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elixir [45]
2 years ago
6

What are the factors of this quadratic function?

Mathematics
1 answer:
balu736 [363]2 years ago
8 0

Answer:

<u>(x-1) and (x-5)</u>

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1
mafiozo [28]

Answer:

discount price = 0.75p

Step-by-step explanation:

100%-25% = 75% or 0.75

3 0
2 years ago
Solve the following congruence equations for X a) 8x = 1(mod 13) b) 8x = 4(mod 13) c) 99x = 5(mod 13)
xxMikexx [17]

Answer:

a) 5+13k  where k is integer

b) 20+13k where k is integer

c)12+13k where k is integer

Step-by-step explanation:

(a)

8x \equiv 1 (mod 13) \text{ means } 8x-1=13k.

8x-1=13k

Subtract 13k on both sides:

8x-13k-1=0

Add 1 on both sides:

8x-13k=1

I'm going to use Euclidean Algorithm.

13=8(1)+5

8=5(1)+3

5=3(1)+2

3=2(1)+1

Now backwards through the equations:

3-2=1

3-(5-3)=1

3-5+3=1

(8-5)-5+(8-5)=1

2(8)-3(5)=1

2(8)-3(13-8)=1

5(8)-3(13)=1

So compare this to:

8x-13k=1

We see that x is 5 while k is 3.

Anyways 5 is a solution or 5+13k is a solution where k is an integer.

b)

8x \equiv 4 (mod 13)

8x-4=13k

Subtract 13k on both sides:

8x-13k-4=0

Add 4 on both sides:

8x-13k=4

We got this from above:

5(8)-3(13)=1

If we multiply both sides by 4 we get:

8(20)-13(12)=4

So x=20 and 20+13k is also a solution where k is an integer.

c)

[tex]99x \equiv 5 (mod 13)[/tex

99x-5=13k

Subtract 13k on both sides:

99x-13k-5=0

Add 5 on both sides:

99x-13k=5

Using Euclidean Algorithm:

99=13(7)+8

13=8(1)+5

Go back through the equations:

13-8=5

13-(99-13(7))=5

8(13)-99=5

99(-1)+8(13)=5

Compare this to 99x-13k=5 and see that x=-1 or -1+13=12 or 12+13k is a solution where k is an integer.

8 0
2 years ago
Read 2 more answers
The capacity of a jug is 6L. Kerry needs 5L of juice for a party. how many jugs will she have to make?
zimovet [89]

Answer:

One

Step-by-step explanation:

Given data

The capacity of Jug= 6L

Needed capacity of Juice= 5L

Hence  one Jug of Juice will be enough because one jug of juice will cover for 6L and 1 L will actually remain

5 0
2 years ago
259 Students go on a field trip. There are 19 vehicles, some vans and some buses.
Sunny_sXe [5.5K]

Answer:

12 vans

7 Buses

Step-by-step explanation:

I tried multiple versions but I finally got it right.

Since the buses can hold 25 students at a time I multiplied it by 7.

7 x 25 = 175

Then you'll need to find the remainder.

259-175 = 84

This number would be used to find the students going in the van

84/7= 12

So in total there would be 12 vans

and 7 buses

I hope this helps

5 0
3 years ago
Choose the correct answer to 7,215 divided by 34 with a remainder
Vsevolod [243]
7,215: 34 = 0,212205882352941
7 0
2 years ago
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