All categories

3 years ago

What is 2x+1<8x-2 I dont get it please help

Mathematics

1 answer:

rjkz [21]3 years ago

6 0

Answer: x> 1/2

Step-by-step explanation:

if 2x+1∠ 8x-2

inequality , treat this problem like any other equation

have the unknown(x) in one side, and the values on the other side

2x-8x < -1-2

-6x< -3 we multiply by -1, do not forget if we multiply by -1 the sign will change

6x>3 divide by 3

2x>1

x>1/2

You might be interested in

What are the lower, middle, and upper quartiles of this data?

Grace [21]

Answer:

71, 71, 75, 85, 98, 98, 104, 111, 114, 122, 164

The middle quartile is 98.

The lower quartile is 80

The upper quartile is 112.5

8 0

3 years ago

A man walked steadily from 11.00am to 2.30pm at 5 kilometres per hour. how far did he walk

DerKrebs [107]

Taken time is from 11.00 am to 2.30 pm (14.30) = 14.30 - 11 = 3.30 hours

We know that D = S* T (D - distance, S - speed , T- time)

So, $D= \frac{5km}{h}*3.5h=\boxed {17.5 hours}$

5 0

3 years ago

Read 2 more answers

Solve: In 2x + In 2 = 0<br> DONE

pychu [463]

Answer:

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

Step-by-step explanation:

We can use some logarithmic rules to solve this easily.

<em>Note: Ln means $Log_e$ </em>

<em />

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

Moussa is ordering a taxi from an online taxi service. The taxi charges $2 just for the pickup and then an additional $0.75 per

diamong [38]

Answer:

$4.25

Step-by-step explanation:

.75 x 3 +2 +4.25

8 0

3 years ago

Shiloh is splitting a quart of mac n cheese with seven friends If all 8 of them share the quart equally, how many cups will each

NNADVOKAT [17]

Answer:

half a cup

Step-by-step explanation:

there are 4 cups in a quart they will each get half a cup

3 0

3 years ago