please dont answer if you are not 100% sure.
Make sure you answer both parts and be detailed in your explanation.

a) The equation 2x + 8 = 2(x+4) works for all values of x. Explain how you know.

b) The equation 3x +7 = 3(x+7) works for no values of x. Explain how you know.

Answers

Answer 1

Answer:

a) 2x + 8 = 2(x + 4) has infinite solutions because it simplifies down to x = x. Here is the work where this equation is solved.

2x + 8 = 2(x + 4)

2x + 8 = 2(x) + 2(4)

2x + 8 = 2x +8

2x + 8 - 8 = 2x + 8 -8

2x = 2x

2x/2 = 2x/2

x = x

So, because the equation ends in x = x, you can substitute any value for x and the equation will remain true.

----------------------------------------------------------------------------------------------------------------

b) 3x + 7 = 3(x + 7) has no solutions because it simplifies down to an untrue statement. The equation is simplified below.

3x + 7 = 3(x + 7)

3x + 7 = 3(x) + 3(7)

3x + 7 = 3x + 21

3x + 7 - 7 = 3x + 21 - 7

3x = 3x + 14

3x/3 = 3x/3 +14

x = x + 14

However, this is false. x cannot be equal to itself plus 14.

x ≠ x + 14

The simplification of this equation is untrue, so there is no solution to it.

----------------------------------------------------------------------------------------------------------------

I hope this is helpful :) Good luck


Related Questions

⚠️PLEASEEEEE HELPPPPPP !!!

Answers

Answer:

38

Step-by-step explanation:

I'm pretty sure its just the same

a shopkeeper bought 2 watches for rs 400. he sold them to gain 5% one and loss 5% on other. calculate his final gain or loss percent. if the selling price of both watches is same.​

Answers

He made no gain

He bought 2 watches for $400
400/2=200
Each watch was $200
He gained 5% on one watch
200•1.05=210
He lost 5% on the other
200•0.95=190
210+190=400
Therefore he neither made nor lost any money

HELP ME PLEASEEEEEEEEE

Answers

The Answer Is 1.7 Pounds.

Answer:

1.7 pounds

Step-by-step explanation:

7.9 - 6.2= 1.7

I Bought 10 apples three days ago. 3 of them were rotten, I ate 2 and gave 5 away. How many apples do I have left?

I'll give you 30 points if you get this right. CHOOSE WISELY :)

Answers

Answer: 0

Step-by-step explanation: if you gave 5 away your left with 5 if 3 were rotten your left with 2 but you ate 2 meaning you have no apples left.

Factor out the GCF of the three terms, then complete the factorization of x4 + 7x + 10x^2

Answers

Hi. Can you put like a photo please?

Really stumped on these 2 problems anybody know anything? "Find the circumference of each circle. Round to the nearest tenth. Use 3.14 or 22/7 for π"

Answers

Answer:

1. 15.7 in

2. 153.9 cm

Step-by-step explanation:

The circumference of a circle is found by the formula:

C = 2 * pi * r, where r represents the radius.

For the first circle, we substitute in 3.14 for pi and the given radius:

C = 2 * 3.14 * 2.5

C = 15.7 in

However, for the second circle, the diameter is given instead of the radius.

As the radius is just half of the diameter, we can find that it is 24.5 cm.

Substituting the values in, we get:

C = 2 * 3.14 * 24.5

C = 153.86 cm

Rounding to the nearest tenth gives us:

153.9 cm

Make sure to use the correct units for each question.

2.6x + 10.5 = 31.3
I need help ASPAP!!

Answers

the answer is on the picture

Answer: x=8

Step-by-step explanation: Hope this help :D

Will give brainlst!!

Have a amazing day :)
Pls help

Answers

Answer:

Sorted Data Set: 2, 10, 12, 13, 14, 15, 17, 18, 18, 20, 21

Mean (Average) 14.545454545455

Median 15

Range 19

Mode 18, appeared 2 times

Geometric Mean 12.803503609558

Largest 21

Smallest 2

Sum 160

Count 11

First Quartile Q1 = 12

Second Quartile Q2 = 15

Third Quartile Q3 = 18

Interquartile Range IQR = 6

Multiple regression is sometimes used in litigation. In the case of Cargill, Inc. v. Hardin, the prosecution charged that the cash price of wheat was manipulated in violation of the Commodity Exchange Act. In a statistical study conducted for this case, a multiple regression model was developed to predict the price of wheat using three supply-and-demand explanatory variables.Data for 14 years were used to construct the regression equation, and a prediction for the suspect period was computed from this equation. The value of R2was 0.989.
(a) The fitted model gave the predicted value $2.136 with standard error $0.013. Express the prediction as an interval. (The degrees of freedom were large for this analysis, so use 100 as the df to determine t*.)
(b) The actual price for the period in question was $2.13. The judge decided that the analysis provided evidence that the price was not artificially depressed, and the opinion was sustained by the court of appeals. Write a short summary of the results of the analysis that relate to the decision and explain why you agree or disagree with it.

