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Nadusha1986 [10]
3 years ago
9

What is the common difference between successive terms in the sequence​

Mathematics
1 answer:
Lelechka [254]3 years ago
4 0

9,2.5,-4,-10.5,-17

Let's find the difference between two consecutive terms

2.5 - 9 = -6.5

-4 - 2.5 = -6.5

-10.5 - (-4) = -6.5

-17 -(-10.5) = -6.5

We can see that the common difference is -6.5

-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17

the common difference is negative because we subtract 6.5 to get the next term.

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Find the equation of the axis of symmetry of the following parabola algebraically.
mr Goodwill [35]

Answer:

the equation of the axis of symmetry is x=8

Step-by-step explanation:

Recall that the equation of the axis of symmetry for a parabola with vertical branches like this one, is an equation of a vertical line that passes through the very vertex of the parabola and divides it into its two symmetric branches. Such vertical line would have therefore an expression of the form: x=constant, being that constant the very x-coordinate of the vertex.

So we use for that the fact that the x position of  the vertex of a parabola of the general form: y=ax^2+bx+c, is given by:

x_{vertex}=\frac{-b}{2\,a}

which in our case becomes:

x_{vertex}=\frac{-b}{2\,a} \\x_{vertex}=\frac{48}{2\,(3)} \\x_{vertex}=\frac{48}{6} \\x_{vertex}=8

Then, the equation of the axis of symmetry for this parabola is:

x=8

4 0
3 years ago
A set of symbols that expresses a mathematical rule is called a
Elenna [48]

Answer:

A set of symbols that expresses a mathematical rule or principle; for example, the formula for the area of a rectangle is a = lw, where a is the area, l the length, and w the width. The American Heritage® Student Science Dictionary, Second Edition.

Step-by-step explanation:

8 0
3 years ago
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Given the points (8,9) and (2,7) find the slope M=
Goshia [24]

Answer:

1/3

Step-by-step explanation:

7-9=-2

2-8=-6

2/6 is 1/3 when simplified

3 0
3 years ago
Stear Corp. has an opening inventory of $2,500. During the year, it made purchases worth $55,000. at the end of the accounting p
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Answer:

B

Step-by-step explanation:

3 0
3 years ago
Stephanie rdes her bike 2 miles to the post office, and then another 50 yards to the train station. How many yards long was her
mestny [16]
There are 1,760 yards in a mile.

Multiply 1,760 by 2 = 3,520

Add 50 to 3,520 = 3,570

Stephanie's trip was 3,570 yards long.
7 0
3 years ago
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