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salantis [7]
3 years ago
14

6x² – x=2 Factor and solve

Mathematics
1 answer:
const2013 [10]3 years ago
5 0

Answer:

x=2/3 or x=−1/2

Step-by-step explanation:

6x²−x=2

6x²−x−2=2−2

6x²−x−2=0

(3x−2)(2x+1)=0

3x−2=0 or 2x+1=0

x=2/3 or x=−1/2

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What number gives a result of −4 when 10 is subtracted from the quotient of the number and 4?
Arisa [49]

Answer:

6

Step-by-step explanation:

8 0
2 years ago
Fred works as an
OLEGan [10]

Step-by-step explanation:

so he already down 20 ft so he ascends (goes up) 9 feet, so hes at 11 feet right now. then he descends 12 (goes down) feet so hes at 23 feet. lastly he ascends 15 feet (goes up) more. so the answer is 8

7 0
3 years ago
Henry ran five races, each of which was a different positive integer number of
dolphi86 [110]

Answer:

10 miles.

Step-by-step explanation:

Let x be the number of miles on Henry's longest race.

We have been given that Henry ran five races, each of which was a different positive integer number of  miles.

We can set an equation for the average of races as:

\frac{\text{The sum distances of 5 races}}{5}=4

As distance covered in each race is a different positive integer, so let his first four races be 1, 2, 3, 4.

Now let us substitute the distances of 5 races as:

\frac{1+2+3+4+x}{5}=4

\frac{10+x}{5}=4

Let us multiply both sides of our equation by 5.

\frac{10+x}{5}*5=4*5

10+x=20

Let us subtract 10 from both sides of our equation.

10-10+x=20-10

x=10

Therefore, the maximum possible distance of Henry's longest race is 10 miles.

7 0
3 years ago
(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw
slavikrds [6]

Answer:

a. \frac{dT}{dt}=k(T-Tm); T(0)=190

b. C_{0}=122

c. k=-0.00259

d. t=153.39838\\ minutos

Step-by-step explanation:

a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

Tm=68

\frac{dT}{dt}=k(T-Tm); T(0)=190

b. The differential equation obtained is a differential equation of separable variables:

\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122

c. After 33 minutes of serving the coffee has cooled to 180°:

T(33)=122e^{33k}+68=180\\\\e^{33k}=\frac{112}{122}\\\\33k=Ln(\frac{112}{122})\\\\k=-0.00259

d.

150=122e^{-0.00259t}+68\\\\Ln(\frac{150-68}{122})=-0.00259t\\\\t=153.39838\\\\

8 0
3 years ago
How many meters are equal to 18 kilometers?
amid [387]

Answer:

18000

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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