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Snezhnost [94]
3 years ago
9

Give the first 4 terms of the arithmetic sequence for which a(1) = -8 and d = 3.

Mathematics
1 answer:
cestrela7 [59]3 years ago
4 0

Answer:

a. -8, -5, -2, 1

Step-by-step explanation:

From the formulae,

tn= a + (n-1) d

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For the first, simply plug in the value of x given (x = 2) into the equation: \left\frac{3}{4}x^2 + 5\right.|_{x=2} = \frac{3}{4}\left ( 2^2 \right )+5 = 8.

So, 8 would be your answer.

For the second, the sum of x and 2 would be expressed as x + 2. Twice this sum would be written as 2(x+2). Finally, 8 less than twice that sum would be written as 2(x+2) - 8, which would be your expression.

For the last question, the coefficient refers to the number directly in front of the variable, x. So you need only to check what the x would simplify to in each equation and look for the expression where x has no coefficient (i.e., its coefficient is 1). For Hunter, the coefficient would be 15 (5 × 3x = 15x); for Michael, the coefficient would be 11 (6x + 5x = 11x); for Nate, the coefficient would be 1 (x = 1x); and for Spencer, the coefficient would be 2 (2x = 2x). Thus, Nate's expression has a coefficient of 1 when simplified.

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Zielflug [23.3K]

Answer:

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Step-by-step explanation:

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Find an equation for the linear function which has y-intercept-2 and x-intercept 9. fx =
oksano4ka [1.4K]

Answer:

f(x) = -2x +9

Step-by-step explanation:

We can use the slope intercept form

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Answer:

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Step-by-step explanation:

The direct variation relationship is y = kx, where k is the const. of var.

Subbing 3 for x and 2 for y, 2 = 3k, or k = 2/3.

Now, if x = -0.5, y = (2/3)(-1/2) = -1/3

k is 2/3 and y is -1/3 when x is -0.5.

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3 years ago
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