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2 years ago

50 points i neeeeeed help

Mathematics

1 answer:

viktelen [127]2 years ago

7 0

Answer:

B. a₁ = -6, aₙ = aₙ₋₁ + 4

Step-by-step explanation:

From the given sequence we see that:

Common difference is 4

Find the first term:

a₁ + 3*4 = a₄
a₁ + 12 = 6
a₁ = -6

The recursive formula for this sequence is:

a₁ = -6, aₙ = aₙ₋₁ + 4

Correct choice is B

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Determine the equation of quadratic function represented by the table of value below.

Svetllana [295]

Answer:

Step-by-step explanation:

The general rule for the quadratic function is

$y=ax^2+bx+c$

Use the data from the table:

$y(0)=6\Rightarrow 6=a\cdot 0^2+b\cdot 0+c\\ \\y(1)=4\Rightarrow 4=a\cdot 1^2+b\cdot 1+c\\ \\y(-1)=10\Rightarrow 10=a\cdot (-1)^2+b\cdot (-1)+c$

We get the system of three equations:

$\left\{\begin{array}{l}c=6\\ \\a+b+c=4\\ \\a-b+c=10\end{array}\right.$

From the first equation

$c=6,$ then

$\left\{\begin{array}{l}a+b=-2\\ \\a-b=4\end{array}\right.$

Add these two equations:

$a+b+a-b=-2+4\\ \\2a=2\\ \\a=1$

So,

$b=-2-a=-2-1=-3$

The quadratic function is

$y=1\cdot x^2-3x+6\\ \\y=x^2-3x+6$

6 0

3 years ago

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lisov135 [29]

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Gillian: 500+100= 600 (Because Gillian has 100 more votes than Clive)

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2 years ago

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bogdanovich [222]

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kenny6666 [7]

Answer:

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Step-by-step explanation:

Factor 2x3+5x2−97x+180

2x3+5x2−97x+180

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5 0

3 years ago