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ZanzabumX [31]
3 years ago
14

Use quadratic formula to solve 1-6x^2-x​

Mathematics
1 answer:
eduard3 years ago
6 0

Answer:

(3x-1)(2x+1)

Step-by-step explanation:

1-6x^2-x=0

-6x^2-x+1=0

6x^2+x-1=0

6x^2+(3-2)x-1=0

6x^2+3x-2x-1=0

3x(2x+1)-1(2x+1)=0

(3x-1)(2x+1)=0

So the factor is (3x-1)(2x+1)

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1996 gail devers won the 100-meter dash in the olympic games. her times was 10.94 seconds. what was her speed in meters per seco
Alexeev081 [22]

Solving this problem is just pretty straight forward. We simply have to get the ratio of distance and time to get the speed. that is:

speed = distance / time

speed = 100 m / 10.94 s

<span>speed = 9.14 m/s</span>

6 0
3 years ago
To practice for a competition, Sonya swam 0.94 kilometer in the pool each day for 3 weeks. How many meters did Sonya swim in tho
Strike441 [17]

Answer:

Distance swam by Sonya in 3 weeks = 19740 m

Step-by-step explanation:

To practice for a competition, Sonya swam 0.94 kilometer in the pool each day for 3 weeks.

Number of days in 1 week = 7

Number of weeks she swam = 3

Total number of days she swam = 3 x 7 = 21 days

Distance swam per day = 0.94 km

Total distance swam = Total number of days she swam x Distance swam per day

Total distance swam = 21 x 0.94 = 19.74 km = 19.74 x 1000 m = 19740 m

Distance swam by Sonya in 3 weeks = 19740 m

7 0
3 years ago
A patient is instructed to take three 50-mcg tablets of pergolide mesylate (Permax) daily. How many milligrams of the drug would
Black_prince [1.1K]

Answer:

The patient would receive 1.05mg of the drug weekly.

Step-by-step explanation:

First step: How many mcg of the drug would the patient receive daily?

The problem states that he takes three doses of 50-mcg a day. So

1 dose - 50mcg

3 doses - x mcg

x = 50*3

x = 150 mcg.

He takes 150mcg of the drug a day.

Second step: How many mcg of the drug would the patient receive weekly?

A week has 7 days. He takes 150mcg of the drug a day. So:

1 day - 150mcg

7 days - x mcg

x = 150*7

x = 1050mcg

He takes 1050mcg of the drug a week.

Final step: Conversion of 1050 mcg to mg

Each mg has 1000 mcg. How many mg are there in 1050 mcg? So

1mg - 1000 mcg

xmg - 1050mcg

1000x = 1050

x = \frac{1050}{1000}

x = 1.05mg

The patient would receive 1.05mg of the drug weekly.

6 0
3 years ago
Could someone please explain/help me to do this using Pythagoras theorem?
alex41 [277]

Answer:

\boxed{478.02}

Step-by-step explanation:

→ First understand what Pythagoras theorem is

Pythagoras is a theorem used to find the hypotenuse (the side opposite to the right-angle) of a triangle. We would need the base lengths as well the height in order to use Pythagoras.

→ State the formula and identify the letters

a² + b² = c² ⇒ where 'a' is 380cm, 'b' is 290cm and 'c' is what we are trying to work out

→ Substitute in the values into the formula

380² + 290² = c²

⇒ Simplify

144400 + 84100 = c²

⇒ Collect the numbers together

228500 = c²

⇒ Square root both sides to find 'c'

478.0167361 = c

→ The length of the diagonal is 478.02

8 0
3 years ago
Diego is building a kitchen table and a coffee table. The legs of a kitchen table must be twice the height of a coffee table and
Montano1993 [528]
In the expression 4(x), 4 represents the number of legs, and x represents the height of the coffee table.

Altogether this expression shows the total length of all legs from the coffee table and kitchen table combined.
5 0
3 years ago
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