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CaHeK987 [17]
2 years ago
9

Find the common ratio of the geometric sequence 4, -20, 100, -500, ...

Mathematics
1 answer:
asambeis [7]2 years ago
6 0

Answer:

r = -5. Find the pattern and write the recursive formula: a_n + 1 = - 5 a_nGiven the recursive formula: r =

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Multiply. (2x2 + 4x - 3)(x2 - 2x + 5)
BigorU [14]
For a moment, let y=x^2-2x+5. Then by the distributive property,

(2x^2+4x-3)p=2x^2p+4xp-3p


Again by the distributive property,

2x^2p=2x^2(x^2-2x+5)=2x^4-4x^3+10x^2

4xp=4x(x^2-2x+5)=4x^3-8x^2+20x

-3p=-3(x^2-2x+5)=-3x^2+6x-15

Taking everything together, we get

(2x^2+4x-3)(x^2-2x+5)=(2x^4-4x^3+10x^2)+(4x^3-8x^2+20x)+(-3x^2+6x-15)
(2x^2+4x-3)(x^2-2x+5)=2x^4-x^2+26x-15
7 0
3 years ago
Read 2 more answers
Match each system to the correct choice.
pogonyaev

Answer:

Option A - Neither. Lines intersect but are not perpendicular. One Solution.

Option B - Lines are equivalent. Infinitely many solutions

Option C - Lines are perpendicular. Only one solution

Option D - Lines are parallel. No solution

Step-by-step explanation:

The slope equation is known as;

y = mx + c

Where m is slope and c is intercept.

Now, two lines are parallel if their slopes are equal.

Looking at the options;

Option D with y = 12x + 6 and y = 12x - 7 have the same slope of 12.

Thus,the lines are parrallel, no solution.

Two lines are perpendicular if the product of their slopes is -1. Option C is the one that falls into this category because -2/5 × 5/2 = - 1. Thus, lines here are perpendicular and have one solution.

Two lines are said to intersect but not perpendicular if they have different slopes but their products are not -1.

Option A falls into this category because - 9 ≠ 3/2 and their product is not -1.

Two lines are said to be equivalent with infinitely many solutions when their slopes and y-intercept are equal.

Option B falls into this category.

8 0
3 years ago
Radio signals travel at a rate of 3 x 10^8 meters per second. How many seconds would it take for a radio signal to travel from a
wel
Time = Distance / Speed   [ Already mentioned ]

Then, substitute the known values, 

t = (9.6 × 10⁶) / (3 × 10⁸)

t = 3.2 × 10⁻² s

In short, Your Answer would be Option B

Hope this helps!
4 0
3 years ago
Can anyone help me with number 10??
Galina-37 [17]

Answer:

y=−4/3x+10

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the slope-intercept form  y=mx+b to find the line perpendicular to  3x−4y=−2.

4 0
4 years ago
Can someone. Please help me please
zalisa [80]

Answer:

  • B. Always irrational

Step-by-step explanation:

The difference of the rational and and irrational number is always an irrational number.

Correct choice is B

5 0
3 years ago
Read 2 more answers
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