Answers

Answer:

($2.123 ; $2.149)

Step-by-step explanation:

The prediction interval is expressed as :

Predicted value ± standard Error

Predicted value = $2.136

Standard Error = $0.013

Prediction interval :

Lower boundary = $2.136 - $0.013 = $2.123

Upper boundary = $2.136 + $0.013 = $2.149

($2.123 ; $2.149)

B.) The prediction interval provides a range for which the predicted value or price should fall Given a certain degree of probability. If the true value falls within this interval, then, our prediction would be deemed to have occurred not by chance.

Since the actual price within the predicted price interval, then I agree with the judge's Decison that the price was not artificially depressed.

Please help!

Thank you ☺️

Answers

Answer:

I think it's,1,7,7 that will not make a triangle

hope this help

What is the measure of m?

Answers

m=6

this is because m=n=6 since the triangle is an equilateral triangle

hope it helps:)))

Answer:

m=6 hope this helps. byer

Rachel received $650 for her birthday. She purchased a surfboard for $477 and some additional accessories without spending more than the money she received.

She wrote the inequality 477 + x < 650.

Is the inequality correct?

Answers

Answer:

No, because the inequality symbol should be less than or equal to 650

Taylor has a set of 13 cards, labeled 1 through 13. If she chooses a card at random, what is the probability that the number on it is a prime number?

Answers

Answer:

B. 6/13

Step-by-step explanation:

No of sample space, n(s) = 13

Prime numbers

= ( 2 , 3 , 5 , 7 , 11, 13 )

No of favourable cases, n (e) = 6

Now

Probability that the number on it is a prime number is

P(E) = n(e) / n(s)

= 6/13

Hope it will help :)❤

If you have 440 red and blue buttons predict how many would be red.

Answers

Answer:

maybe 220/440?  

Step-by-step explanation:

Answer mark me branlyist

Step-by-step explanation:

Ms. Phillips ordered 56 pizzas for a school fundraiser. Of the pizzas ordered, 2/7 of them were pepperoni, 19 were cheese, and the rest were veggie pizzas. What fraction of the pizzas was veggie?

Answers

Answer:

5 / 28

Explanation:

Total number of Pizza's ordered = 56

Pepperoni = 27

Cheese = 19

The remainder were Veggie ;

Fraction of pizza that were. Veggie

Number of pizza's that were Veggie :

56 - (27 + 19)

56 - 46

= 10

Fraction of Veggie pizza :

Number of Veggie pizza / total number of Pizza's

10 / 56

= 5 / 28

A physiologist believes he has discovered a new steroid hormone that can control the blood glucose in mammals. In an experiment he injects laboratory rats with a small amount of this steroid hormone and, after a suitable waiting period measures the blood glucose level of the rats. In his twelve experimental rats he obtains the following levels of blood glucose {35,36,37,33,34,35,33,35,37,36,34,35}. From previous studies of thousands of normal, un-manipulated rats he knows that the mean (mu) blood glucose level in this species of rat (his laboratory population) is 31 and that the standard deviation is 4.12. Evaluate the hypothesis that this new steroid hormone affects blood glucose levels. Use an alpha-level of 0.01 for this analysis.

Required:
a. What is the appropriate test?
b. State the null hypothesis.
c. State the alternative hypothesis.
d. Find the critical value.
e. Calculate the obtained statistic.

Answers

Answer:

1.) One sample t test

2.) New steroid does not decrease blood glucose level in rats ; H0 : μ = 31

3.) New steroid does blood glucose level in rats ; H1 : μ ≠ 31

4.) 2.718

5.) 3.36

Step-by-step explanation:

We only have one sample; hence, we use an independent sample t test.

Given the sample data :

X : 35,36,37,33,34,35,33,35,37,36,34,35

Using calculator;

Sample mean, Xbar = 35

Null hypothesis ;supports that the mean glucose level of species equals ; H0 : μ = 31

The alternative hypothesis ; H1 negates the null hypothesis and aligns with the sample mean ; 35 > 31 ;

H1 : μ > 31

The critical value can be obtained from the T-distribution table ;

α = 0.01 ; degree of freedom, df = n - 1 = 12 - 1 = 11

Tcritical value = 2.718

Tstatistic : (xbar - μ) ÷ (s/√n)

Tstatistic = (35 - 31) ÷ (4.12/√12)

Tstatistic = 3.36

Tstatistic is more extreme Than the critical value

todd can ride 45 miles in 5 hours. write an equation to find m, the number of miles Todd can ride in h hours​

Answers

Divide 45 by 5 and 5 hours by 5 so it’s 9 miles per hour. So the equation would be: m = 9/h (a fraction)

which numbers are between 3 1/3 and 8 7/10

Answers

there are numbers 2 and 9

help me asap please help me help thank you

Answers

Answer:

H

Step-by-step explanation:

Area of a square is given as 16 unit²

Since formula of square is

A=l²

16=l²

l=√16

=4

Find sin 0
15
A.
B.
c. 15
D.

