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ValentinkaMS [17]
3 years ago
10

Solve |2x - 5| = 4. {x | x = -4.5 or x = 4.5} {x | x = 0.5 or x = 4.5} {x | 0.5 < x < 4.5}

Mathematics
1 answer:
kotykmax [81]3 years ago
6 0

<u><em>Answer:</em></u>

{x | x = 0.5 or x = 4.5}

<u><em>Explanation:</em></u>

<u>Before we begin, remember that:</u>

The modulus gives the positive value of what's inside it.

<u>This means that:</u>

|a| = |-a| = a

<u>Now, for the given, we have:</u>

|2x-5| = 4

<u>From the above rule, we can deduce that:</u>

<u>either:</u>

2x - 5 = 4

2x = 4 + 5 = 9

x = 4.5 ............> first solution

<u>Or:</u>

2x - 5 = -4

2x = 5-4 = 1

x = 0.5 ..........> second solution

<u>Now, we check:</u>

<u>at x = 4.5</u>: |2(4.5)-5| = |9-5| = |4| = 4 ..........> first solution verified

<u>at x = 0.5</u>: |2(0.5)-5| = |1-5| = |-4| = 4 .........> second solution verified

Hope this helps :)


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3 years ago
the straight line L has the equation 4y=5x+3. Point A has the coordinates (3,-2) Find the equation of the line straight line tha
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Answer:

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Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4

y = \frac{5}{4} x + \frac{3}{4} ← in slope- intercept form

with slope m = \frac{5}{4}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{5}{4} } = - \frac{4}{5} , thus

y = - \frac{4}{5} x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - \frac{12}{5} + c ⇒ c = - 2 + \frac{12}{5} = \frac{2}{5}

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Answer:

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Step-by-step explanation:

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The only colors included in this problem are red, blue, and green. There is no black colored pencil, therefore, it is impossible to get one from the box.

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I'm not sure what you're asking in this question, but I will give you the two choices. If it is before the additional 11 colored pencils are added to the box, the chance of drawing a red and the chance of drawing a blue will be equal, because both of them have 11 of each color. If it is after the additional 11 colored pencils are added to the box, then the chance of drawing a blue colored pencil will be greater than the chance of drawing a red colored pencil. After the 11 colored pencils are added, there are 13 blue and 11 red. The blue is greater.

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