper left table represents a linear function.

_____

* The <em>2nd</em> differences are a constant 2, so this table represents a <em>2nd</em>-degree polynomial.

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sergij07 [2.7K]

Answer:

The area of the end is 1755.44 ft²

Therefore, the maximum error in calculating area of the end is 8.3592

Step-by-step explanation:

Consider the provided information.

The length of the base is measured to be 35 feet, with a maximum error in measurement of 1 inch,

1\ inch = \frac{1}{12}\ feet

The area of shape = Area of square + Area of equilateral triangle

A=x^2+\frac{\sqrt{3}}{4}x^2

Substitute x=35 in above.

A=(35)^2+\frac{\sqrt{3}}{2}\times (35)^2=1755.44

Hence, the area of the end is 1755.44 ft²

Differentiate A=x^2(1+\frac{\sqrt{3}}{4}) with respect to x as shown:

dA=2x\ dx(1+\frac{\sqrt{3}}{4})

Substitute dx =1/12 and x=35

dA=2(35)\ \frac{1}{12}(1+\frac{\sqrt{3}}{4})=8.3592

Therefore, the maximum error in calculating area of the end is 8.3592

6 0
3 years ago
Identify the sequence of transformations that maps ABCD to JKLM.
laila [671]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, no diagram is attached, but I would show how to solve it.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is reflected across the x axis, the new point is at A'(x, -y).

If a point A(x, y) is reflected across the y axis, the new point is at A'(-x, y).

If a point A(x, y) is translated a units up and b units right, the new point is at A'(x + a, y + b).

If a point A(x, y) is translated a units down and b units left, the new point is at A'(x - a, y - b).

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3 years ago
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Ilia_Sergeevich [38]

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3 years ago
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Answer: in five years time, the sales would be $100367

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total sales at the end of t years

r represents the growth rate.

n represents the periodic interval at which it was compounded.

P represents the current sales.

t represents the time in years

From the information given,

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n = 11 because it was compounded once in a year.

t = 5 years

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