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Natalija [7]
2 years ago
9

A sequence starts from -2. The term to term rule is 'square and subtract 3' find the first six numbers of the sequence

Mathematics
1 answer:
alexandr1967 [171]2 years ago
6 0

Answer:

The first six numbers are -2,1,-2,1,-2,1

Step-by-step explanation:

First term is -2

The term to term rule is 'square and subtract 3'

Second term=(-2)^{2} -3=1

Third term=(1)^{2} -3=-2

Fourth term=(-2)^{2} -3=1

Fifth term=(1)^{2} -3=-2

Sixth term=(-2)^{2} -3=1

The first six numbers are -2,1,-2,1,-2,1

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Step-by-step explanation:

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3 years ago
Mr. Mole left his burrow and started digging his way down at a constant rate. Time (minutes) Altitude (meters) 666 -20.4−20.4min
Juli2301 [7.4K]

Answer:

-6 meters.

Step-by-step explanation:

We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.

We are also given a table of data as:

Time (minutes)     Altitude (meters)

6                                   -20.4

9                                   -27.6

12                                   -34.8

First of all, we will find Mr. Mole's digging rate using slope formula and given information as:

m=\frac{y_2-y_1}{x_2-x_1}, where,

y_2-y_1 represents difference of two y-coordinates,

x_2-x_1 represents difference of two corresponding x-coordinates of y-coordinates.

Let (6,-20.4) be (x_1,y_1) and (9,-27.6) be (x_2,y_2).

m=\frac{-27.6-(-20.4)}{9-6}

m=\frac{-27.6+20.4}{3}

m=\frac{-7.2}{3}

m=-2.4

Now, we will use slope-intercept form of equation to find altitude of Mr. Mole's burrow.

y=mx+b, where,

m = Slope,

b = The initial value or the y-intercept.

Upon substituting m=-2.4 and coordinates of point (6,-20.4), we will get:

-20.4=-2.4(6)+b

-20.4=-14.4+b

-20.4+14.4=-14.4+14.4+b

-6=b

Since in our given case y-intercept represents the altitude of Mr. Mole's burrow, therefore, the altitude of Mr. Mole's burrow is -6 meters.

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3 years ago
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4x-2= -14<br> what value of x makes 4x-2= -14 true?
ad-work [718]

-6

<u>4 x (-6)</u> - 2

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Answer:

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Step-by-step explanation:

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To check.

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