Answers

The answer is D, good luck ;)

Read the details Stefan has gathered about solar eclipses. Based on the information Stefan has gathered, which essential question did he ask? When does it occur? A solar eclipse occurs as a result of the moon lining up perfectly between the Earth and the Sun, blocking the Sun from Earth. O What is it? O Where is it located? Why does it happen
HURRY WORTH 30 POINTS​

Answers

Answer:

c

Step-by-step explanation:

Where is it located?

Answer:

D

Step-by-step explanation:

I need the answer real fast PLZ​

Answers

Answer:

54%

Step-by-step explanation:

I did the test.

A sum of $104 is divided among three friends Adam, Charlie and Max in the ratio
3:4:6. How much more money does Max have than Adam?

Answers

Answer:

$ 24

Step-by-step explanation:

Ratio = 3 : 4 : 6

Amount with Adam = 3x

Amount with Charlie = 4x

Amount with Max = 6x

Total amount = $104

3x + 4 x + 6x = 104

            13x = 104

               x = 104/13

x = 8

Amount with Max =  6x = 6*8 = $ 48

Amount with Adam = 3x = 3 *8 = $ 24

Amount that is more with Max than Adam = 48 - 24 = $ 24

Question:-

A sum of $104 is divided among three friends Adam, Charlie and Max in the ratio 3 : 4 : 6. How much more money does Max have than Adam ?

Solution:-

Ratio = 3 : 4 : 6 (Given)

[tex] \bullet [/tex] Let the sum of Adam be 3x

[tex] \bullet [/tex] Let the sum of Charlie be 4x

[tex] \bullet [/tex] Let the sum of Max be 6x

[tex] \therefore [/tex] Total sum = $104 (Given)

So,

ATQ ,

3x + 4x + 6x = 104

13x = 104

x = [tex] \bf \frac{104}{13} [/tex]

x = 8

Now, total sum of Adam = 3x = 3 × 8 = $24

Total sum of Max = 6x = 6 × 8 = $48

Required money Max have more than Adam = (48 - 24) = $24

$24 money does Max have more than Adam. [Answer]


Find the volume of a cone that has radius = 2 1/2 and height = 5.
98.1
26.2.
32.7
65.4

Answers

Answer:

98.1 is your anwser I know this kinds of stuff

Step-by-step explanation:

v=22/7×r^2×h/3

=22/7×21/2×5/3

=33/5

=11cm^3

Yumiko Yoshida wants to pay his $1,058.90 annual premium monthly. What is his monthly payment?

Answers

1058.90 divided by 12
answer is $88.2

The Diagram below shows rectangle PLUM find the area of PLUM if entering answer as a decimal, round your final answer to the nearest hundredth. Please Help!

Answers

Answer:

75 Units

Step-by-step explanation:

i got this on khan :)

PLS AWNSER ILL GIVE BRAILIEST

Answers

Answer:

B

Step-by-step explanation:

Answer:

Its A ,

Step-by-step explanation: Done maht

(-2,,-4) and -11,-7) the slope is what

Answers

Answer:

I arrived at 1.5 following the formula

Review graph I and graph II.

On a coordinate plane, a parabola labeled Graph 2 opens down. It goes through (negative 2, 0), has a vertex at (negative 2, 7), goes through open circle (negative 4, 5), and goes through (negative 6, 0).

On a coordinate plane, a parabola labeled Graph 1 opens down. It goes through (negative 2, 0), has a vertex at (negative 2, 7), goes through open circle (negative 4, 5), and goes through (negative 6, 0). An open circle is at (negative 4, 8).

Which statement compares the limit as x approaches –4 for the two graphs?

In both graph I and graph II, the limit is 5.
In both graph I and graph II, the limit does not exist.
In graph I, the limit does not exist, but in graph II, the limit is 5.
In graph I, the limit is 8, but in graph II, the limit does not exist.

Answers

Answer:

A - in both graph I and graph II, the limit is 5

Step-by-step explanation:

:)

Answer:

A - in both graph I and graph II, the limit is 5

Step-by-step explanation:

the guy above me lol

How many odd numbers are in 10 to 50?

Answers

Answer:

20

Step-by-step explanation:

11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49

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