what is the completely factored form of t^4 − 16? (t^2 4)(t^2 − 4) (t^2 4)(t 2)(t − 2) (t^2 4)(t − 2)(t − 2) (t 2)(t 2)(t 2)(t − 2)

Answers

Answer 1

Answer: $Use:a^2-b^2=(a-b)(a+b)\n\nt^4-16=(t^2)^2-4^2=(t^2-4)(t^2+4)=(t^2-2^2)(t^2+4)=(t-2)(t+2)(t^2+4)$

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Use the solutions below to write the quadratic expression in standard form. x = 3/4 and x = -5/6

Answers

Answer:

Hi,

Step-by-step explanation:

The sum of the roots is:

$(3)/(4) -(5)/(6) =-(1)/(12) \n$

The product of the roots is:

$(3)/(4) *(-(5)/(6)) =-(5)/(8) \n$

Quadratic equation in standard form is:

$x^2+(x)/(12) -(5)/(8) =0\n$

One T-shirt is sold for every 5 people who attend a concert. What is one way to write the unit rate in words?

Answers

Answer : the answer is 5 people per T-shirt

Step-by-step explanation: because its 5 people per 1 T-shirt

Describe the sign of the quotient of two integers when: Both integers are positive. Positive Negative

Answers

The sign of the quotient of two integers depends on the signs of the integers being divided.

Both integers are positive: When both integers are positive, the quotient will also be positive. This is because dividing positive numbers will always result in a positive value.

For example, if we divide 8 by 2, the quotient is 4

Positive divided by negative: When a positive integer is divided by a negative integer, the quotient will be negative. This is because dividing a positive number by a negative number results in a negative value.

For example, if we divide 10 by -2, the quotient is -5

In summary, the sign of the quotient of two integers depends on the signs of the integers being divided. If both integers are positive, the quotient will be positive. If a positive integer is divided by a negative integer, the quotient will be negative.

What value of x makes the equation true ? 4(2x-4)=16