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creativ13 [48]
2 years ago
15

Find the first six terms of the sequence. a1 = 4, an = 2 • an-1

Mathematics
1 answer:
Shtirlitz [24]2 years ago
8 0

Answer:

p

Step-by-step explanation:

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Y = −(x + 4)2 − 7 vertex
ICE Princess25 [194]

Answer:

The vertex (h,k) is (-4,-7).

Step-by-step explanation:

I assume you are looking for the vertex y=-4(x+4)^2-7.

The vertex form of a quadratic is y=a(x-h)^2+k where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.

Anyways if you compare y=-4(x+4)^2-7 to y=a(x-h)^2+k , you should see that a=-4,h=-4,k=-7.

So the vertex (h,k) is (-4,-7).

3 0
2 years ago
Read 2 more answers
Evaluate 3/5r +5/8swhen r =14 and s =8
Illusion [34]

Step-by-step explanation:

14×5=70

8×8=64

(3/70) + (5/64)

= (3×64)+(5×70)

----‐------------------

70×64

= (192+350)/448

=542/448

= 271/224

5 0
2 years ago
Jared is going to plant 20 small plants around the edge of a circular garden
Rufina [12.5K]

Answer:

1 every 2.5 feet

Step-by-step explanation:

20 divided by 8 20 being the plants 8 being the length gives u 2.5

3 0
3 years ago
How is every one tooday
emmainna [20.7K]

Answer:

I'm doing fine, how are you?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Divide f(x) by d(x), and write a summary statement in the form indicated.
Mandarinka [93]

Answer:

The correct option is B)  f(x) =(x^2+1)(x^2+4x+5)

Step-by-step explanation:

Consider the provided function.

f(x) = x^4 + 4x^3 + 6x^2 + 4x + 5 and d(x) = x^2+1

We need to divide f(x) by d(x)

As we know: Dividend = Divisor × Quotient + Remainder

In the above function f(x) is dividend and divisor is d(x)

Divide the leading term of the dividend by the leading term of the divisor:\frac{x^4}{x^2}=x^2

Write the calculated result in upper part of the table.

Multiply it by the divisor: x^2(x^2+1)=x^4+x^2

Now Subtract the dividend from the obtained result:

(x^4 + 4x^3 + 6x^2 + 4x + 5)-(x^4-x^2)=4x^3+5x^2+4x+5

Again divide the leading term of the obtained remainder by the leading term of the divisor: \frac{4x^3}{x^2}=4x

Write the calculated result in upper part of the table.

Multiply it by the divisor: 4x(x^2+1)=4x^3+4x

Subtract the dividend:

(4x^3+5x^2+4x+5)-(4x^3+4x)=5x^2+5

Divide the leading term of the obtained remainder by the leading term of the divisor: \frac{5x^2}{x^2}=5

Multiply it by the divisor: 5(x^2+1)=5x^2+5

Subtract the dividend:

(5x^2+5)-(5x^2+5)=0

Therefore,

Dividend = x^4 + 4x^3 + 6x^2 + 4x + 5

Divisor = x^2+1

Quotient = x^2+4x+5

Remainder = 0

Dividend = Divisor × Quotient + Remainder

f(x) = (x^2+1)(x^2+4x+5)

Hence, the correct option is B)  f(x) =(x^2+1)(x^2+4x+5)

3 0
3 years ago
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