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2 years ago

Algebra 1 question : Solve for x : 3 - 5x + 6 = 14x - 32 + 10(2-x)

2 answers:

6 0

Hi there!

$3 - 5x + 6 = 14x - 32 + 10(2 - x)$
Work out the parenthesis.

$3 - 5x + 6 = 14x - 32 + 20 - 10x$
Combine like terms.

$9 - 5x = 4x - 12$
Subtract 9 from both sides.

$- 5x = 4x - 21$
Subtract 4x from both sides

$- 9x = - 21$
Divide both sides by -9

$x = \frac{ - 21}{ - 9} = \frac{21}{9} = 2 \frac{3}{9} = 2 \frac{1}{3}$

castortr0y [4]2 years ago

4 0

3 - 5x + 6 = 14x - 32 + 10(2 - x)

Distribute 10 inside the parentheses.

3 - 5x + 6 = 14x - 32 + 20 - 10x

Combine like terms.

9 - 5x = 4x - 12

Add 5x to both sides.

9 = 9x - 12

Add 12 to both sides.

21 = 9x

Divide both sides by 9.

x = 21/9

Simplify 21/9 by dividing both sides by 3: 7/3

Your answer is x = 7/3.

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RUDIKE [14]

Answer:

the first problem has infinite solutions, the second has one, and the third also has infinite solutions!

3 0

2 years ago

What is the answer to 7/12 plus 1/3

viva [34]

Answer: 11/12

Step-by-step explanation: Notice that 7/12 and 1/3 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.

The common denominator of 12 and 3 will be the least common multiple of 12 and 3 which is 12.

The fraction 7/12 already has a 12 in the denominator so we leave it alone.

To get a 12 in the denominator of 1/3, we multiply both the numerator and the denominator by 4 and we get the equivalent fraction 4/12.

Now we are adding like fractions.

To add like fractions, we simply add across the numerators.

7/12 + 4/12 = 11/12

Therefore, 7/12 + 1/3 = 11/12.

4 0

3 years ago

Hello, precalc, need help on finding csc

Ainat [17]

Recall the double angle identity for cosine:

$\cos(2x) = \cos^2(x) - \sin^2(x) = 1 - 2 \sin^2(x)$

It follows that

$\sin^2(x) = \dfrac{1 - \cos(2x)}2 \implies \sin(x) = \pm \sqrt{\dfrac{1-\cos(2x)}2} \implies \csc(x) = \pm \sqrt{\dfrac2{1-\cos(2x)}}$

Since 0° < 22° < 90°, we know that sin(22°) must be positive, so csc(22°) is also positive. Let x = 22°; then the closest answer would be C,

$\csc(22^\circ) = \sqrt{\dfrac2{1-\cos(44^\circ)}} = \sqrt{\dfrac2{1-\frac5{13}}} = \dfrac{\sqrt{13}}2$

but the problem is that none of these claims are true; cot(32°) ≠ 4/3, cos(44°) ≠ 5/13, and csc(22°) ≠ √13/2...

3 0

2 years ago

How much has to be invested at 5.1% interst compound continuously to have 17,000 after 14 years

Montano1993 [528]

I do not know exactly, but it seems to be correct A = Pe^(r*t) Compounding continously

17,000 = Пэ^(.051*14)

17,000/e^(.714) = P

$8324.59 = P

7 0

2 years ago

In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the pattern in the sequence if i

levacccp [35]

The sequence is given as follow
$3a$ , $3 a^{2}b,3 a^{3} b^{2} , 3 a^{4} b^{3}$

When finding the pattern of a sequence, we can try to work out whether there is a common difference or a common ratio between each term. We try by finding a common ratio

$\frac{3 a^{2}b }{3a} =ab$
$\frac{3 a^{3 b^{2} } }{3 a^{2}b }=ab$
$\frac{3 a^{4} b^{3} }{3 a^{3} b^{2} }=ab$

The term to term rule is multiplied by $ab$

The $5^{th}$ term is given $3 a ^{4} b^{3}$ × $ab=3 a^{5} b^{4}$

The $6^{th}$ term is given by $3 a^{5} b^{4}$ × $ab=3 a^{6} b^{5}$

8 0

2 years ago