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Nadusha1986 [10]
3 years ago
15

Jennifer has a beginning balance of $4,750 in her Checking account. After depositing a paycheck (p), she writes a check (c), and

another check (d). After writing the checks, she withdraws money from an ATM (a), then gets refunded some money (r) for returning a pair of shoes she bought. Write an Algebraic Expression that models the situation.
Mathematics
1 answer:
Zepler [3.9K]3 years ago
7 0

Answer:

An Algebraic Expression that models the situation is 4750+p-c-d+r

Step-by-step explanation:

Beginning balance of Jennifer=$4750

Now she deposits a paycheck = p

So, New balance = 4750+p

Now she writes a check = c

Remaining balance = 4750+p-c

Now she writes a check = d

Remaining balance = 4750+p-c-d

Now refunded some money (r) for returning a pair of shoes she bought.

New balance = 4750+p-c-d+r

Hence  an Algebraic Expression that models the situation is 4750+p-c-d+r

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The square root and cube root identities are proved.

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we have to find that the use of the square root identity (x − y)2 = x2 − 2xy + y2

And use of cube root identity a3 + b3 = (a + b)(a2 − ab + b2).

So, For this purpose, we know that the

A. Let us assume the two conditions.

So,

2x + 3y = 6  -(1)

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Here we use elimination method

So, Multiply 4 with (1) and 2 with (2)

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Let us assume a number 26 and 28 then fill it in the condition then

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And we have to prove the cube root identity then

The identity is

a^{3}  + b^{3}  = (a + b)(a^{2} - ab + b^{2})

Then let us assume the number 8 and 9 then

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8^{3}  + 9^{3}  = (8 + 9)(8^{2} - 8*9 + 9^{2})

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8^{3}  + 9^{3}  = (17)(73)

8^{3}  + 9^{3}  = (1241)

Hence by this way we prove the square and cube root identities.

So, The square root and cube root identities are proved.

Learn more about square root and cube root here

brainly.com/question/661780

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