Which of the following equations has exactly one solution?

Which Of The Following Equations Has Exactly One Solution?

Answers

Answer 1

Answer:

A and B

Step-by-step explanation:

simplify both sides of the equation

add 4x to both sides subtract 3 from both sides. Divide both sides by 9 and that's it

Answer 2

If the equation given a unique and single value of variable after solving then the equation is said one solution equation.

The equation which has only one solution are,

[tex]5x+3=-2(2x+3)[/tex]

Thus, the option C is the correct option.

How to find one solution of equation?

If the equation given a unique and single value of variable after solving then the equation is said one solution equation.

Such equation gives exactly one solution.

Given information-

To find the equation we have to solve each equation one by one.

A)The equation given in the problem is,

[tex]-7x+2&=-3(x-3)-4x-7\\[/tex]

Solve it further,

[tex]-7x+2&=-3x+9-4x-7\\-7x+2&=-7x+2\\.\;\;\;\;\;\;\;\;\;\;\;0=0[/tex]

Thus this equation has no solution. Hence the option A is the incorrect option.

B)The equation given in the problem is,

[tex]14x&=7(2x+2)[/tex]

Solve it further,

[tex]14x&=14x+14\\.\;\;\;0=14[/tex]

Thus this equation has no solution. Hence the option B is the incorrect option.

C)The equation given in the problem is,

[tex]5x+3=-2(2x+3)[/tex]

Solve it further,

[tex]5x+3=-(4x+6)\\5x+3=-4x-6[/tex]

Bring the same variable terms one side.

[tex]5x+4x=-6-3\\9x=-9\\x=-1[/tex]

As the expression of equation gives the value of variable which is -1.Thus this equation has one solution.

Hence the option C is the correct option.

D)The equation given in the problem is,

[tex]3(4x+2)-9=12x-3[/tex]

Solve it further,

[tex]12x+6-9=12x-3\\2x-3=12x-3\\.\;\;\;\;\;\;\;0=0[/tex]

Thus, this equation does not has one solution.

Hence the option D is the incorrect option.

Hence the equation which has only one solution are,

[tex]5x+3=-2(2x+3)[/tex]

Thus, the option C is the correct option.

Learn more about the solution of equation here;

https://brainly.com/question/21283540


Related Questions

Evaluate the power: (−3)^4
A. 81
B. -81
C. 243
D. -331

Answers

Answer:

The answer is 81.

Step-by-step explanation:

Since the power of 4 is even, the result will be positive.

[tex] {3}^{4} [/tex]

Simplify.

[tex]81[/tex]

hence, the answer is Option A) 81.

The power would be= A.) 81

The circumference of a circle is 46.472 millimeters. What is the circle's radius?

Answers

Answer:

r≈7.4

Step-by-step explanation:

C=2πr

Solving forr

r=C

2π=46.47

2·π≈7.39625

Hope this helps! Happy friday!

Which of the following describes theoretical probability?

Answers

Hi for the answer is there any backstory or answer key at least?

Answer:

Roll of a Die

Step-by-step explanation:

find the slope of the lines graphed below​

Answers

Answer:

use formula

slope m =(y2-y1)/(x2-x1)

Step-by-step explanation:

for first one

(x1,y1)=(2,1)

(x2,y2)=(0,-3)

now

slope m =(y2-y1)/(x2-x1)=(-3-1)/(0-2)=-4/-2=2

try other thank you hope it helps

Joe drove for 5 hours and traveled a distance of 240 miles . Which is best estimate of the number of miles Joe will travel in 7.2 hours.

a. 400
b. 375
c. 350
d. 325

Answers

Answer:

c,because he drove 48 miles per hour multiply that by 7.2 get you 345.6 rounded to 350.

Step-by-step explanation:

what are the values of a, b, and c in the quadratic equation -2x² + 4x - 3 =0?

