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o-na [289]
3 years ago
8

Which shows how to solve the equation Three-fourths x = negative 6 for x in one step?

Mathematics
2 answers:
My name is Ann [436]3 years ago
7 0

option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).

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

We have , The given expression as Three-fourths x = negative 6  , which can be written as \frac{3}{4} (x) = -6 . Now in order to solve this equation in one step , we must notice that coefficient of x must be 1 but it's  \frac{3}{4} , Let's make coefficient of x  as 1 by multiplying both side of equations by 4/3:

\frac{3}{4} (x) = -6

⇒ \frac{3}{4} (x) = -6

⇒ \frac{3}{4}(\frac{4}{3} ) (x) = -6(\frac{4}{3} )

⇒ x = -6(\frac{4}{3} )

⇒ x = -2(4)

⇒ x = -8

Therefore, x= -8 & correct option to solve the equation Three-fourths x = negative 6 for x in one step is <u>option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).</u>

Ne4ueva [31]3 years ago
6 0

Answer:

It is A

Step-by-step explanation:

I DID THE TEST

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Answer:

288 will be ur ans

Step-by-step explanation:

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5 0
3 years ago
Y=4x-6 and passes through point 8,12
umka2103 [35]

Answer:

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Step-by-step explanation:

We need to find equation of line while we are given another line having equation y=4x-6 and passes through point (8,12)

<u><em>Note: Since it is not given if the required line is parallel or perpendicular to the given line. I will solve for both cases.</em></u>

If Both lines are parallel the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are parallel there slopes are same

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=4

Now finding y-intercept

Using slope m=4 and point (8,12) we can find y-intercept

y=mx+b\\12=4(8)+b\\12=32+b\\b=12-32\\b=-20

y-intercept of new line is: b=-20

Equation of required line having slope m=4 and y-intercept b=-20 is

y=mx+b\\y=4x-20

If Both lines are perpendicular the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are perpendicular there slopes are opposite of each other

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=-1/4

Now finding y-intercept

Using slope m=-1/4 and point (8,12) we can find y-intercept

y=mx+b\\12=-\frac{1}{4} (8)+b\\12=-2+b\\b=12+2\\b=14

y-intercept of new line is: b=14

Equation of required line having slope m=-1/4 and y-intercept b=14 is

y=mx+b\\y=-\frac{1}{4} x+14

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Answer:

Step-by-step explanation:

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