How to factor completely: 15x²-40x-15

Answers

Answer 1

Answer: $15x^2-40x-15 =0\ \ /:5\n \n3x^2-8x-3 =0 \n \na=3, \ b=-8 , \ c= -3 \n \n\Delta =b^2-4ac =(-8)^2 -4\cdot 3\cdot (-3)=64+36=100 \n \nx_(1)=(-b-\Delta )/(2a)=(8-√(100))/(2 \cdot 3)=(8-10)/(6)=-(2)/(6)=-(1)/(3)$

$x_(2)=(-b+\Delta )/(2a)=(8+√(100))/(2 \cdot 3)=(8+10)/(6)= (18)/(6)=3\n \n 3x^2-8x-3 = 3(x+(1)/(3))(x-3)=(3x+1)(x-3) \n \n \nAnswer : \ 15x^2-40x-15 = 3x^2-8x-3 =(3x+1)(x-3)$

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The diameter of a sphere joins __________. any two points on the sphere

the center and a point on the sphere
any two points on the sphere and contains the center

any two points on the sphere and does not contain the center

Answers

Answer: Third option is correct.

Step-by-step explanation:

The diameter of a sphere joins any two points on the sphere including the center as these three lines must be collinear.

Diameter of sphere divide the sphere into two equal parts.

And Diameter is the longest chord.

So, the diameter of a sphere joins any two points and contains the center.

Hence, third option is correct.

If you come to work at 7:00 and stay 'till 4:15 with a 30 minute lunch - in decimal notation - how many hours did you work?

Answers

8.5 hours i think ...............................................................................

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!FACTOR the expression over the COMPLEX numbers.

Answers

$x^2+36=(x-6i)(x+6i)$

Samuel has $2,000 in the bank and owns a car worth $9,000. He also has $10,000 worth of student loans and a $500 credit card bill. What is Samuel's net worth?Select the best answer from the choices provided.
A.
$0
B.
$15,000
C.
$1,100
D.
$500

Answers

Answer:

Option D is the correct choice i.e. $500.

Step-by-step explanation:

Given the bank balance is 2,000 dollars.

Given the Car's worth is 9,000 dollars.

His Total assets = Bank balance + Car's worth.

Total Assets = 2000 + 9000 = 11,000 dollars.

Given the student loan is 10,000 dollars.

Given the credit card bill is 500 dollars.

His total liability = Student loan + Credit card bill.

Total Liability = 10,000 + 500 = 10,500 dollars.

We know Net worth = Total Assets - Total Liability

Net worth = 11,000 - 10,500 = 500 dollars.

Hence, option D ic correct, i.e. 500 dollars.

Answer:

$10,500

Step-by-step explanation:

your answer choices are wrong. LOL.

The answer is $10,500 because that is his CURRENT debt. It does not matter how much money he has in the bank or how much his car is worth... those are called assets . Assets don't pay your debts HAHA.

Im a math teacher and just taught this to my students and the correct answer was $10,500 (on plato)

9,000 + 2,000 = 11,000 ... good for you on having some assets. you STILL owe your student loans and credit card bill worth $10,500 hahaha

Is 1 whole 5/10 larger then 1 whole and 2/10?