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Step2247 [10]
3 years ago
11

What is the solution of 9x-8=34x-12

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
4 0

Answer: x = 2/13

Step-by-step explanation:

9x-8=34x-12

Add 12 on both sides and you get

9x+4=34x

Subtract 9x from both sides and you get

4=26x

Divide 26 from both sides to get

X= 4/26

Simlify

x = 2/13

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Suppose that p is the probability that a randomly selected person is left handed. The value (1-p) is the probability that the pe
solmaris [256]

Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for p such that 1000p(1-p) is maximized. Once we have that p, we can easily find the answer to part b.

Finding the value that maximizes 1000p(1-p) is the same as finding the value that maximizes p(1-p), just on a smaller scale. So, we really want to maximize p(1-p). To do this, we will do a trick called completing the square.

p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4.

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of p such that the inner part of the square term is equal to 0.

p-1/2=0\\p=1/2.

So, the answer to part a is \boxed{1/2}.

We can then plug 1/2 into the equation for p to find the answer to part b.

1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250.

So, the answer to part b is \boxed{250}.

And we're done!

3 0
2 years ago
A) Write the following in standard form and find A, B and C
alex41 [277]

Answer:

  • a)  2x -y = -5; A=2, B=-1, C=-5
  • b)  y = 2x +5

Step-by-step explanation:

a) Standard Form is ...

  Ax + By = C

where A > 0 and A, B, C are mutually prime.

To get that form, we can add 2x-5 to both sides of the equation:

  (2x -5) -2x = (2x -5) -y +5

  -5 = 2x -y

Then we can swap sides of the equal sign:

  2x -y = -5 . . . . . . standard form

Matching this to the generic standard form equation, we find ...

  A = 2

  B = -1

  C = -5

__

b) We can solve for y by adding 2x+y to both sides of the equation:

  (2x +y) -2x = (2x +y) -y +5

  y = 2x +5 . . . . . . slope-intercept form

5 0
3 years ago
Micheal has saved 27 quarters from washing cars. How many cents does Michael have?
igomit [66]

Micheal has saved 27 quarters from washing cars. Micheal has 675 cents

7 0
3 years ago
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I need help, look at the picture.
worty [1.4K]
The order would be
A
C
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7 0
3 years ago
Your family eats at Pizza Hut for dinner. The pizza is $12.99. An order of bread sticks is $5.99. Four drinks were purchased for
Anton [14]

Answer:

$22.87

Step-by-step explanation:

12.99+5.99+2.20=21.18

22.18x.08=1.6944

1.69+22.18=22.87

7 0
3 years ago
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