Answers

Answer:

x=1

Step-by-step explanation:

I believe that's the answer sorry if I'm wrong

Helppp please i need help!!! I was having trouble

Answers

ANSWER - 65.97


V=πr2h
3=π·32·7
3≈65.97345

Add fractions with unlike denominators

Answers

Answer:

29/12

Step-by-step explanation:

[tex]\frac{7}{4} +\frac{2}{3}[/tex]

7 * 3 / 4 *3 = 21/12

2 * 4 / 3 * 4 = 8/12

[tex]\frac{21}{12} +\frac{8}{12}= \frac{29}{12}[/tex]

Hope this helps!

Answer:

29/12 or 2 and 5/2 as a mixed number

Step-by-step explanation:

The New Horizons satellite is currently travelling at a speed of 35,000 mph (miles per hour). How many miles
can it travel in one day?

Answers

840,000 miles.

You multiply 35,000 and 24 since it's 24 hrs in a day and it gives you 840,000!

Find the equation of the line pls help

Answers

Step-by-step explanation:

A(0,3) B(2,2)

[tex] \frac{y - 2}{4 - 2} = \frac{x - 2}{0 - 2} \\ \frac{y - 2}{2} = \frac{x - 2}{ - 2} \\ y - 2 = - x + 2 \\ y = - x + 4[/tex]

Midory had 0.0085 pounds of chocolate. What is this equation written in scientific notation?

Answers

Answer in scientific notation: 8.3x10^-3

The triangular pyramid has identical equilateral triangles as its faces. Find the surface area of the pyramid. ​

Answers

Answer: B: 140.4

Step-by-step explanation:

Steve flipped a coin 10 times and recorded his results in this chart.

Part A: What is the THEORETICAL probability of the coin landing heads up?

Answers

Answer:

Step-by-step explanation:

actual over theoretical times 100 equals ur percentage

Most likely the answer would be 3/5.

I need help please help me

Answers

Answer:

1: 11/14 2: 1 5/12 3: 1 1/20 4: 7/10 5: 3/4 6: 1 2/9 7: 1 8: 1/8 9: 3/5 10: 23/24

HELP ASAP!!!!!!!!! what is the measure of angle x?

Answers

Step-by-step explanation:

x + 149° = 180° {Being linear pair }

x = 180° - 149°

x = 31°

Hope it will help :)❤

Answer:

180-149 = 31

that's right

How does the graph of the function g(x) = 2^x- 3 differ from the graph of f(x) = 2^x?
A. It is moved up 3 unit.
B. It is moved down 3 unit.
c. It is moved right 3 unit
D. It is moved left 3 unit.

Answers

It is move right 3 unit
C is answer

I saw 8 sunflowers, 7 roses, and 2 lavender when I was walking outside.I collected them and decided to arrange them. How many different arrangements can I create?

Answers

Answer:

8 with a remander of 1

Step-by-step explanation:

To complete the square for x2 + 8x = -7
you will need to add what number to both sides?
A. -4
B. 12
C. 64
D. 16

Answers

To complete the square, you would add to both sides (8/2)^2 = (4)^2 = 16. So, the correct answer would be D.

Find the coordinate of the points of intersection of the graphs without building them: 20x - 15y = 100 and 3x - 5 =6y

Answers

Answer:

(-4.666667, -3.16667)

Step-by-step explanation:

(-4 2/3, -3 1/6)

9514 1404 393

Answer:

  (x, y) = (7, 2 2/3)

Step-by-step explanation:

We can multiply the first equation by 2/5 to get ...

  8x -6y = 40

The second equation gives an expression for 6y that we can substitute.

  8x -(3x -5) = 40

  5x +5 = 40 . . . . . eliminate parentheses

  x +1 = 8 . . . . . . . .divide by 5

  x = 7 . . . . . . . . . .subtract 1

Using the second equation, we find ...

  3(7) -5 = 6y

  y = 16/6 = 2 2/3

The coordinates of the point of intersection are (x, y) = (7, 2 2/3).

Dana takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the piece of paper is 8 inches long and 5 inches wide, how long is the diagonal cut that Dana made? If necessary, round to the nearest tenth.

