x + 1/2 (x – 4) = 1/2 x + 6 (x – 2)
how many solutions does the equation have?

Answers

Answer 1

9514 1404 393

Answer:

  one solution

Step-by-step explanation:

There will be one solution if the left-side x-coefficient is different from the right-side x-coefficient.

Simplifying, we get ...

x + 1/2x -2 = 1/2x +6x -12

3/2x -2 = 13/2x -12

The left-side coefficient is 3/2, which is different from the right-side coefficient of 13/2. The equation will have one solution.

__

Add 12-3/2x to both sides to get ...

  10 = 5x

  2 = x . . . . . divide both sides by 5. This is the solution.


Related Questions

Help please !!! Need help

Answers

Answer:

234

Step-by-step explanation:

From the given information :

The 4th term, a4

a1 = 3

a2 = 4(a1) + 2

a2 = 4(3) + 2 = 14

a3 = 4(a2) + 2

a3 = 4(14) + 2

a3 = 58

a4 = 4a3 + 2

a4 = 4(58) + 2

a4 = 232 + 2

a4 = 234

What is the answer for the equation: -4.2a = 8.4

Answers

Answer:

the answer is in the photo

Step-by-step explanation:

I hoped I helped:)

a=8.4/-4.2
a=-2
…………………

Jay had three cupcakes he divided the cupcakes by 1/3 how many pieces of cupcakes does Jay have now

Answers

Answer:

9

Step-by-step explanation:

if one cupcake is split into 3 pieces *1/3 per piece* then 3 cupcakes would be 9 slices in total *3x3=9*

Andy wants to find the distance across a river. In order to find the distance CD, Andy stands at point D , directly across from point C , and walks 200 feet to the left, placing a marker at a point E. Andy continues walking another 300 feet to point A , and then follows the path to the left, walking until the markers at points E and C line up. Andy marks this location B and measures AB. What is CD

Answers

Answer:

98

Step-by-step explanation:

200/300 x 147= 98

A Sociology student investigated the association between a country's Literacy Rate and Life Expectancy, and then drew the conclusions listed below. Explain why each statement is incorrect. (Assume that all the calculations were done properly.)
a) The $$R^2$$ of 64% means that the Literacy Rate determines 64% of the Life Expectancy for a country.
b) The slope of the line shows that an increase of 5% in Literacy Rate will produce a 2-year improvement in Life Expectancy.

Answers

Solution :

The term 'literacy rate' provides the ability of a person who is from a definite age group can read or write.

a). [tex]$R^2$[/tex] does not determine the rate at which the variable explains another, but it explains the amount the amount of variability in one of the variables as explained by the other variable.

b). The slope given provides an expected improvement but it cannot guarantee the improvement. The value may be less or it could be more also.

The regression model provides the prediction and not the actual values.

Help me graph this plssss!!! I’d really appreciate it!

Answers

Answer:

Okay so, first put a dot on the number three. Next, go down one and over two from that spot (2, 2) and so on.

Step-by-step explanation:

Answer and step-by-step explanation:

Here, we are given a linear equation, meaning that the graph is going to be a straight line. Firstly, we must identify the slope and the y-intercept of the line.

y = -1/2x + 3

The -1/2x is our slope, and the 3 is our y-intercept. So, let's plot the coordinate (0, 3) because that is the y-intercept. Lastly, we must find how steep the line is, and what direction it goes to. As you can see, it is negative, so that means that the slope will go from the top left to the bottom right. And, the slope is -1/2, which means that for every time you go to right two, you will also go down one. Hope this helps!

The area of a square floor on a scale drawing is 36 square centimeters, and the scale drawing is 1 centimeter:3 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?

Answers

Answer:

36 answer

Step-by-step explanation:

The temperature in Mrs. Cagle's room was -14°F yesterday, but it rose 8°F today. What is the
new temperature today?

Answers

it's -6°F
-14°F+8°F= -6°F

Which expression is equivalent to 3 (x-9) + 6?

Answers

Answer: 3x-27

Step-by-step explanation:

Answer:

3x-21

Step-by-step explanation:

3(x-9)+6

3x-27+6

3x-21

Which set of ordered pairs is a function? {(1,1),(2, 2), (3, 3), (4,4), (5,5)} {(0,0),(1,1),(1, -1),(4,2),(4, -2)} {(2,1),(2,2).(2,3),(2,4),(2,5)} {(1,5).(2.4),(3,3).(2, 2), (1,1)​

Answers

[tex] \underline{ \underline{ \large{ \red{ \tt{✧ E\: X \: P \: L \: A \: N \: A \: T\: I \:O\: N}}}}} : [/tex]

❀ Here, We are given relation from A to B [ Suppose ] & We have to identify whether they are function or not from the relation A to B.

