During math class last week, Terrence was asked to determine if the equation shown has no solution, one solution, or infinitely many solutions 101 - 6+ 2. = 4(3x - 1) - 2 Terrence concluded that the equation has infinitely many solutions Determine if Terrence's conclusion is correct that the equation has infinitely many solutions Show each step of your work and justity your thinking Enter your answer work, and justification in the box provided

HELP PLEASE!!

Answers

Answer 1

The equation can have no solution or as many solutions as possible

Terrence's conclusion that the equation has infinitely many solutions is false

How to determine the number of solutions?

The equation is given as:

101 - 6+ 2 = 4(3x - 1) - 2

Open the bracket

101 - 6+ 2 = 12x - 4 - 2

Collect the like terms

12x = 101 - 6+ 2 + 4 + 2

Evaluate the like terms

12x = 103

Divide both sides by 12

x =103/12

The above shows that the equation has one solution

Hence, Terrence's conclusion that the equation has infinitely many solutions is false

Read more about equation solutions at:

https://brainly.com/question/7784687


Related Questions

Simplify 5.5.5.5
I’m very confused

Answers

Answer:

25

The dot means multiplication. 5.5.5 is 125. 125/5 is 25.

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

The . or point means multiply :

5.5.5 / 5

= 125 / 5

= 25

25 is your answer. I think this helps !!!!!

Thank you ☺️☺️

Which relationships describe angles 1 and 2?

Select each correct answer.


supplementary angles

vertical angles

adjacent angles

complementary angles

Answers

Answer: Adjacent angles

Step-by-step explanation:

The angles share a common side.

Can someone help me with this problem
I don't understand.

Answers

E) distributive property

Because you are distributing the 3 to 2/5x and 7/5y

Ibenhal thinks of a number. If she adds 19 to it and divides the sum by 5, she will get 8.

Answers

Answer:

Equation: [tex]\frac{x + 19}{5} = 8[/tex]  Solved: x = 21

Step-by-step explanation:

Let x be the number

Write an equation to match the description: [tex]\frac{x + 19}{5} = 8[/tex]  Multiply each side by 5 to cancel out the 5 under x + 19. It should now look like this: x + 19 = 40Subtract 19 from each side, so it now looks like this: x = 21

I hope this helps!

Ibenhal is thinking of the number 21

21+19 = 40
40/5 = 8

Put the following equation of a line into slope-intercept form, simplifying all
fractions
2x + 4y = 16

Answers

Answer:

[tex]4y = 16-2x\\y = \frac{16}{4} - \frac{2x}{4}\\ y = \frac{-1x}{2}+4\\y = 0.5x+4[/tex]

Given parameters:

  Equation of the straight line;

                    2x + 4y = 16

The slope intercept form of the equation is y = mx + c

Where m is the slope of the line

            y and x are the coordinates

             c is the intercept

So, the problem is to write the given equation in form of y = mx + c;

 

         2x + 4y = 16

                 4y = 16 - 2x

  Divide through by 2;

                 [tex]\frac{4y}{2}[/tex]   = [tex]\frac{16}{2}[/tex] - [tex]\frac{2x}{2}[/tex]

                  2y = 8 - x

                    2y = -x + 8

 Then divide by 2 all through;

                    [tex]\frac{2y}{2}[/tex] = [tex]\frac{-x}{2} + \frac{8}{2}[/tex]

                   y = [tex]\frac{-x}{2} + 4[/tex]

The equation of the line is y = [tex]\frac{-x}{2} + 4[/tex]

f(x) = -4(x − 8)2 + 3 axis of symmetry

Answers

The vertex of a parabola is at (p, q). As for the axis of symmetry, the p value is 8, and in this function the q value is 3. So the vertex is at (8,3).

