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Tresset [83]
3 years ago
12

What is the fourth term of this sequence? (explanations appreciated!)

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
7 0

Answer:

Forth term of the sequence is 61

Step-by-step explanation:

Let's just go from a1 to a4:

a1 = 5

a2 = 2x5+3 = 13

a3 = 2x13+3 = 29

a4 = 2x29+3 = 61

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Find the discriminant of the equation. x2 + 3x - 4 = 0
ivann1987 [24]

Please use " ^ " to indicate exponentiation: x^2 + 3x - 4 = 0

Here, a = 1, b = 3 and c = -4.

The formula for the discriminant is b^2 - 4(a)(c).

Substituting the given values of a, b and c, we get:

(3)^2 - 4(1)(-4)

Evaluating this, we get 9 + 16 = 25.

The discriminant is 25.

-3 plus or minus √25

Taking this further, x = ------------------------------------

2

-3 plus or minus 5

or: x = -------------------------------- => {-4, 1} (solutions)

2

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3 years ago
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AVprozaik [17]

Step-by-step explanation:

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2 years ago
Given f(x) = √(x-3) , what is the positive value of f(12)?
Shalnov [3]

Answer:

3

Step-by-step explanation:

Given

f(x) = \sqrt{(x-3)} , then

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There are 2 values 3 and - 3

The positive value of f(12) is + 3

6 0
3 years ago
Polygon ABCD is translated to create polygon A'B'C'D. Point A and is located at (1, 5) and point A' is located at (-2, 1). What
Ilia_Sergeevich [38]
\sqrt{ 3^{2}+4^{2} } =5.
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3 years ago
F(x)=2x^3+2x-3 g(x)=-.5[x-4] what is the y value when f(x) = g(x)?
Charra [1.4K]

Answer:

D. x = 0.5

Step-by-step explanation:

A graphing calculator is the quickest way to get to an answer here.

 f(x) = g(x) for x = 0.5

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We can find the y-intercepts of the two functions to be ...

 f(0) = -3

 g(0) = -2

We know the x-intercept of g(x) is x=4. The x-intercept of f(x) will be a value less than 1, because f(1) = 1. (The function crosses the x-axis between x=0 where f(x) < 0 and x=1, where f(x) > 0.)

Considering these intercept points, we know the value of x for f(x)=g(x) will be between x=0 and x=1. There is only one answer choice in that interval:

 x = 0.5

5 0
3 years ago
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