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Luden [163]
2 years ago
15

Solve for x . 3(2 x - 3) + 4(2 - x ) = 0 17/10 -17/10 1/2

Mathematics
1 answer:
fiasKO [112]2 years ago
7 0

Answer:

x = \frac{1}{2}

Step-by-step explanation:

3(2x - 3) + 4(2 - x)  = 0 ← distribute parenthesis

6x - 9 + 8 - 4x = 0 , that is

2x - 1 = 0 ( add 1 to both sides )

2x = 1 ( divide both sides by 2 )

x = \frac{1}{2}

You might be interested in
Which number is irrational?<br> -4<br> 2/9<br> 8.26<br> 11
kipiarov [429]

Answer:

None of them are irrational.

Step-by-step explanation:

An Irrational Number is a real number that cannot be written as a simple fraction.

Therefore:

-4 can be written as -4/1

2/9 is already in fraction

8.26 can be written as 826/100

11 can be written as 11/1

None of them are irrational.

However numbers like  \sqrt{x}, \pi are irrational as they can not be represented as fractions.

3 0
3 years ago
The height of a football during a punt is modeled by h=-16t^2+60t+3. If the football hits the ground, how long did it stay in th
weqwewe [10]

"how long..." is asking for time (t).  "The amount of time spent in the air" is the time from when the ball was kicked (0 seconds) to the time it landed on the ground.  Need to find the x-intercepts (one will be negative which will be invalid). You can do this by factoring ... <em>or by using the quadratic formula.</em> With the equation you provided, it is not factorable, so you must use the quadratic formula.

h = -16t² + 60t + 3

   a=-16   b=60  c=3

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

t = \frac{-60 +/- \sqrt{60^{2}-4(-16)(3) } }{2(-16)}

t = \frac{-60 +/- \sqrt{3600 + 192} }{-32}

t = \frac{-60 +/- \sqrt{3792} }{-32}

t = \frac{-60 +/- 61.6}{-32}

t = \frac{-60 + 61.6}{-32}   or   t = \frac{-60 - 61.6}{-32}

t = \frac{1.6}{-32}        or     t = \frac{-121.6}{-32}

   t = -0.05            or     t = 3.8           <em>disregard the negative</em>

Answer: 3.8 seconds


     

8 0
3 years ago
Can not be bothered to write the question so ima just attach it
stellarik [79]

Use desmos graphing calculator, for visuals. It's easy to use as well.

A is 0 (zero)

(1x1 + 2x1 - 3)

B) D ( lies on 1 on our x-axis)

C) This tells you to draw a line at zero on the y-axis, a horizontal line BTW & read off the x values, where the line touches the pink graph/diagram.

y=x^2+2x-3 is the similar to x^2+2x-3=0 because the letter y now represents zero. So, that's why we draw the line y=0 (a horizontal line at zero). Then, use it to find the x values.

Thus, x = - 3 & x = 1

Hope this helps!

6 0
2 years ago
Simplify:<br> 1y- 2x - 3y + 4x
dangina [55]

Answer:

2x - 2y

Step-by-step explanation:

Multiply by 1

combine like terms

Combine the second

rearrange terms

Then you should come up with the sloution 2x - 2y

4 0
3 years ago
HELP PLS WILL GIVE A LOT OF POINT
sveta [45]

Answer:

large = 18 3/4 = 18.75

small = 13/2 = 6 1/2 = 6.5

Step-by-step explanation:

Let l = the weight of large boxes

s = weight of small boxes

2 large and 3 small weights 57

2l+3s = 57

6 large and 5 small wights 145

6l+5s = 145

Multiply the first equation by 3

3(2l+3s) = 57*3

6l +9s =171

Subtract the second equation

6l +9s =171

-6l -5s = -145

-----------------------

     4s =26

Divide each side by 4

4s/4 = 26/4

s = 26/4 = 13/2

Substitute this into the first equation

2l +3s = 57

2l + 3(13/2) =57

Multiply by 2 to get rid of the fractions

2(2l + 3(13/2)) =57*2

4l + 39 = 114

Subtract 39 from each side

4l +39-39 = 114-39

4l =75

Divide by 4

4l/4 = 75/4

l = 75/4 = 18 3/4

7 0
3 years ago
Read 2 more answers
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