Find the 29th term in the arithmetic sequence: -13, -6, 1, 8........

Mathematics

1 answer:

alexandr1967 [171]3 years ago

8 0

Answer:

183

Step-by-step explanation:

a₁ = -13

common difference = a₂ - a₁

= (-6) - (-13)

= -6 + 13

d = 7

nth term = a₁ + (n - 1)d

29th term = -13 + 28 * 7

= -13 + 196

= 183

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Katen [24]

Answer:

x=40

Step-by-step explanation:

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Subtract 140 from each side

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5 0

3 years ago

the graph of the function f(x) = ax^2 + bx + c (where a, b, and c are real and non zero) has two x- intercepts. explain how to f

Dovator [93]

The vertex of the parabola is given by :

$\displaystyle{ ( \frac{-b}{2a}, f(\frac{-b}{2a}) )$ .

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The line of symmetry divides the parabola into 2 symmetrical parts: the x-intercepts are also symmetrical to each other with respect to this line.

So, if one of the x-intercepts is $\displaystyle{ (\frac{-b}{2a}+3, 0)$ , that is 3 units to the right of the x-intercept, the other must be 3 units to the left. Thus, the second x-intercept is :

Answer: $\displaystyle{ (\frac{-b}{2a}-3, 0)$ ,