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nasty-shy [4]
3 years ago
13

Determine the constant that must be added to the given expression to complete the square and express the resulting trinomial as

the square of a binomial.
x^2-6x
Show your work:
Constant:_____
Expression:_____
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
8 0
Constant:9
Expression: (x-3)^2
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What is the autput the following machine when the intut is 4
ch4aika [34]

Input is 4.

Process machine:

Input > - 7 > ÷ 3 > Output

Solve:

(Input) 4 - 7 = <u>-3</u>

          <u>-3</u> ÷ 3 = <u>-1 </u>(Output)

Input = 4

Output = -1

3 0
2 years ago
P={x:x is a natural number,x&lt;9​
Elanso [62]

Answer:

x:x = 1 so it is a natural number

Step-by-step explanation:

it can be any negative number because: -x<9

and any number from 1 to 8

(x cannot be 0, because you cannot do 0/0 = 1)

5 0
2 years ago
Read 2 more answers
A 12-volume numbered set of books is placed randomly on a shelf. What is the probability that the books will be numbered in the
spayn [35]

Answer:

Step-by-step explanation:

There is a 1/12 probability that volume 1 will be correctly put in position 1.  

If we assume that volume 1 is right, then since there are then only 11 books left to choose from, there is then a 1/11 prob that volume 2 will be in position 2.  And so on. By the same reasoning there is 1/10 prob that volume 3 is then right, 1/9 prob for volume 4, 1/8 prob for volume 5, and 1/7 prob for volume 6,

and 1/6 prob for volume 7,and 1/5 prob for volume 8,and 1/4 prob for volume 9,and 1/3 prob for volume 10,and 1/2 prob for volume 11,and 1/1 prob for volume 12.  

So the probability is 1 /(12*11*10*9*8*7*6*5*4*3*2*1) = 1 / 479,001,600 ....

5 0
3 years ago
Which is the solution set to the inequality (4x-3)(2x-1)&amp;gt=0?
Serjik [45]

(4x - 3)(2x - 1) ≥ 0

First, find the zeros:

4x - 3 = 0         2x - 1 = 0

x = \frac{3}{4}               x = \frac{1}{2}

Next, plot these points and choose test points on the outside and between the zeros:

←-------0------\frac{1}{2}------\frac{5}{8}------\frac{3}{4}------1------→

Lastly, plug in the test points and look for a positive result (since it is greater than 0).

Test Point 0: [4(0) - 3][2(0) - 1]  = ( - )( - ) = +  THIS WORKS!

Test Point \frac{5}{8}: [4(\frac{5}{8}) - 3][2(\frac{5}{8}) - 1]  = ( - )( + ) = -  <em>This does NOT work</em>

Test Point 1: [4(1) - 3][2(1) - 1]  = ( + )( + ) = +  THIS WORKS!

Answer: x ≤ \frac{1}{2}   or   x ≥ \frac{3}{4}

Interval Notation: (-∞, \frac{1}{2}] U [\frac{3}{4}, ∞)

Graph: ←------\frac{1}{2}          \frac{3}{4}--------→

5 0
2 years ago
A turkey is 2 inches wide. The size doubles every minute it is seasoned. Write an expression for the width of the turkey after 5
Aleks04 [339]
After five minutes the turkey would be 32 inches wide here is the equation 2^5

8 0
3 years ago
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