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3 years ago

What are equivilant equations?how do you find them?

Mathematics

1 answer:

TEA [102]3 years ago

3 0

Answer:

Equivalent equations are algebraic equations that have identical solutions or roots. you can find it by adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation as well as multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.

Step-by-step explanation:

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what is the sum of a 7-term geometric series if the first term is negative 11 the last turn is -45056 and the common ratio is -4

patriot [66]

For a geometric sequence with common ratio $r$ , we have

$a_n=a_{n-1}r$

that is, the $n$ -th term in the sequence is the product of the previous term and the common ratio $r$ . So

$a_n=a_{n-1}r=a_{n-2}r^2=\cdots=a_1r^{n-1}$

Then the sum of the first 7 terms is

$S_7=\displaystyle\sum_{n=1}^7a_n=a_1+a_2+\cdots+a_7$
$\implies S_7=a_1+a_1r+\cdots+a_1r^6$

Notice that

$S_7r=a_1r+a_1r^2+\cdots+a_1r^7$

so we can subtract this modified sum from $S_7$ to get

$S_7-S_7r=S_7(1-r)=a_1-a_1r^7\implies S_7=a_1\dfrac{1-r^7}{1-r}$

We're told that $a_1=-11$ and $r=-4$ , so the sum of the first 7 terms is

$S_7=(-11)\dfrac{1-(-4)^7}{1-(-4)}=144,188$

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3 years ago

Janine has job offer sat two companies. One company offers a starting salary of 28,000 with a raise of 3,000 each year. The othe

DochEvi [55]

28,000 +3,000= 31,000 +3,000 = 34,000 +3,000 = 37,000 +3,000 = 40,000 +3,000 = 43,000 + 3,000 = 46,000

36,000 +2,000= 38,000 +2,000 = 40,000 +2,000 = 42,000 +2,000 = 44,000 +2,000 = 46,000

THE SALARY WOULD BE 46,000
IT WOULD TAKE 6 YEARS

I hope i did that right

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Which of the equations is true

KATRIN_1 [288]

The equation that is true is D

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What is the solution to the system of equations -8x + 4y = -2, 2y = 1

Black_prince [1.1K]

Answer:

Hi! The correct answer is x=1/4+y/2!

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

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PSYCHO15rus [73]

Answer:

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Step-by-step explanation:

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