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3 years ago

(x + 3)/(3x - 2) - (x - 3)/(3x + 2) = - 22/(9x ^ 2 - 4)

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

7 0

Answer:

x = -1

Step-by-step explanation:

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(2.6×10^5)(1.9×10^2)

natka813 [3]

Answer:

49,400,000

Step-by-step explanation:

(2.6*10^5)(1.9*10^2)

Apply exponent rule

=2.6*1.9*10^5+2

Add the numbers: 5+2=7

=2.6*1.9*10^7

Multiply the numbers: 2.6*1.9= 4.94

10^7*4.94

10^7=10,000,000

=10,000,000*4.94

Multiply the numbers: 4.94*10000000=49,400,000

=49,400,000

Thanks for letting me help!!

6 0

4 years ago

The smaller of two consecutive even integers is two more than half of the greater. find the two integers.

lana [24]

Greetings and Happy Holidays!

Let x represent the smaller, even integer.
Let (x+2) represent the larger, even integer.

We can create an algebraic equation to solve for the numbers:
$x=\frac{(x+2)}{2}+2$

Simplify:
$x=\frac{1}{2}x+1+2$

$x=\frac{1}{2}x+3$

Add $\frac{-1}{2}x$ to both sides:
$(x)+(\frac{-1}{2}x)=(\frac{1}{2}x+3)+(\frac{-1}{2}x)$

$(\frac{1}{2}x)=3$

Divide both sides by $\frac{1}{2}x$
$\frac{\frac{1}{2}x}{ \frac{1}{2}}=\frac{3}{\frac{1}{2}}$

$x=\frac{3}{1}(2)$

$x=\frac{6}{1}$

The Answer Is:
$\boxed{x=6}$
and
$x+2=6$
$\boxed{x=8}$

The two consecutive even integers are 6 and 8.

I hope this helped!
-Benjamin

8 0

3 years ago

Macey already saved $25 and then saved an additional $15 each week from her

KATRIN_1 [288]

Answer:

31 weeks or 30 2/3

Step-by-step explanation:

485-25 = 460

460/15 = 30 2/3

8 0

3 years ago

Matthew is making a sequence in which -3 is added to each successive term. The 6th term in his sequence is -1. What is the 1st t

Hatshy [7]

Answer:

The first term is 14.

Step-by-step explanation:

The general formula for this kind of sequence (arithmetic) is a(n) = a(1) + (n-1)c, where c is the common difference. Here, we have a(6) = -1 = a(1) + (6-1)(-3), or -1 +15 = a(1). The first term is 14.

3 0

3 years ago

Who was the first person to find out pi (3.14)

goldfiish [28.3K]

The first person who calculated pi was <span>Archimedes got really close however with the mathematics he had in his time he did not have decimal points nor could he use the number 0. So it has to latter once people recognize 0 as a number and the decimal point that we get what we have today. </span><span />

3 0

4 years ago