{ ( 1 , 1 ) , (2 , 2 ) , ( 3 , 3 ) , (4 , 4 ) , ( 5 , 5 )}

⇢ This is a function from A to B because every element of Set A has unique image in set B.

{( 0,0 ) , ( 1 , 1 ) , ( 1 , -1 ) , ( 4 , 2 ) , ( 4 , -2 ) }

⇢ This is not a function because two of the elements of Set A ( 1 & 4 ) are associated to elements -1 , 1 & 2 , -2 respectively of Set B

{ ( 2 , 1 ) , (2 , 2 ) , (2 , 3 ) , (2 , 4 ) , (2 , 5 )

⇢ This is not a function because the element of Set A ( 2 ) is associated to all the elements of Set B.

{ ( 1 , 5 ) , ( 2 , 4 ) , ( 3 , 3 ) , (2 , 2 ) , ( 1 , 1 )

⇢ This is not a function because the elements of Set A ( 1 & 2 ) are associated to elements ( 5 , 1 & 4 , 2 ) of Set B respectively.

[tex] \boxed{ \boxed{ \large{ \purple{ \tt{A \: N \: S \: W \: E \: R: \{ ( 1 , 1 ) , (2 , 2 ) , ( 3 , 3 ) , (4 , 4 ) , ( 5 , 5 ) \} }}}}}[/tex]

♨ Q. What is function ? How can we identify whether the given relation is a function ?

⟶Function is a special type of relation. Function is the refinement of relation. In a relation from A to B , every element of Set A has only one ( distinct ) image in B. In other words , if no two different ordered pairs have the same first component , then it is a function.

# STUDY TIP :

♕ Have a hard time memorising ?

Read it 10 times Say it 10 times Write it 2 times

ツ Hope I helped! ♡

✎ Let me know if you have any questions!

[tex] ♪ \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning ☄}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

How many classes would Gina need to take for the total cost to be the same at both dance studios

Answers

Answer:

How many classes is Gina taking?

Answer:

10

Step-by-step explanation:

right on edge

What's the right answer?

Answers

Given:

[tex]sinh(f(x))=1+x^2[/tex]

To find:

The value of f'(x).

Solution:

Formulae used:

[tex]\dfrac{d}{dx}sinh(x)=cosh(x)[/tex]

[tex]\dfrac{d}{dx}x^n=nx^{n-1}[/tex]

[tex]\dfrac{d}{dx}C=0[/tex]

Chain rule:

[tex]\dfrac{d}{dx}[f(g(x))]=f'(g(x))g'(x)[/tex]

Where C is an arbitrary constant.

We have,

[tex]sinh(f(x))=1+x^2[/tex]

Differentiate with respect to x.

[tex]cosh(f(x))f'(x)=0+2x[/tex]

[tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex]

Therefore, the required values is [tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex].

A distribution center makes deliveries to food stores on a weekly basis. On the average, 50 stores are served daily. A typical store places an order for 10,000 lb of various products. 4 store orders can be placed on a delivery truck. Trucks are loaded in 5 hours. The distribution center operates an 8 hour shift. How many truck doors are needed?

Answers

Answer:

3 doors needed

Step-by-step explanation:

The computation of the no of trucks doors that are needed is shown below:

= serve daily ÷ no of store orders ÷ no of store orders

= 50 ÷ 4 ÷ 4

= 3 doors needed

First we divided the serve daily from the no of store orders and then the value that comes so it would be divided by no of store orders again so that the no of truck doors could come

A restaurant did a survey among 100 customers to find their food preferences. The customers were asked about their preferences for chocolate cake or cheesecake. Out of the total 50 people who liked chocolate cake, 15 also liked cheesecake. There were 25 people who liked cheesecake.

Part A: Summarize the data by writing the values that the letters A to I in the table below represent.

Like chocolate cake Do not like chocolate cake Total
Like cheesecake A D G
Do not like cheesecake B E H
Total C F I


Part B: What percentage of the survey respondents did not like either chocolate cake or cheesecake?

Part C: Do the survey results reveal a greater dislike for chocolate cake or cheesecake? Justify your answer.

