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3 years ago

6. Identify the recursive formula for the sequence 3, –15, 75, –375, . . .

Mathematics

1 answer:

vlada-n [284]3 years ago

4 0

Answer:

first option

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

r = - 15 ÷ 3 = 75 ÷ - 15 = - 375 ÷ 75 = - 5

The recursive formula allows a term in the sequence to be found by multiplying the previous term by r , thus

f(n) = - 5f(n - 1) if n > 1

with f(1) = 3 ← first term

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2(2 – 2x) = –3x A. –4 B. 4 C. 6 D. 0

zlopas [31]

Answer:

$x = 4$

Step-by-step explanation:

Let's solve:

$2(2−2x)=−3x$

Step 1: Simplify both sides of the equation.

$2(2−2x)=−3x \\ (2)(2)+(2)(−2x)=−3x(Distribute) \\ 4+−4x=−3x \\ −4x+4=−3x$

Step 2: Add 3x to both sides.

$−4x+4+3x=−3x+3x \\ −x+4=0$

Step 3: Subtract 4 from both sides.

$−x+4−4=0−4 \\ −x=−4$

Step 4: Divide both sides by -1.

$\frac{ - x}{ - 1} = \frac{ - 4}{ - 1}$

Therefore, the answer will be x = 4.

5 0

2 years ago

Please help!!!

stiv31 [10]

Answer:

Step-by-step explanation:

1. Percent means out of 100

8% = 8/100

.08

2. Is means equals and of means multiply

W = 48% *180

W = .48 *180

W =86.4

3. Is means equals and of means multiply

80 = 125% * W

80 = 1.25 W

Divide each side by 1.25

80/1.25 = W

6 0

2 years ago

NO LINKS!!

yan [13]

Answer:

$y=-\dfrac{1}{2}(x+4)^2-1$

Step-by-step explanation:

Vertex form: $y=a(x-h)^2+k$

where:

$(h, k)$ is the vertex
$a$ is some constant

Given:

vertex = (-4, -1)
point on parabola = (-2, -3)

Substitute given values into the formula to find $a$ :

$\implies -3=a((-2)-(-4))^2+(-1)$

$\implies -3=a(2)^2-1$

$\implies -3=4a-1$

$\implies -2=4a$

$\implies a=-\dfrac{2}{4}=-\dfrac{1}{2}$

Therefore, the equation of the parabola is:

$y=-\dfrac{1}{2}(x+4)^2-1$

6 0

1 year ago

Read 2 more answers

Draw a number line that represents 7+(-4).

tekilochka [14]

You start from negative 7 in number line and you go left 4

3 0

2 years ago

Help please (show work please thanks)

madam [21]

The least amount is 2 packs.
i know this becaus first i make a lcm chart which looks like this :
8: 8,16,24,32
12: 12,24
i then see that the lcm is 24 and 12+12 is 24 meaning that i will have to buy 2 packs of large plates.

4 0

3 years ago