Graph x^3-x^2-2x=0 what are the solutions of the equation

Answers

Answer 1

Answer: x^3 - x^2 - 2x = 0
x ( x^2 - x - 2 ) = 0
x (x-2) (x+1) = 0
x = 0
x-2 = 0 --> x = 2
x+1 = 0 --> x = -1

x = 0, x = 2, x = -1

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Suppose you earned 7t - 1 dollars on Monday and 8t + 5 dollars on Tuesday. What were your total earnings? Simplify you answer. Please help!!!A: -t + 4 dollars
B: -t - 6 dollars
C: 15t - 6 dollars
D: 15t + 4 dollars

Answers

D) You set the equation together like this 7t-1+8t+5 , then you simplify. You would get 15t + 4.

Rewrite the expression x^3+10x^2+13x+39/x^2+2x+1 in the form of q(x)+r(x)/b(x)

Answers

$(x^3+10x^2+13x+39)/(x^2+2x+1)$

$x^3=x\cdot x^2$ , and $x(x^2+2x+1)=x^3+2x^2+x$ . Subtracting this from the numerator gives a remainder of

$(x^3+10x^2+13x+39)-(x^3+2x^2+x)=8x^2+12x+39$

$8x^2=8\cdot x^2$ , and $8(x^2+2x+1)=8x^2+16x+8$ . Subtracting this from the previous remainder gives a new remainder of

$(8x^2+12x+39)-(8x^2+16x+8)=-4x+31$

$-84x$ is not a multiple of $x^2$ , so we're done. Then

$(x^3+10x^2+13x+39)/(x^2+2x+1)=x+8+(-4x+31)/(x^2+2x+1)$

The Spartan Bike Shop has a credit card that they use for business transactions. Their starting amount is 4,500. Create a balance sheet similar to the one created in class which include: Date, Transaction, deposit withdraw and balance

Answers

Answer:

Step-by-step explanation:

Here is a sample balance sheet for the Spartan Bike Shop credit card transactions:

Date | Transaction | Deposit | Withdraw | Balance

--------------------------------------------------------------

01/01/2022 | Starting balance | - | - | $4,500

01/15/2022 | Purchase of supplies| - | $500 | $4,000

02/05/2022 | Payment received | $1,000 | - | $5,000

02/20/2022 | Equipment purchase | - | $2,500 | $2,500

03/10/2022 | Refund received | $300 | - | $2,800

In this example:

- The starting balance on 01/01/2022 is $4,500.

- On 01/15/2022, the shop made a purchase of supplies, resulting in a withdrawal of $500 from the credit card account, leaving a balance of $4,000.

- On 02/05/2022, the shop received a payment of $1,000, which was deposited into the credit card account, increasing the balance to $5,000.

- On 02/20/2022, the shop made an equipment purchase, resulting in a withdrawal of $2,500 from the credit card account, leaving a balance of $2,500.

- On 03/10/2022, the shop received a refund of $300, which was deposited into the credit card account, increasing the balance to $2,800.

This balance sheet provides a clear record of the credit card transactions for the Spartan Bike Shop, including the dates, transaction details, deposits, withdrawals, and the resulting balance after each transaction. It helps the shop keep track of their credit card activity and maintain an accurate record of their financial transactions.

F (x + 3)2 = 42, what is the approximate positive value of x? 0.48
3.48
5.48
6.48