1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IceJOKER [234]
3 years ago
6

4x+8x−6=1 What is the solution to the equation above? Answer Choices x=−23 x=−25 x=−143 x=23

Mathematics
1 answer:
dybincka [34]3 years ago
4 0
Divide each term by <span>66</span> and simplify.
<span><span><span>|6−4x|</span>=<span><span>4x</span>3</span>+<span>23</span></span><span><span>|6-4x|</span>=<span><span>4x</span>3</span>+<span>23</span></span></span>Remove the absolute value term. This creates a <span>±±</span> on the right side of the equation because <span><span><span>|x|</span>=±x</span><span><span>|x|</span>=±x</span></span>.<span><span>6−4x=±<span><span>4x</span>3</span>+<span>23</span></span><span>6-4x=±<span><span>4x</span>3</span>+<span>23</span></span></span>Set up the positive portion of the <span>±±</span> solution.<span><span>6−4x=<span><span>4x</span>3</span>+<span>23</span></span><span>6-4x=<span><span>4x</span>3</span>+<span>23</span></span></span>Solve the first equation for <span>xx</span>..<span><span>x=1</span><span>x=1</span></span>Set up the negative portion of the <span>±±</span> solution.<span><span>6−4x=−<span>(<span><span>4x</span>3</span>+<span>23</span>)</span></span><span>6-4x=-<span>(<span><span>4x</span>3</span>+<span>23</span>)</span></span></span>Move <span>xx</span> to the right side of the equation by subtracting <span>xx</span> from both sides of the equation.<span><span>−<span><span>8x</span>3</span>=−<span>203</span></span><span>-<span><span>8x</span>3</span>=-<span>203</span></span></span>Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.<span><span><span>(−8x)</span>⋅<span>(3)</span>=<span>(3)</span>⋅<span>(−20)</span></span><span><span>(-8x)</span>⋅<span>(3)</span>=<span>(3)</span>⋅<span>(-20)</span></span></span>Solve the equation for <span>xx</span>..<span><span>x=<span>52</span></span><span>x=<span>52</span></span></span>The solution to the equation includes both the positive and negative portions of the solution.<span>x=1,<span><span>52</span></span></span>
You might be interested in
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is r
svp [43]

Answer:

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.

This means that a = 50, b = 52

If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min.

P(51.5 \leq X \leq 51.7) = \frac{51.7 - 51.5}{52 - 50} = \frac{0.2}{2} = 0.1

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.

3 0
3 years ago
a car traveling at a constant speed travels 175 miles in 4 hours? How many minutes will it take for the car to travel 1000 feet?
liubo4ka [24]

Answer:

0.26 minutes

Step-by-step explanation:

So if you want to solve this, you need to make all the units the same first. What you first need to work on is the rate, since what it is asking is minutes given distance in feet.

We know that there are:

5280 ft in a mile

60 minutes in an hour

We then convert the rate knowing this:

\dfrac{174\:miles}{4\:hours}\times\dfrac{5280ft}{1\:mile}\times\dfrac{1hour}{60\:minutes} = \dfrac{918,720ft}{240\:minutes} = \dfrac{3828\:feet}{1 minute}

In short, the car is traveling 3,828 ft every minute.

To determine how many minutes it will take for the car to travel just remember that:

speed=\dfrac{distance\:travelled}{time}\;\rightarrow\;time=\dfrac{distance\;travelled}{speed}

Now we plug in what we know and solve what we don't know:

time=\dfrac{1000feet}{\dfrac{3828ft}{1minute}}\;\rightarrow\;1000ft\times\dfrac{1\:minute}{3828ft}=0.26\:minutes

3 0
3 years ago
At PRMS, 25% of the 124 students Mrs. Pasternak teaches buy their lunches in the cafeteria. How many students buy their lunches
Ksju [112]
25% = 0.25
124 x 0.25 = 31

31 students bought their lunch.

Part = 31
Percent = 25%
Whole = 124

Hope this helps! ✨
6 0
3 years ago
2. You plant 48 seeds of a certain flower and 32 of them sprout. Find the
Neko [114]

Answer:

<em>The probability that the next flower seed will sprout is 0.667 or 66.7%</em>

Step-by-step explanation:

<u>Probability</u>

The experimental or empirical probability can be defined as the ratio of the number of times an event occurs to the total number of times the random activity was performed.

It can be calculated as the relative frequency of an event A in a sample space. The question states 32 seeds of a certain flower sprout out of 48 planted seeds. The relative frequency of success is computed as

\displaystyle P(A)=\frac{32}{48}=\frac{2}{3}=0.667

Thus, the probability that the next flower seed will sprout is 0.667 or 66.7%

6 0
3 years ago
(3x+1)^1/3=4. How to solve?
xz_007 [3.2K]

Answer:

exact form: 11/3

decimal form: 3.6666...

Mixed number form: 3 2/3

8 0
3 years ago
Other questions:
  • Need help !! Thanks !!!!!
    10·1 answer
  • A tin man has a head that is a cylinder with a cone on top. The height of the cylinder is 12 inches and the height of the cone i
    12·1 answer
  • Represent the following sentence as an algebraic expression, where "a number" is the letter x. The product of 8 and a number.​
    6·1 answer
  • The average of 2 numbers is 1/2. if one of the numbers is 11/17 then the other number is ___
    14·1 answer
  • A bike shop has 11 red bikes, 3 blue bikes, 4 orange bikes, and 12 silver bikes. For every 1 orange bike, there are 3 what? Choo
    7·2 answers
  • A line passes through (6,3), (8,4), and (n,-2). Find the value of n.
    12·1 answer
  • What is 5/7 written as a decimal to the nearest hundredth?
    9·1 answer
  • HELP I NEED HELP ASAP
    6·1 answer
  • Fill in the blank by choosing the most appropriate word.
    13·1 answer
  • 9 boxes of cookies cost $38.07. How many boxes did Gina buy if she spent $16.927
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!