Answers

The values for the first part is..25 like choc...25 do not like choc..25 for the 3rd and yes..25 for 4th

Part b...zero percent..every 1 liked on or the other

Part c..it's equal for like choc..and same like cheese..

i NEED HELP PLEASE HELP ME

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The vertex is the extreme point of the curve. It lies on the vertical line that is the axis of symmetry.

The x-intercepts are where the graph crosses the x-axis. (They are symmetrically located about the axis of symmetry.)

The y-intercept is where the graph crosses the y-axis.

-4(6-b)=4 show work plz

Answers

Answer:

b= 7

Step-by-step explanation:

what is the reciprocal of 453463.432849

Answers

Answer: 0.00000220524

Step-by-step explanation:

The distance between the amusement park and the bus terminal on a map is 2.25 inches. The map uses a scale in which 1 inch represents 15 miles. What is the actual distance between the amusement park and the bus terminal?

Answers

Answer:

33.75 miles

Step-by-step explanation:

[tex]\frac{1}{15} :\frac{2.25}{y}[/tex]

1 × y = 2.25 × 15

y = 33.75

Enter the opposite of 4/5 and negitive 7/15

Answers

Answer:

-4/5 and 7/15

Step-by-step explanation:

the opposite of a number is a number that is equal length from 0 on a number line. So the opposite of 4/5 is -4/5 and the opposite of -7/15 is 7/15

---

hope it helps

how to get point of intersection of two lines​

Answers

Where the 2 lines meet in the middle to form an X

The two lines in the middle will cross each other

PLEASE ANSWER ASAP REALLY EASY QUESTION WILL GET BRAINLEST!!!!!!!!!!!
Is this a random or biased sample?

Answers

Answer:

It should be random (i think I don't know)

Step-by-step explanation:

Answer:

Yes it is biased

Step-by-step explanation:

Because instead of selecting a random variety of people they chose ones that are using their service...meaning they probably like the service. (I mean why else would they have it then)

Have a great day.

Which of these would not make you question the results of a study?
A. The source of the study benefiting from study conclusions
B. Assuming causation from correlation
C. A large sample
D. A large margin of error

Answers

c. !!! hope this helps

Round to the nearest hundredth (2 decimal places) when necessary

Answers

Answer:

216 is the area

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

if it's area, then:

area = 216 cm²

Step-by-step explanation:

area = 1/2bh = 1/2(27)(16) = 216 cm²

Round to the nearest hundredth (2 decimal places) when necessary

Answers

Answer:

148.92 is the area of the triangle

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

If it's area, then:

area = 148.92 in²

Step-by-step explanation:

area = 1/2(20.4)(14.6) = 148.92 in²

A math teacher at George Washington Middle School asked boys in the 6th and 7th grades to report their shoe size. She used the results to create these histograms

Which conclusion best supported by the histograms?
A as boys get older, shoe sizes become more normally distributed with fewer large outliers.
B As boys get older, shoe size range, defined by the minimum and maximum, decreases
C As boys get older, shoe sizes increase and the distribution remains relatively unchanged.
D As boys get older, shoe size distribution becomes more spread with more large outliers

Answers

Answer:

As boys gets older, shoe sizes becomes more normally distributed with fewer large outliers.

Step-by-step explanation:

A visual analysi ls of the histogram distribution provided, we can observe that size distribution of 6 graders is positively skewed (right tailed) as outliers seems more to the right(large sizes). However, the second graph is balanced with a normal or symmetric distribution representing older age (7th graders). Hence, we can conclude that as the boys gets older, they attain normality in terms of their shoe sizes. And the outliers which are characterized by the first histogram having vanished or reduced.

Find m angle 1.
A 100
B 25
C 80
D 105​

Answers

Answer:

C. 80

Step-by-step explanation:

m angle 1 = ½×(105+55)= ½× 160= 80°

Help, I tried! I tried using PEMDAS, but I can’t figure it out. Please explain this problem.

Answers

Answer:

10

Step-by-step explanation:

I’m stuck on this somebody help!! Please

Answers

C




Explanation:
*look at the number line br*
The answer is Definitely C

❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

Answers

Answer: b is the answer

Step-by-step explanation:

solve for x
x plus 15 = 60

Answers

Answer:

x = 45

Step-by-step explanation:

x + 15 = 60

=> x = 60 - 15

=> x = 45 (Ans)

Answer:

45

Step-by-step explanation:

x + 15 = 60

-15. -15

___. ____

x. = 45

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