Solve each system by substitution:

3x-6y = 2

4x+3y = -1

Answers

from the first equality we have

3x - 6y = 2

3x = 2 + 6y

x = 2/3 + 2y

we replace x by this value in the second equality

4 * (2/3 + 2y) + 3y = -1

8/3 + 2y + 3y = - 1

5y = - 3/3 - 8/3

5y = - 11/3

y = -11/15

and we can get x now :

and x = 2/3 + 2*(-11/15)

x = 2/3 - 22/15

x = 10/15 - 22/15

x = - 12/15

check

3 * (-12/15) - 6 * (-11/15) = -36/15 + 66/15 = 2

find the surface area no links no pdfs just type it into the answer section will give brainliest

Answers

Check the picture below.

let's firstly convert the mixed fractions to improper fractions.

[tex]\stackrel{mixed}{7\frac{1}{2}}\implies \cfrac{7\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{15}{2}} ~\hfill \stackrel{mixed}{12\frac{1}{2}}\implies \cfrac{12\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{25}{2}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{two~triangles}{2\left[ \cfrac{1}{2}\left(\cfrac{15}{2} \right)(10) \right]}~~ + ~~\stackrel{\textit{three rectangles}}{(10)(15)~~ + ~~\left( \cfrac{15}{2} \right)(15)~~ + ~~\left( \cfrac{25}{2} \right)(15)}} \\\\\\ 75~~ + ~~150~~ + ~~112.5~~ + ~~187.5\implies \boxed{525}[/tex]

A genius society requires an IQ that is in the top 2% of the population in order to join. If an IQ test has a mean of 100 and a standard deviation of 15, which of the following could be used as the minimum qualifying score to join the genius society? 115 130 145 160.

Answers

The minimum qualifying score to join the genius society is 130, the correct option is B.

What is the minimum qualifying score?

In the top 2%, you have to have an IQ higher than 98% of the population (100% - 2%). This is also known as the 98th percentile.

Given

A genius society requires an IQ that is in the top 2% of the population in order to join.

If an IQ test has a mean of 100 and a standard deviation of 15.

For this problem, you are given the probability and need to determine the raw score.

For the probability, go to the z–table and find the probability that is closest to 0.98. Then look across the row and up the column to determine the z-score.

The closest probability is 0.97982 and that corresponds to a z-score of 2.05.

With a z-score of 2.05, you can use the z formula to compute the raw score.

[tex]\rm z-score=\dfrac{X- mean }{Standard \ deviation}\\\\2.05=\dfrac{x-100}{15}\\\\2.05 \times 15 = x-100\\\\30 +x-100\\\\x=100+30\\\\x = 130[/tex]

Hence, the minimum qualifying score to join the genius society is 130.

To know more about z-score click the link is given below.

https://brainly.com/question/13299273

4x – 3x + 2 = 4(3x – 5)

Answers

Answer:

4x-3x+2=4(3x-5)

1x+2=12x-20

22=11x

2=x

Step-by-step explanation:

please pass this on... ( #helpsavelives )

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful no matter ur shape, size, color, gender.. anything

don't give up i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Answer:

x=2

Step-by-step explanation:

4x-3x+2=12x-20

x+2=12x-20

2=11x-20

22=11x

x=2

Which graph represents the function f(x) = –|x| – 2?

Answers

it should be flipped over the x-axis and translated to the right by 2

can someone please help me?? (in 10 minutes tops)
A pair of parallel lines is cut by a transversal:

A pair of parallel lines cut by a transversal is shown. The inside bottom right angle is labeled 85 degrees. The alternate interior angle is cut by a ray and is labeled as x on one side and 25 degrees on the other.

What is the measure of angle x?

a. 50 degrees
b. 55 degrees
c. 60 degrees
d. 80 degrees

(sorry, the picture didn't load with it :(

Answers

Answer:

I'm sorry I couldn't answer in time but I believe it to be 60.. I might be wrong though.

can you please help me figure this problem out

Answers

Answer:

A. 3 3/4 hours = 3.75 hours

I hope this helps, please rate!

Mm inc. recently reported $15,000 of sales, $7,500 of operating costs other than depreciation, and $1,200 of
depreciation. the company had no amortization charges, it had outstanding $6,500 of bonds that carry a 6.25% interest
rate, and its federal-plus-state income tax rate was 25%. how much was the firm's net income after taxes?

Answers

Answer:

9456.25?

