How do you factor this 8x^2+2x-21=0

Answers

Answer 1

Answer: $8x^2+2x-21=0 \n \n 8x^2+2x + 12x -12x-21=0\n\n8x^2+ 14x -12x-21=0 \n \n 2x(4x+7)-3(4x+7)=0\n\n(4x+7)(2x-3)=0$

$4x+7=0 \ \ or \ \ 2x-3 =0 \n\n4x=-7\ \ or \ \ 2x=3\n\nx=(-7)/(4)\ \ or \ \ x=(3)/(2)$

Answer 2

Answer: Solve it like this..
8x^2+2x-21=0
8x^2 + 14x - 12x -21=0
2x(4x+7) -3(4x+7) = 0
(4x+7)(2x - 3)=0

So factor 1 is 4x +7 =0
i.e. x=-7/4

Factor 2 is 2x -3 =0
i.e x=3/2

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Which measurement is equivalent to 1/2 gallon?128 fl. oz.
16 cups
2 quarts
8 pints

Answers

If you would like to know which measurement is equivalent to 1/2 gallon, you can calculate this using the following steps:

1 gallon = 128 fl. oz.
1 gallon = 16 cups
1 gallon = 4 quarts
1 gallon = 8 pints

1/2 gallon = 1/2 * 128 fl. oz. = 64 fl. oz.
1/2 gallon = 1/2 * 16 cups = 8 cups
1/2 gallon = 1/2 * 4 quarts = 2 quarts
1/2 gallon = 1/2 * 8 pints = 4 pints

Equivalent: 2 quarts.

Answer:

2 quarts is the answer

Is 6/5 greater or less than 3/3

Answers

6/5 is greater it is 1.2 while 3/3 is 1 so 6/5 is greater.

3/3 is greater because that makes a whole number while 6/5 doesn't.

Suppose you are traveling straight from Los Angeles, California to Albuquerque, New Mexico, stopping overnight in Flagstaff, Arizona. The distance from L.A. to Albuquerque is 810 miles, and the road connecting the three cities is a straight line. If the distance from L.A. to Flagstaff is 120 miles greater than the distance from Flagstaff to Albuquerque, how far is L.A. from Flagstaff, and how far is Flagstaff from Albuquerque?

Answers

We are given with three points: A is to Los Angeles, California, B is to Flagstaff, Arizona and C is to Albuquerque, New Mexico. We translate the statements:
AB is 120 + xBC is xAC is 810
Thus,
120 + x + x = 810x = 345 miles (B to C)120 + x = 465 miles (A to B)

Answer:

Albuquerque is 345 miles away from Flagstaff.

Step-by-step explanation:

We are given three cities:

Los Angeles, California(L.A.)
Flagstaff,Arizona
Albuquerque, New Mexico

The journey took place as:

L.A.--to-----Flagstaff-----to-----Albuquerque.

The distance between L.A. to Albuquerque is 810 miles.

Let the distance between Flagstaff to Albuquerque be 'x' miles.

Also we are given that the distance from L.A. to Flagstaff is 120 miles greater than the distance from Flagstaff to Albuquerque.

i.e. distance from L.A. to Flagstaff is 120+x.

therefore, 120+x+x=810

⇒ 120+2 x=810

⇒ 2 x=690

⇒ x=345.

Hence, the distance between Flagstaff and Albuquerque is 345 miles.

Ethan‘s bank account listed a balance of $328.80. He originally opened the account with a $200 deposit and a simple interest rate of 4.6% If there were no deposit or withdrawals, how long ago was the account opened