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max2010maxim [7]
3 years ago
11

After the first term in a sequence, the ratio of each term to the preceding term is r. If the first term is a, what is the third

term?
Mathematics
1 answer:
ladessa [460]3 years ago
8 0

Answer:

The third term will be ar²

Step-by-step explanation:

First term is a

Since the ratio of each term to the preceding term is r, then the second term will be ar.

The third term will be ar²

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Let f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state its domain.
Tanya [424]

Answer:  (f/g)(x) = -4x - 2

                D: x ≠ 6/5

<u>Step-by-step explanation:</u>

\dfrac{f(x)}{g(x)}=\dfrac{-20x^2-14x+12}{5x-6}\\\\\\.\qquad =\dfrac{-2(2x+1)(5x-6)}{5x-6}\\\\\\.\qquad =-2(2x+1)\\\\\\.\qquad =-4x-2

Domain: \text{denominator cannot be equal to zero}\\\\5x-6\neq 0\\\\5x\quad \neq 6\\\\x\quad \neq \dfrac{6}{5}

3 0
3 years ago
Adalynn planted 20 peach trees over 400 feet.Dwight planted 18 plum trees over 270 feet.Is it proportional relationship.Explain
docker41 [41]

As the ratio 0.050:1 for Adalynn and the ratio 0.067:1 for Dwight are not equivalent, it shows that this is not a proportional relationship.

What is a proportional relationship?

Proportional relationships can be described as relationships between two variables that have equivalent ratios.

The ratio of Adalynn that planted 20 peach trees over 400 feet can be expressed as follows:

20:400

Divide through by 400, we have:

0.050:1

The ratio of Dwight that planted 18 plum trees over 270 feet can be expressed as follows:

Divide through by 270, we have:

0.067:1

Since the ratio 0.050:1 for Adalynn and the ratio 0.067:1 for Dwight are not equivalent, this implies that this is not a proportional relationship.

Learn more about the proportional relationship here: brainly.com/question/12917806.

#SPJ1

8 0
2 years ago
Perform the indicated operation. x^2-y^2/3x * 3y/x+y
Aneli [31]

Answer:

xy-y^2/x

Step-by-step explanation:

you factor the expression and reduce the gcf 3:

(x-y)*(x+y)/x *y/x+y

reduce the expression with x+y:

x-y/x*y

calculate the product:

y*(x-y)/x

remove parenthesis:

xy-y^2/x

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3 years ago
I'll make you brainlyiest!! What is the LCM of 6 and 7
astra-53 [7]

Answer:

The least common multiple of 6 and 7 is 42

Step-by-step explanation:

One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

I hope this helps!

5 0
3 years ago
The perimeter of a rectangular garden is 126 meters. the length is 6 meters longer than twice the width. find the dimensions of
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