What multiplies to -900 and adds to 5?

Answers

Answer 1

Answer: xy = -900
x + y = 5

x + y = 5
x - x + y = -x + 5
y = -x + 5

xy = -900
x(-x + 5) = -900
  x(-x) + x(5) = -900
-x² + 5x = -900
-x² + 5x + 900 = 0
-1(x²) - 1(-5x) - 1(-900) = 0
  -1(x² - 5x - 900) = 0
-1 -1
x² - 5x - 900 = 0
x = -(-5) ± √((-5)² - 4(1)(-900))
  2(1)
x = 5 ± √(25 + 3600)
2
x = 5 ± √(3625)
2
x = 5 ± 5√(145)
2
x = 2.5 ± 2.5√(145)

  x + y = 5
2.5 ± 2.5 √(145) + y = 5
- (2.5 ± 2.5√(145) - (2.5 ± 2.5√(145)
y = 2.5 ± 2.5√(145)
  (x, y) = (2.5 ± 2.5√(145), 2.5 ± 2.5√(145))

The two numbers that add up to 5 and multiply to -900 are 2.5 ± 2.5√(145).

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Help me please I’m struggling 20 points

Answers

31.5

7 x 4 = 28 + 3.5 = 31.5

The answer is D. 4x7=28, half of 7 is 3.5, 28+3.5=31.5

Solve the inequalitiesg + 2 - 2 (g - 16) > 0

A. g > -30

B. g < -30

C. g > 34

D. g < 34

Answers

g + 2 - 2 (g - 16) > 0
g + 2 - 2g + 32 > 0
-g + 34 > 0
g < 34

Answer:

Your answer should be D. g < 34

Step-by-step explanation:

Simply use the order of operations.

$g + 2 - 2 (g - 16) > 0\ng + 2 -2g + 32 > 0\ng-2g+2+32>0\n-g+34-34>0-34\n-g-1>-34/-1$

Remember, when dealing with a negative in an inequality, your sign will flip/change the opposite direction.

$g<34$

Carlos bought a $235 water heater with his credit card. He used the water heater for five years before replacing it. He paid off the water heater after two years, making monthly payments. The water heater cost him an average of $1.56 per week in electricity, and $0.78 per week in water. If Carlos’s credit card has an APR of 14.15%, compounded monthly, and he made no other purchases with it, what percentage of the lifetime cost of the water heater was interest? (Round all dollar values to the nearest cent.)

Answers

First we will find the interest on:

P = $235 principal

t = 2 years

r = 0.1415 annual rate

A = future value

I = A - P the interest

A = P(1 + r)^t

A = 235(1 + 0.1415)^2

A = $306.21

I = A - P

I = $306.21 - $235

I = $71.21

the interest was $71.21.

Next lets find the lifetime cost value:

Lifetime cost value = 306.21 + 5*1.56*52 + 5*0.78*52 = $914.61 (considering that 1 year = 52 weeks)

Now lets find the percentage what percentage the interest is of the lifetime cost:

(71.21/914.61)*100 = 7.79%

Answer:

C. 4.12%

Step-by-step explanation:

Can some one please help me?

Answers

Answer:

the s is 4 and r is -3 and the other angle is 2

Step-by-step explanation:

if this right good but if it not i tried

Answer:

The length of RS is 5 units.

Step-by-step explanation:

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.

Simplify the square root of four over the cubed root of four.

Answers

$\bf ~\hspace{7em}\textit{rational exponents} \n\n a^{( n)/( m)} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-( n)/( m)} \implies \cfrac{1}{a^{( n)/( m)}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \n\n\n ~\hspace{7em}\textit{negative exponents} \n\n a^(-n) \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^(-n)} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^(-m)\implies a^(n-m) \n\n[-0.35em] \rule{34em}{0.25pt}$

$\bf \cfrac{√(4)}{\sqrt[3]{4}}\implies \cfrac{\sqrt[2]{4}}{\sqrt[3]{4}}\implies \cfrac{4^{(1)/(2)}}{4^{(1)/(3)}}\implies 4^{(1)/(2)}\cdot 4^{-(1)/(3)}\implies 4^{(1)/(2)-(1)/(3)}\implies 4^{(3-2)/(6)} \n\n\n 4^{(1)/(6)}\implies (2^2)^{(1)/(6)}\implies 2^{2\cdot (1)/(6)}\implies 2(1)/(3)\implies \sqrt[3]{2}$

Answer:

2 will be the answer

Step-by-step explanation:

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