Answers

Answer:

9.4 inches

Step-by-step explanation:

The triangle formed is  aright angled triangle with the right angle between the  length and width of the paper cut hence the diagonal represents the hypotenuse side.

Recall that Pythagoras theorem states that

a^2 + b^2 = c^2 where c is the hypotenuse side and a, b are the opposite and adjacent sides

Hence

8^2 + 5^2 = c^2

c^2 = 64 + 25

= 89

Finding the roots of both sides

c = 9.433981132

To the nearest tenth

c = 9.4 inches

Chase has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.13 times as
many villagers. The game gave Chase 4 villagers to start with. Help Chase expand his empire by solving for how many villagers he can create
with 17 towns. Then explain to Chase how to create an equation to predict the number of villagers for any number of towns. Show your work
and use complete sentences. (10 points)

Answers

Answer:

about 23 villagers

Step-by-step explanation:

17 x 1.13 =19.21 + 4 =23.21

chase would have to use the equation

(n x 1.13)+4

with n being the number of towns

what is this value? giving thanks and marking brainliest :)

Answers

Answer:

x = 23 degress

Step-by-step explanation:

(x + 2) + 65 = 90

x + 2 = 25

x = 23 degress

The doctor wrote a prescription for 3,110 milliliters of medicine. How many liters of medicine did she prescribe? (1 liter = 1,000 milliliters)

Answers

Answer:

3.11 liters

Step-by-step explanation:

converting mL to L requires dividing by 1000, or moving the decimal point 3 places to the left

I need help on this plz and thank you

Answers

Answer:

c.

Step-by-step explanation:

because probability is normally in fraction or decimal

The retail price is 81% more than the original price. Hence, retail price = percent of original price

Answers

Answer: retail price x 1.81

Step-by-step explanation:

Price 100

Mark up is 81 percen

100 plus .81 equal 181

Simplify the expression. Write your answer as a power.
6^7•6^10 divided by 6^4•6^3

Answers

Answer:

[tex] {6}^{10} [/tex]

Step-by-step explanation:

[tex] \frac{6^7•6^{10}}{6^4•6^3} \\ \\ = \frac{6^7•6^{10}}{ {6}^{4 + 3} } \\ \\ = \frac{ \cancel{6^7}•6^{10}}{ \cancel{6^7}} \\ \\ = {6}^{10} [/tex]

in shop a crunchy peanut butter costs $325 for 250g

in shop b crunchy peanut butter costs $408 for 340g

which shop gives better value for money. explain your answer

Answers

Answer:

shop b

Step-by-step explanation:

We can find for example how much 100 grams of peanut butter cost in each shop using a proportion

shop A 100 : 250 = x : 325

x = (325 * 100) / 250 = $130

shop B  100 : 340 = x : 408

x = (408 * 100)/ 340 = $120

We discovered that shop B is cheaper

Osvoldo has a goal of getting at least 30, percent of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of carbohydrates, and 55 grams were from whole grains.

Answers

Answer:

No

He ate only 25% from whole grains

He ate 5% less grams from his goal

Step-by-step explanation:

Osvoldo has a goal of getting at least 30, percent of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of carbohydrates, and 55 grams were from whole grains.

Did Osvoldo meet his goal? Why? , Osvoldo ate grams of whole grains than his goal.

Percent of whole grains ate = grams of whole grain / total carbohydrates) x 100

(55/220) x 100 = 25%

This is less than his goal of 30% by (30% - 25%) 5%

Answer:

No, Osvoldo 11 grams of whole grains less than his goal.

Step-by-step explanation:

30% x 220

30% = 30/100 = 30 ÷ 100

30 ÷ 100 = 0.3

0.3 x 220 = 66

66 - 51 = 11

8y =120 find the solution to the equation

Answers

Answer:

15

Step-by-step explanation:

Answer:

y=15

Step-by-step explanation:

8y=120/8

y=15

A large tank holds 5 x 10^7 gallons of oil. How much oil can be stored in 27 tanks?
Write your answer in scientific notation.

Answers

Answer:

i dunno do the math

Step-by-step explanation:

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