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Bezzdna [24]
3 years ago
7

What is the solution to 9ab+12+ax-6b-8x

Mathematics
1 answer:
monitta3 years ago
7 0
9ab + 12 + ax - 6b - 8x
9ab + ax - 8x - 6b + 12
9ab + (a - 8)x - 6b + 12
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Find the equivalent expression 5^6
Naily [24]
5^12/5^6 Is the correct response. When equal numbers with different exponents are divided then the you must subtract the exponents. 
Thus 12-6 = 6. 
6 0
3 years ago
Two numbers, a and b, are stored in one byte floating point notation using the least significant (rightmost) 3 bits for the expo
ehidna [41]

a=00110111 = 00110_2 \times 2^{111_2} = 6 \times 2^{-1} = 3


b=11011000 =  11011_2 \times 2^{000_2} = -(0100_2 + 1) =-(4+1)=-5


a+b=-2 = -1 \times 2^{001} = -2 \times 2^{0} = -4 \times 2^{-1} etc.


a+b=-2 = 11111001 = 11110000 = 11100111 = ...


Hard to select the correct answers without seeing the choices. Let's check a couple,


11111001 = -(00000+1) \times 2^{1} = -2 \quad\checkmark


11110000 = -(00001 + 1) \times 2^{0} = -2 \quad\checkmark


11100111 = -(00011 + 1) \times 2^{-1} = -4/2= -2 \quad\checkmark


4 0
3 years ago
The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori
Aliun [14]

Answer:

46

Step-by-step explanation:

Let (ab) represent a number with a in the ten's position and b is the one's position.

This means (ab) actually has value of 10a+b.

We are given the sum of those digits of (ab) is 10; this means a+b=10.

It says if 18 is added to the number (ab), then the result is (ba).

So (ab) has value 10a+b and

(ba) has value 10b+a.

We are given then:

(ab)+18=(ba)

10a+b+18=10b+a

Subtract 10a on both sides:

b+18=10b+a-10a

Simplify:

b+18=10b-9a

Subtract b on both sides:

18=10b-b-9a

18=9b-9a

Divide both sides by 9:

2=b-a

Rearrange by commutative property:

2=-a+b

So the system of equations we want to solve is:

a+b=10

-a+b=2

-------------------------Add equations together (this will eliminate the variable a and allow you to go ahead and solve for b:

0+2b=12

2b=12

Divide both sides by 2:

b=\frac{12}{2}

Simplify:

b=6

If b=6 and a+b=10, then a=4.  a=4 since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

7 0
3 years ago
The shop declare a discount of 20% and later a discount of 15% after
elena55 [62]
Total discount will be 35%.
3 0
3 years ago
Read 2 more answers
Find the slope of the line.
Morgarella [4.7K]

The slope:

m=\dfrac{\Delta y}{\Delta x}

Look at the picture.

6 units down → -6

2 units right → 2

m=\dfrac{-6}{2}=-3

<h3>Answer: Slope = m = -3</h3>

8 0
3 years ago
Read 2 more answers
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