Step-by-step explanation:

25% in taxes would be 3750+the depreciation and operating costs equals 12450. income was 15000, and they had an outstanding bond worth 6500 with 6.25% interest added onto it, so you get like 21906.25. then i just subtracted it. not sure if it is right, i took accounting 101 like a year or 2 ago, lol

In a standard Normal distribution, what percentage of observations lie above z = 1.65?

Answers

Answer:

The percent is 4.9471%

Step-by-step explanation:

Here, we want to find the percentage of observations that lie above z = 1.65

Firstly we find the probability of x < z = 1.65

Hence P ( x > 1.65)

This is obtainable from the standard normal distribution table

The value of P(x > 1.65) = 0.049471

This represents a percentage of 4.9471%

Answer:

4.95/4.9471 is correct

ED2021

GEOMETRY HELP ASAP PLEASE!!!

Answers

Answer:

x = 120

z = 21

Step-by-step explanation:

x and 60 are supplementary, so added together they make 180.

x + 60 = 180

subtract 60 from both sides

x = 180 - 60

x = 120

next, x and 4z+36 are equal, so you can make this equation:

x = 4z + 36

substitute x for 120 as established earlier.

120 = 4z + 36

subtract 36 from both sides

120 - 36 = 4z

84 = 4z

divide both sides by 4

84/4 = z

21 = z

legit only or u get banned

Answers

Angles 1 is also 105°

Jacob noticed that on a ruler, 7 inches is equal to 17.78 centimeters. The diagonal of his big screen TV measures 65 inches. Which proportion could Luis use to find x, the length of the diagonal of the computer screen in centimeters? 7.4E

Answers

Answer:

x/65= 7/17.78

Step-by-step explanation:

B or witch  ever one looks like that

solve for brainliest :)​

Answers

Hey there!


Problem A.
((-10)^3 * 6)^3

= ((-10)(-10)(-10) * 6)^3

= (100(-10) * 6)^3

= (-1,000 * 6)^3

= (-6,000)^3

= (-6,000)(-6,000)(-6,000)

= 36,000,000(-6,000)

= 216,000,000,000

Thus, your answer is: 216,000,000,000


Problem B.
(3^2/5)^3

= (3 * 3 / 5)^3

= (9/5)^3

= 9/5(9/5)(9/5)

= 9 * 9 * 9 / 5 * 5 * 5

= 81 * 9 / 25 * 5

= 729 / 125

≈ =5 104 / 125

≈ 5.832


Thus, your answer is:

5.832 , 5 104/125, or 729 / 125

EITHER OF THOSE SHOULD BE CORRECT BECAUSE THEY ARE EQUIVALENT TO EACH EACH OTHER!


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)


What is the positive solution to the equation 0 = –x2 2x 1? quadratic formula: x = startfraction negative b plus or minus startroot b squared minus 4 a c endroot over 2 a endfraction –2 startroot 2 endroot 2 – startroot 2 endroot 1 startroot 2 endroot –1 startroot 2 endroot

Answers

The positive solution to the equation [tex]-x^{2} +2x+1=0[/tex] is [tex]x=1+\sqrt{2}[/tex].

Given quadratic equation is:

[tex]-x^{2} +2x+1=0[/tex]

What is the general form of a quadratic equation?

The general form of a quadratic equation is [tex]ax^{2} +bx+c=0[/tex] and [tex]a\neq 0[/tex].

On comparing with general form of quadratic equation

a = -1

b = 2

c = 1

So, from the Shreedharacharya formula,

[tex]x = \frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex]

[tex]x = \frac{-2+-\sqrt{2^{2} -4(-1)(1)} }{2*(-1)}[/tex]

[tex]x = 1-\sqrt{2} \\x=1+\sqrt{2}[/tex]

as [tex]x = 1-\sqrt{2}[/tex] is negative

So, the positive solution is [tex]x=1+\sqrt{2}[/tex]

Therefore, the positive solution to the equation [tex]-x^{2} +2x+1=0[/tex] is [tex]x=1+\sqrt{2}[/tex].

