Which expression is equal to x^3/5 times x^1/5

Answers

Answer 1

Answer: x^3/5 * x^1/5
when multiplying variables you add the exponents
3/5 + 1/5 = 4/5
x^4/5

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Which trinomial is equivalent to 3(x-2)^2 - 2(x-1)

Answers

Answer:

$3x^2-14x+14$

Step-by-step explanation:

the expression we have is:

$3(x-2)^2-2(x-1)$

to solve we need to develop the square binomial

$(x-2)^2$

with the following formula:

$(a-b)^2=a^2-2ab+b^2$

So we have:

$(x-2)^2=x^2-2*2x+2^2\n(x-2)^2=x^2-4x+4$

and the expression now is:

$3(x^2-4x+4)-2(x-1)$

developing multiplications to remove parentheses:

$3x^2-3*4x+3*4-2x+2*1\n3x^2-12x+12-2x+2$

joining like terms:

$3x^2-14x+14$

This expression can be simplified so it becomes:

(3x^2 - 4) - (2x - 1)

3x^2 - 2x - 3

A phone company charges $25 per month, plus an installation fee of $50. If you have paid the phone company $375, how many months have you had the phone?

Answers

The total bill was inclusive of the one-time payment of $50 and an additional payment of $25 per month. The only unknown variable here is the amount of months you've had the phone. This can be solved by isolating the unknown variable, like so:

Let: x = number of months

Total bill = one-time payment + monthly payment * number of months
$375 = $50 + $25x
375 - 50 = 25x
325 = 25x

325/25 = 25x/25
x = 13

Therefore, you've had the phone for 13 months.

Perform the indicated operations and express answers in simplest form.

3/x + 2/y - 4/xy

Answers

This will reqiure cross multiplication. We multiply by crossing the denominators and numerators. This is the solution : -

3/x + 2/y - 4/xy

= 3y+2x/xy - 4/xy                 (xy is common denominator)

=          3xy + 2x - 4
                  xy

If 12(5r + 6t) = w, then in terms of w, what is 48(30r + 36t)

Answers

The 12 is multiplied by 4 to get 48, andthe (5r + 6t) is multiplied by 6 to get (30r + 36t), thereforeyou are multiplying the outside by 4 and the inside by 6, puttingthose together is 24 for a factor.If 12(5r + 6t) = w, then48(30r + 36t) is equal to 24w.

Premonition : predestination ::a. forecast : weather
b. expectation : fulfillment
c. fear : accident
d. warning : fate

Answers

premonition is a strong feeling that something is about to happen, especially something unpleasant. and predestination is if you think everything happens for a reason and we have no control over our own futures.

final answer is I would say B

Simplify 7√2 plsssssssss

Answers

Answer:

Step-by-step explanation:

Multiply numerator and denominator by

√

Explanation:

√

⋅

(

√

)

√

That is considered "rationalized" since the denominator is now a rational number, 7.

Example: Simplify

√

Simplify the denominator first, then rationalize.

√

⋅

√

and reduce the

√

NOW, multiply top and bottom by

√

⋅

(

√

)

√

⋅

√

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Select the correct answer.A glass case is in the shape of a rectangular prism. The volume of the case is 4/125 cubic foot. How many cubic blocks with a side length of*1/5 foot would be required to find the volume of the glass case?A. 2B. 3C. 4D. 5