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dalvyx [7]
4 years ago
8

How many solutions are there to the following system of equations?

Mathematics
1 answer:
Tanya [424]4 years ago
5 0
4x-14y=6 \\
-2x+7y=-3 \ \ \ |\times 2 \\ \\
4x-14y=6 \\
\underline{-4x+14y=-6} \\
4x-4x-14y+14y=6-6 \\
0=0 \\ always \ true \\ \\
\boxed{\hbox{infinitely many solutions}} \Leftarrow \hbox{answer C}
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Convert 22 to a numeral in base 2.
musickatia [10]
The answer is 10110

===============================================

Explanation:

Divide 22 over 2. Use long division to find the quotient and remainder
22/2 = 11 remainder 0 <<--- this remainder will be used later. Call it A, so A = 0

Now repeat for the value 11, which was the quotient above
11/2 = 5 remainder 1 <<--- this remainder will be used later. Call it B, so B = 1

Repeat again for the quotient we just got
5/2 = 2 remainder 1 <<--- this remainder will be used later. Call it C, so C = 1

Repeat again
2/2 = 1 remainder 0 <<--- this remainder will be used later. Call it D, so D = 0

Repeat again
1/2 = 0 remainder 1 <<--- this remainder will be used later. Call it E, so E = 1

The last quotient above is 0, so we stop here. If we tried to keep going, then we'd get nothing but 0 remainders forever.

The remainders we got above were:
A = 0
B = 1
C = 1
D = 0
E = 1

The idea is to read the remainders in reverse order in which we found. So we start with E and work back to A
E = 1
D = 0
C = 1
B = 1
A = 0

So 22 base 10 = 10110 base 2

5 0
3 years ago
Read 2 more answers
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julia-pushkina [17]

Answer: a= c+11

Step-by-step explanation:

a has 9 more than b which has 2less than c

7 0
3 years ago
Find the sum. I need help.​
Artyom0805 [142]

Answer:

B

Step-by-step explanation:

Bbbbbbbbbbbbbbbbbbbbbbbbbb

6 0
3 years ago
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Assume that the notation (a,r,s,t) means multiply q and r, then add the product to s and (2,6,4,8)+(4,7,2,6)? Please show work a
Mama L [17]
<h3>Answer:  7.0   (choice E)</h3>

=============================================

Work Shown:

\perp (q,r,s,t) = \frac{qr + s}{t}\\\\\perp (2,6,4,8) = \frac{2*6 + 4}{8}\\\\\perp (2,6,4,8) = \frac{12 + 4}{8}\\\\\perp (2,6,4,8) = \frac{16}{8}\\\\\perp (2,6,4,8) = 2\\\\

Let m = 2 so we can use this result later.

\perp (q,r,s,t) = \frac{qr + s}{t}\\\\\perp (4,7,2,6) = \frac{4*7 + 2}{6}\\\\\perp (4,7,2,6) = \frac{28 + 2}{6}\\\\\perp (4,7,2,6) = \frac{30}{6}\\\\\perp (4,7,2,6) = 5\\\\

Let n = 5 so we can use this result later.

Add the two results.

m+n = 2 + 5 = 7.0 is the final answer.

5 0
2 years ago
Use properties ti find the sum or product
omeli [17]
Find the sum or product of what?
5 0
3 years ago
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