To get more about quadratic equations visit:

https://brainly.com/question/1214333

Answer:  x = 2 + √2. x = 2 - √2 ·

Step-by-step explanation:

- x² + 2x + 1 = 0. x² - 2x - 1 = 0. Here,. a = 1. b = - 2. c = - 1

what is the area of the rectangle shown on the coordinate plane?​

Answers

Answer:

16 square units

Step-by-step explanation:

Hopefully this helps :)

Which expression is equivalent to the following complex fraction? 2 minus startfraction 1 over y endfraction divided by 3 startfraction 1 over y endfraction startfraction 3 y 1 over 2 y minus 1 endfraction startfraction (2 y minus 1) (3 y 1) over y squared endfraction startfraction y squared over (2 y minus 1) (3 y 1) endfraction startfraction 2 y minus 1 over 3 y 1 endfraction

Answers

The expression which is equal to the given complex fraction will be

(2-(1/y)/3+(1/y)=(2y-1)/(3y+1)

 

What is a complex fraction?

The complex fraction will be defined as the expression containing the fractions in their numerator and denominator or at least one of them like either numerator or denominator containing fraction in it.

now we have to find the solution to the given expression:

[tex]=\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex]

[tex]=\dfrac{\dfrac{2y-1}{y} }{\dfrac{3y+1}{y} }[/tex]

[tex]=\dfrac{2y-1}{3y+1}[/tex]

Hence the expression which is equal to the given complex fraction will be

[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} }= \dfrac{2y-1}{3y+1}[/tex]

To know more about complex fractions follow

https://brainly.com/question/13006290

Answer:

D

Step-by-step explanation:

edge 2022

can you explain how to order rational numbers ​

Answers

Answer:

We do this by first converting all terms into fractions, finding the least common denominator (LCD), then rewriting each term as an equivalent fraction with the LCD. Then we compare the numerators of each fraction and put them in correct order from least to greatest or greatest to least.

Step-by-step explanation:

hope this helps!

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 18 inches, and the length of the base is 17 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.

Answers

Answer: 66.5 inches

Step-by-step explanation:

Write an equation for the table in the slope intercept form.

Answers

Answer:

C. y=1.6x-5

Explanation:

-5-(-8.2)= 1.6

1.6=m

-8.2=1.6(-2)=b

1.6(-2)=-3.2

-8.2-(-3.2)=-5

-5=b

hope this helps =3

please help i will see if i can mark brainliset

Answers

problem number one is all real numbers, so it has an infinite number of answers

problem number two is also all real numbers, so it has an infinite number of answers

Bridget was thinking of a number. Bridget halves it and gets an answer of 31.3. What was the original number?​

Answers

Answer:

62.6

Step-by-step explanation:

if 32.3 is a half of a number then multiply it by 2.

32.3 x 2 = 62.6

Pls help me on this problem I’m confused

Answers

Answer:

if we have 3, 2 pound bricks we have 6 pounds

1 pound = 16 ounces

16 × 6 = 96 ounces

96 ÷ 4 = 24

only 24 people got bricks so he needs to give 4 people more

4 ounces each for 4 people is 16 ounces

answer: 16 ounces

POLYNOMIALS MULTIPLICATION 2

(3x-1) (x^2-4x+5)

What is the product of the polynomials in standard form?

Answers

it’s on the bottom ~~~

Explain, please, and answering

Answers

Answer:

86 degrees

Step-by-step explanation:

Alrighty, a simple 180-degree triangle, we can see that the two angles add up to 86, so what would make our angle G1 94 since 180-86 = 94, but we are tasked with finding the other side of that angle, let's call it G2, what should we do?

Since this is a flat 180-degree line, we do it again!

180-94 = 86 degrees

And there ya have it

Though, if you need the technical side, it's because a whole of a triangle is 180 degrees

Given that angles F is 58 and E is 28, we add those two up to find angle EGF. How to find EGF you ask? Simple- 180 degrees (Because it's a triangle) minus 86 (Added angles of E and F), that would equal 94.

Now, we are tasked with finding TGF. We do not have TGF but we have EGF. Learning that, we see the line ET, indicating that we have found ourselves a 180-degree line. What do we do with this line? We use it to calculate TGF with EGF

Since EGF is 94, we take the 180 - 94 to equal 86, and that is how you find TGF

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