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3 years ago

the table and grab both represent the same relationship. Which equation also represents the relationship?

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

7 0

Answer:

Fourth option y = x²

Step-by-step explanation:

It is clear from the graph that parabola passes through origin, which is it's vertex and line of symmetry is y-axis.

So the equation of the parabola will be y = (x - 0)² + 0

This equation of the parabola is in the vertex form [ y = (x - h)² + k]

Therefore, equation of the parabola will be y = x²

This equation is true for the given values of x and y in the table.

For (-2, 4) ⇒ 4 = (-2)²

For (-1, 1) ⇒ 1 = (-1)²

Fourth option y = x² is the answer.

Art [367]3 years ago

4 0

That would be y=x^2 as it is a parent function

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You spin the spinner once.

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Answer:

50%

Step-by-step explanation:

The P(even or divisor of 28) = P(even) + P(divisor of 28) - P(even and divisor of 28). The P(even) = 2/4 = 1/2. The P(divisor of 28) = 2/4 = 1/2. The P(even and divisor of 28) = 2/4 = 1/2 as 2,4 are even numbers and divisors of 28.

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2 years ago

What is each power of i with its multiplicative inverse.

pentagon [3]

Answer:

1) multiplicative inverse of i = -i

2) Multiplicative inverse of i^2 = -1

3) Multiplicative inverse of i^3 = i

4) Multiplicative inverse of i^4 = 1

Step-by-step explanation:

We have to find multiplicative inverse of each of the following.

1) i

The multiplicative inverse is 1/i

if i is in the denominator we find their conjugate

$=1/i * i/i\\=i/i^2\\=We\,\, know\,\, that\,\, i^2 = -1\\=i/(-1)\\= -i$

So, multiplicative inverse of i = -i

2) i^2

The multiplicative inverse is 1/i^2

We know that i^2 = -1

1/-1 = -1

so, Multiplicative inverse of i^2 = -1

3) i^3

The multiplicative inverse is 1/i^3

We know that i^2 = -1

and i^3 = i.i^2

$1/i^3\\=1/i.i^2 \\=1/i(-1)\\=-1/i * i/i\\=-i/i^2\\= -i/-1\\= i$

so, Multiplicative inverse of i^3 = i

4) i^4

The multiplicative inverse is 1/i^4

We know that i^2 = -1

and i^4 = i^2.i^2

$=1/i^2.i^2\\=1/(-1)(-1)\\=1/1\\=1$

so, Multiplicative inverse of i^4 = 1

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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