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Alexandra [31]
3 years ago
10

Solve for x in this equation:3/4+|5-x|=13/4

Mathematics
2 answers:
S_A_V [24]3 years ago
7 0
Well, anything in absolute value lines become positive, so the equation would be:

3/4+5+x=13/4

Next we subtract 3/4 to both sides to start separating the variable (x).

So, 5+x=10/4


Next, we subtract 5 from both sides. (5= 20/4)

And we get: x=-10/4.

I hope this helps!
ra1l [238]3 years ago
6 0

Answer:

Step 1: Isolate the absolute value by subtracting<u> 3/4 </u>from both sides of the equation.              

     

Step 2: Represent the negative case by rewriting the absolute value equation as: <u>5 - x = - 5/2    </u>          

 

Step 3: Represent the positive case by rewriting the absolute value equation as <u>5 - x = 5/2 * v  </u>                    

Step 4: Isolate the variable term by subtracting this value from both sides of the negative case equation : <u>5</u>

Step 5: Solve the positive case equation. x =<u> </u><u>5/2</u>

i got it right on ed2020

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Rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the
Brut [27]

Answer:

The time that the rocket will hit the ground is 12.87 seconds.

Step-by-step explanation:

Given : The rocket is launched from a tower  y=-16x^2+199x+90. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.

To find : The time that the rocket will hit the ground ?

Solution :

When the rocket hit the ground i.e. height became zero y=0,

Equation is y=-16x^2+199x+90

Substitute y=0,

-16x^2+199x+90=0

Using quadratic formula, x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(199)\pm\sqrt{(199)^2-4(-16)(90)}}{2(-16)}

x=\frac{-199\pm\sqrt{45361}}{-32}

x=\frac{-199+\sqrt{45361}}{-32},\frac{-199-\sqrt{45361}}{-32}

x=-0.43,12.87

Reject negative value.

The time taken is 12.87 seconds.

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A jar contains 38 red marbles numbered 1 to 38 and 38 blue marbles numbered 1 to 38 a marble is drawn at random from the jar
liq [111]

Answer:

P(Red) = 0.50'

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Step-by-step explanation:

Given

Red = 38

Blue = 38

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P(Red) = \frac{Red}{Total}

P(Red) = \frac{38}{38+38}

P(Red) = \frac{38}{76}

P(Red) = 0.50

Solving (b): Probability of Odd

Since each marble type is numbered 1 to 38, then half of it are odd.

i.e. 19 odd numbered red marbles and 19 odd numbered blue marbles.

So, the probability of odd is:

P(Odd) = \frac{Odd}{Total}

P(Odd) = \frac{19+19}{38+38}

P(Odd) = \frac{38}{76}

P(Odd) = 0.50\\

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