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3 years ago

What is the common ratio for the following geometric sequence? -500, 100 , -20, 4,....

1 answer:

3 0

The common ratio is -1/5.

Each number is the opposite (negative sign) and one fifth of the last one. This means to get the next term, you multiply by -1/5, so that is your common ratio.

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Which pair of functions represents a decomposition of f(g(x)) = | 2(x + 1)^2 + (x + 1) | ?

Ann [662]

Answer:

$\Large \boxed{\mathrm{\bold{D.}} \ f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)}$

Step-by-step explanation:

$f(g(x)) = | 2(x + 1)^2 + (x + 1) |$

The first option :

$f(x) = (x + 1)^2 \ \mathrm{and} \ g(x) = | 2x + 1 |$

$f(g(x))=(|2x+1|+1)^2$

The second option :

$f(x) = (x + 1) \ \mathrm{and} \ g(x) = | 2x^2 + x |$

$f(g(x))=(|2x^2 +x|+1)$

The third option :

$f(x) = | 2x + 1 | \ \mathrm{and} \ g(x) = (x + 1)^2$

$f(g(x))=|2(x+1)^2 +1 |$

The fourth option :

$f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)$

$f(g(x))= | 2(x + 1)^2 + (x + 1) |$

3 0

3 years ago

Read 2 more answers

Write an equation of the line that passes through the given point and has the given slope.

zubka84 [21]

Answer:

y = -2x - 2

Step-by-step explanation:

the equation of a linear graph is y = mx + b

you know the m = -2

so now the equation is y = -2x + b

from here, what you could do to find b is...

plug (-2, 2) into the equation

1) x = -2, y = 2

2) 2 = -2(-2) + b

3) 2 = 4 + b

4) -2 = b

or you can look at the y-intercept which is where the line intersects with the y-axis

it seems to be (0, -2)

so "b" would be equal to -2

this makes the final equation y = -2x + (-2) or y = -2x - 2

6 0

3 years ago

Find the greatest common factor and the least common multiple of 12 and 20 explain

klasskru [66]

Answer:

GCF: 4

LCM: 60

4 0

3 years ago

The shape below is a horizontal cross section of a figure. Select all the possible figures that could have this shape as a cross

Dvinal [7]

Answer:

D. Rectangular prism

Step-by-step explanation:

I believe the answer is D. Rectangular prism

3 0

3 years ago

The weight of water is 62 1/2 Ib per cubic foot. Water that weighs 200 lb will fill how many cubic feet? simplify its division b

otez555 [7]

Hgfjighchgjcfjhcfhcjgchjhgjchgjchghcchf

8 0

3 years ago