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charle [14.2K]
3 years ago
10

Determine if the sequence is algebraic or geometric, and find the common difference or ratio. x 1 2 3 4 f(x) 81 72 63 54

Mathematics
1 answer:
sergeinik [125]3 years ago
6 0

Answer:

The given sequence is Algebraic (Arithmetic) with common difference is -9.

Step-by-step explanation:

The given sequence is Arithmetic Sequence.

Arithmetic Sequence is a sequence in which every two neighbor digits have equal distances.

Geometric Sequence is the sequence in which every digit is the same multiplier of its previous digit.

The given sequence is: 81, 72, 63, 54,...

Here, First term(a) = 81,  Second term(b) = 72

Common difference (d) = b - a = 72 - 81 = -9

Hence, Common difference is -9.

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Alex17521 [72]
If it is perpendicular then the slope of it will be:

-3 \times x = -1\\\\x = \frac{1}{3}

y = 1/3 x + b

-1 = (1/3)(3) + b

-1 = 1 + b

b = -2

The equation is:

y = \frac{1}{3}x - 2
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3 years ago
What is the equation of the line ?
Ronch [10]

Look at the picture.

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-3, -3) and (2, 0). Substitute:

m=\dfrac{0-(-3)}{2-(-3)}=\dfrac{3}{5}\\\\y-0=\dfrac{3}{5}(x-2)\qquad|\text{use distributive property}\\\\y=\dfrac{3}{5}x-\dfrac{6}{5}\qquad|\cdot5\\\\5y=3x-6\qquad|-5y\\\\0=3x-5y-6\qquad|+6\\\\3x-5y=6

Answer:

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slope-intercept form: y=\dfrac{3}{5}x-\dfrac{6}{5}

standard form: 3x-5y=6

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Which exponential function matches the table?
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Dwight creates a table of values for a function and plots the points. He finds that one y value divided by the next y value prod
Mashcka [7]

we know that

The exponential function is of the form

f(x)=a^{x}

where

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In General:

It is always greater than 0, and never crosses the x-axis

It always intersects the y-axis at y=1

Its Domain is the Real Numbers

Its Range is the Positive Real Numbers

Examples

Let

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1) For x=2

f(2)=3^{2} \\ f(2)=9

2) For x=3

f(3)=3^{3} \\ f(3)=27

3) For x=4

f(4)=3^{4} \\ f(4)=81

4) For x=5

f(5)=3^{5} \\ f(5)=243

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f(5)/f(4)=\frac{243}{81} \\ =3

therefore

the answer is the option

D.) exponential

5 0
3 years ago
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If Jenny exercise 18.8hrs in a week, it means she will exercise 18.8×w/1 in w weeks which gives 18.8w weeks.

5 0
3 years ago
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