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3 years ago

We can describe 3x-2 as an expression.

Mathematics

2 answers:

777dan777 [17]3 years ago

8 0

Answer:

3 and -2 is a terms and the x is the unknown

Step-by-step explanation:

Molodets [167]3 years ago

8 0

3 is the co efficient, x is the variable, and -2 is the constant

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Solve: In 2x + In 2 = 0 DONE

pychu [463]

Answer:

$x=\frac{1}{4}$

Step-by-step explanation:

We can use some logarithmic rules to solve this easily.

Note: Ln means $Log_e$

Now, lets start with the equation:

$ln(2x) + ln(2) = 0\\ln(2x) = -ln(2)$

Writing left side with logarithmic base e, we have:

$Log_{e}(2x) = -ln(2)$

We can now use the property shown below to make this into exponential form:

$Log_{a}b=x\\means\\a^x=b$

So, we write:

$Log_{e}(2x) = -ln(2)\\e^{-ln(2)}=2x$

We recognize another property of exponentials:

$a^{bc}=(a^{b})^{c}$

So, we write:

$e^{-ln(2)}=2x\\(e^{ln(2)})^{-1}=2x$

Also, another property of natural logarithms is:

$e^{(ln(a))}=a$

Now, we simplify:

$(e^{ln(2)})^{-1}=2x\\(2)^{-1}=2x\\\frac{1}{2}=2x\\x=\frac{\frac{1}{2}}{2}\\x=\frac{1}{4}$

This is the answer.

7 0

3 years ago

17 gallons of water are used to completely fill 4 fish tanks. If each tank holds the same amount of water how many gallons will

Kay [80]

Each tank holds 4.25 gallons! 17/4 is 4.25 :) hope this helps!

6 0

3 years ago

What is equivalent to 90/100

zysi [14]

$\frac{90}{100}= \frac{\not10 *9}{\not10 *10} \\ \\ \boxed{\frac{9}{10}}$

4 0

3 years ago

Which is the following represents the general term for the sequence 1,3,5,7,9

irinina [24]

N+2 is the answer because you add 2 to the previous term to get the next one.

6 0

3 years ago

Assume that the cheetah travels an average of 40 mph to go from its resting place to a rock near a river. On the return trip to

Ronch [10]

Answer:

The return trip take 5 minutes 27 seconds

Step-by-step explanation:

Let

x -----> the time it take the cheetah travels to go from its resting place to a rock near a river in hours

y ----> the time it take the cheetah the return trip to its resting place in hours

we know that

The distance from its resting place to a rock near a river is the same that the return trip

The average speed multiplied by the time is equal to distance

The total time is 15 minutes

Convert to hours

15 min=15/60 hours

x+y=(15/60)

x+y=1/4

4x+4y=1 -----> equation A

40x=70y ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point ( 0.1591,0.0909)

see the attached figure

The time it take the cheetah travels to go from its resting place to a rock near a river is 0.1591 hours

The time it take the cheetah the return trip to its resting place is 0.0909 hours

Convert to minutes and seconds

0.0909 hours=0.0909(60)=5.454 minutes

o.454 minutes=0.454(6)=27.24 seconds

therefore

The return trip take 5 minutes 27 seconds

To the river

The time it take the cheetah travels to go from its resting place to a rock near a river is 0.1591 hours

The rate is 40 mph

To find out the distance multiply the average rate by the time

Find out the distances

The distance from its resting place to a rock near a river is

$d_1=40x=40(0.1591)=6.36\ miles$

From the river

The time it take the cheetah the return trip to its resting place is 0.0909 hours

The rate is 70 mph

To find out the distance multiply the average rate by the time

Find out the distances

The distance of the return trip is

$d_2=70x=70(0.0909)=6.36\ miles$

Both distances are the same

8 0

3 years ago