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Mice21 [21]
3 years ago
9

Factor completely:

Mathematics
1 answer:
Sergio [31]3 years ago
5 0

Answer:

a.-(p-1)(p-6)

b.(a+2)(a+2-b)

c 3(b-2)^2

d.(c-5)(1+2x)

Step-by-step explanation:

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Solve using the elimination method -4x-2y=-18​
Softa [21]

Step-by-step explanation:

-4x – 2y= -18

Add 2y to both sides

-4x- 2y+ 2y = -18 + 2y

Simplify

-4x = -18 + 2y

Divide both sides by -4

-4x/-4= -18/-4+ 2y/-4

simplify

x= - -9+y/2

5 0
2 years ago
For each x and n, find the multiplicative inverse mod n of x. Your answer should be an integer s in the range 0 through n - 1. C
krok68 [10]

Use the Euclidean algorithm to express 1 as a linear combination of x and n.

a. 52^{-1}\equiv40\pmod{77} because

77 = 1*52 + 25

52 = 2*25 + 2

25 = 12*2 + 1

so we can write

1 = 25 - 12*2 = 25*25 - 12*52 = (77 - 52)(77 - 52) - 12*52 = 77^2 - 2*52*77 + 52^2 - 12*52

Taken modulo 77 leaves us with

1\equiv52\cdot52-12\cdot52\equiv40\cdot52\pmod{77}\implies52^{-1}\equiv40\pmod{77}

b. First, 77\equiv25\pmod{52}, so really we're looking for the inverse of 25 mod 52. We've basically done the work in part (a) already:

1 = 25*25 - 12*52

Taken modulo 52, we're left with

1\equiv25\cdot25\pmod{52}\implies25^{-1}\equiv25\pmod{52}

c. The EA gives

71 = 1*53 + 18

53 = 2*18 + 17

18 = 1*17 + 1

so we get

1 = 18 - 17 = 3*18 - 53 = 3*71 - 4*53

so that taken module 71, we find

1\equiv(-4)\cdot53\pmod{71}\implies53^{-1}\equiv-4\equiv67\pmod{71}

d. Same process as with (b). First we have 71\equiv18\pmod{53}, and we've already shown that

1 = 3*18 - 53

which means, taken modulo 53, that

1\equiv3\cdot18\pmod{53}\implies71^{-1}\equiv18^{-1}\equiv3\pmod{53}

6 0
3 years ago
What does the slope of the line represent?​
Rashid [163]

Answer:

For each hour Cara works, she earns $10.

Step-by-step explanation:

You could see that on the graph that for 5 hours Cara has worked, she earns 50 dollars. The slope would be 50/5. 50/5 is equal to 10/1 through dividing so Cara earns $10 for each hour she works.

6 0
3 years ago
64% of 75 tiles show work
icang [17]
48 because, 
<span>For example
To find x percent of y you can just do </span>
<span>y times x/100 </span>
<span>So in this case </span>
<span>100 times 20/100 </span>
<span>which comes to 20 </span>
<span>so 20% of 100 is 20. </span>
5 0
3 years ago
Ken paid $12 for two magazines. The cost of each magazine was multiple of $3. What are the possible prices of the magazines?
icang [17]

The price for one magazine is $6. Hope this helps. Happy Thanksgiving

7 0
3 years ago
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