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AysviL [449]
3 years ago
7

How many solutions does the system of equations below have? y = 3x + 4 y + 6 = 3x

Mathematics
1 answer:
Troyanec [42]3 years ago
6 0

Answer:

0 / no solutions

Step-by-step explanation:

Rewrite both in terms to the form y = equation.

EQ1: y = 3x + 4 (already in correct form)

EQ2: y = 3x - 6 (subtracting 6 from both sides).

Now suppose there is an intersection, then:

3x + 4 = 3x - 6, subtracting 3x from both sides gives:

4 = -6, which is a contradiction!

Therefore there are 0 / no solutions

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Step-by-step explanation:

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3 years ago
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Selecting 5 students to participate in a math contest would require the calculating of a permutation or combination?
Maslowich

Selecting 5 students to participate in a math contest would require combinations.

<u>SOLUTION: </u>

given that, Selecting 5 students to participate in a math contest would require the calculating of a permutation or combination?

So, we need to differentiate between permutations and combinations.

Permutations - In mathematics, permutation is the act of arranging the members of a set into a sequence or order

Combinations - In mathematics, a combination is a selection of items from a collection, such that the order of selection does not matter.

So, now, for our math test, we just require students but not in an order nor with arrangements.

Hence, selecting 5 students to participate in a math contest would require combinations.

3 0
3 years ago
The product of two positive consecutive integers is 462
Kitty [74]

Answer:

21 and 22

Step-by-step explanation:

if the first integers is n

The second will be n+1

n(n+1)=462

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n²+22n-21n+462=0

n(n+22)-21(n-22)=0

(n-21)(n-22)=0

n= 21 or 22

6 0
3 years ago
On a baseball field the infield area created by the baselines is square. In a youth baseball league this area is 3600 square fee
guajiro [1.7K]
You divide 3600/20,ad you will get 180 square feet.
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3 years ago
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GuDViN [60]

Answer:

12

Step-by-step explanation:

each side is 4 times bigger than the first quadrilaterals

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