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Ivenika [448]
3 years ago
14

How to solve 3x/7 - 1/2 = 1/14

Mathematics
1 answer:
nlexa [21]3 years ago
8 0

Answer: 4/3

Step-by-step explanation:

First off, we should all get the denominators to be the same.

14 is the LCM of each of the denominators, so:

3x / 7 times 2/2 = 6x/14

-1/2 times 7/7 = -7/14

and 1/14 is 1/14

So now we have

6x/7 + -7/14 = 1/14

We can multiply everything by 14 to get rid of the denominator completely, which leaves us with:

6x - 7 = 1

Then we just solve like a normal equation:

6x = 8

x = 8/6 , or 4/3

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(i) Write the expansion of (x + y)² and (x - y)². (ii) Find (x + y)² - (x - y)² (iii) Write 12 as the difference of two perfect
zaharov [31]

Answer:

1a (x + y)² = x² + 2xy + y²

1b. (x - y)² = x² - 2xy + y²

2. (x + y)² - (x - y)² = 4xy

3. 4² – 2² = 12

Step-by-step explanation:

1a. Expansion of (x + y)²

(x + y)² = (x + y)(x + y)

(x + y)² = x(x + y) + y(x + y)

(x + y)² = x² + xy + xy + y²

(x + y)² = x² + 2xy + y²

1b. Expansion of (x - y)²

(x - y)² = (x - y)(x - y)

(x - y)² = x(x - y) - y(x - y)

(x - y)² = x² - xy - xy + y²

(x - y)² = x² - 2xy + y²

2. Determination of (x + y)² - (x - y)²

This can be obtained as follow

(x + y)² = x² + 2xy + y²

(x - y)² = x² - 2xy + y²

(x + y)² - (x - y)² = x² + 2xy + y² - (x² - 2xy + y²)

= x² + 2xy + y² - x² + 2xy - y²

= x² - x² + 2xy + 2xy + y² - y²

= 2xy + 2xy

= 4xy

(x + y)² - (x - y)² = 4xy

3. Writing 12 as the difference of two perfect square.

To do this, we shall subtract 12 from a perfect square to obtain a number which has a perfect square root.

We'll begin by 4

4² – 12

16 – 12 = 4

Find the square root of 4

√4 = 2

4 has a square root of 2.

Thus,

4² – 12 = 4

4² – 12 = 2²

Rearrange

4² – 2² = 12

Therefore, 12 as a difference of two perfect square is 4² – 2²

7 0
3 years ago
8x-6y=54 in slope intercept form please!!
NikAS [45]

Answer: y= 4/3x-9

Step-by-step explanation:

4 0
3 years ago
Find the x and y intercept for f(x)=x^2-3x-40
Dahasolnce [82]

To find the y-intercept, simply set the value of x equal to 0, and solve for y, or f(x).

f(x) = 0^2 - 3(0) - 40

f(x) = -40

<h3>The y-intercept is -40.</h3>

Because this is a 2nd degree polynomial, we cannot find the x-intercepts in one step, and must instead use one of a few different methods.

In this case, we're going to use the quadratic formula:

\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}

Plug in the values.

3 +/- √(-3^2 + 160) / 2

3 +/- √169 / 2

3 +/- 13 / 2

(3 + 13) / 2 = 16 / 2 = 8

(3 - 13) = -10 / 2 = -5

<h3>The x intercepts are 8, and -5.</h3>
3 0
3 years ago
I need help with this, please! I need to solve this using inverse operation to isolate the variable.
Otrada [13]
Since the inverse property of subtraction is addition, wouldn’t you add n on both sides so then the value of n=0?
5 0
2 years ago
Brian is driving 168km to visit some friends . He wants to get there in 6 hours . How many kilometers does he need to drive each
Tasya [4]

Answer:

28 km per hour

Step-by-step explanation:

Kilometres Brian needs to drive in an hour = total kilometres / total hours

168 km / 6 hours = 28 km per hour

5 0
2 years ago
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