Mathematics High School

- Which of the following is a possible solution for x in the equation 1
+ 1 = 3
X + 1
X-1 4

- Which Of The Following Is A Possible Solution For X In The Equation 1+ 1 = 3X + 1X-1 4

Answers

Answer 1

Ans : b. 3

1/3+1   + 1/3-1  =  3/4

1/4 + 1/2 = 3/4

1/4 + 2/4 = 3/4

Answer 2

The possible solutions are 3 and -1/3.

Option B is the correct answer.

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

1/(x + 1) + 1/(x - 1) = 3/4

Solve for x.

(x - 1 + x + 1)/(x + 1)(x - 1) = 3/4

Simplifying

2x / (x + 1)(x - 1) = 3/4

Multiplying the denominator

2x / (x² - x + x - 1) = 3/4

Cross multiplication

2x / (x² - 1) = 3/4

8x = 3x² - 3

3x² - 8x - 3 = 0

Middle-term factorization.

3x² - (9 - 1)x - 3 = 0

3x² - 9x + x - 3 = 0

3x (x - 3) + 1 (x - 3) = 0

(x - 3) (3x + 1) = 0

x - 3 = 0 and 3x + 1 = 0

x = 3 and x = -1/3

Thus,

3 and -1/3 are the possible solutions.

Learn more about solutions of equations here:

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Related Questions

help 6x+6y=-6
x=-5y-13

Answers

Answer:

what do you need help on?

Step-by-step explanation:

NEED HELP ON TBIS PLEASEE

Answers

a² + b² = c²

c² - b² = a²

10² - 8² = 36²

Square root of 36 = 6 inches

Answer:

6 in

Step-by-step explanation:

hypotenuse (h) = 10 in

base (b) = 8 in

perpendicular (p) = ?

we know that by using Pythagoras theorem

p = √h² - b²

= √10² - 8²

= √ 36

= 6

In 1992 a gigabyte cost $3000. In 2012 the gigabyte price decreased by 97%. What was the cost of a gigabyte in 2012

Answers

The cost of a gigabyte in 2012 was $80 hope this helps

Plss help asap!!!!!!

Answers

Answer:

1130.97 (last option)

Step-by-step explanation:

Basically its the circumference times 12. Circumference of the circle is 2 * 15 * pi which is 30 pi. 30pi * 12 is 360pi which is around 1130.97 or the last option

Use the GCF to factor the expression 40x+24y-56.

Answers

Answer: 8

Step-by-step explanation:

Find M<1, 32 degrees and 120 degrees

Answers

Answer: 88

Step-by-step explanation:

Help I will give brainlist and 30 points

Answers

Answer: the 3rd one is the only true one because there are 7 boys and 2 girls

The answer is the third one. The ratio is 7:2, so there’s 7 boys for every 2 girls.

Match each percent amount to its correct value.

Answers

Answer:

13 = 30% of 45

4.5 = 15% of 30

4.6 =  23% of 20

4.2 = 60% of 7

Nancy had 6 feet of ribbon she will use to make gift wrapping bows. She needs 1/3 of a foot to make a gift wrapping bow. How many gift wrapping bows can Nancy make? 9 bows 12 bows 18 bows 24 bows

Answers

Answer: WHATS THE ANSWER???!?!

Step-by-step explanation:

Answer:

thanks for the free points. btw it is 18

Step-by-step explanation:

Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes,and 20 pages in 30 minutes. Is this a proportional relationship? If so, what is the constant of proportionality? What does it represent? Write an equation to represent this situation.

Answers

Answer:

y = 2/3x

Step-by-step explanation:

Reading rate is y pages per x minutes and proportional relationship formula is:

y = kx

The coefficient is:

k = y/x

Let's verify if the given numbers fit into the same relationship:

12/18 = 2/38/12 = 2/320/30 = 2/3

We confirm all same and it means k = 2/3

Required equation is:

y = 2/3x

This represents that Michael reads 2 pages per 3 minutes and for x minutes he reads 2/3x pages

Maggie ran 9 miles at x minutes per mile.She also walked for 20 minutes.If she exercised for a total of 125 minutes,write an equation that can be used to determine how long it took her to run one mile

Answers

Answer:

x = (total exercise time - walking time) / number of miles run

Step-by-step explanation:

Let the time it took Maggie to run a mile = x ( already given)

x = distance ran / running speed

Total time the whole exercise took = 125 minutes.Total time spent walking = 25 minutes

Total time it took her to run 9 miles can be obtained by subtracting the time she spent walking from the total exercise time.

125 - 25 = 100 minutes.

Therefore, it took Maggie 100 minutes to run  9 miles

We can set up a linear relationship as shown:

9 miles took 100 minutes

1 mile will take x minutes

x = 100 / 9 minutes.

However, the question asked us to write an equation to show this process.

We simply recap the processes in a mathematical form:

x = (total exercise time - walking time) / number of miles run

is anyone able to help me with this?

Answers

I am able to help you but not give you the answer.

Step By Step Explanation- Find the Area to the Triangle, After you find the answer to that, Find the area to the square then subtract the Square by the triangle and you get your answer!

Answer:

Step-by-step explanation:

Use the area formulas to help.

Area of a triangle = 1/2bh

Area of a rectangle = lw

Area of the triangle:

6*5 =30 yds

30*0.5= 15 yds

Area of the rectangle:

7*12=84 yds

Area of the shaded region:

84-15=69 yds

If you spin the spinner 75 times how many 2s would you get?

Answers

Answer:

If the numbers went from 1-5 then maybe 15 at least I think or more. I don't know it is a prediction.

Step-by-step explanation:

The measure of angle t is 60 degrees. What is the x-coordinate of the point where the terminal side intersects the unit circle? ​

Answers

angle t would be equal to cos(60 degrees) which has coordinates (1/2,sqrt3/2) so that answer is 1/2

Can I get some help here please?

Answers

Answer:

The answer is C.

Step-by-step explanation:

As you can see, the line clearly intercepts at the line 0,4.

I really hope this helps!!! Please mark me brainliest!

WILL GIVE BRAINLIEST please help

Answers

Answer:

First bullet point

Step-by-step explanation:

Answer: The first option (A)

Step-by-step explanation:

i did the math just plug in the numbers for x.

hope this helps pls mark me brainliest

i needd helppp asap

Answers

Answer:

70, 110, 110, 70

Step-by-step explanation:

top left- 70, top right-110, bottom left-110, bottom right-70

The given point 1, -3 reflected over the x axis

Answers

Answer:

(1,3)

Step-by-step explanation:

The image of (1, -3) is (1, 3).

What is a reflection?

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

Point = (1. -3)

Reflected over the x-axis.

So,

(1, -3) = (1, -(-3)) = (1, 3)

Thus,

(1, 3) is the reflected image.

Learn more about reflections here:

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Use the FOIL method to check your answer from part A.

Answers

First = x^2

Inner = -5x

Outer = +8x

Last = -40

It is correct!

3) what is the factored form of 36x-24?*
O A. 2(18x-12)
O B.4(9x-6)
C. 12(3x-2)
O D. 24(12x-1)

Answers

Answer:

C is the answer.

Find (g o f)(-3). *

f(x) = 5x – 4
g(x) = x^2 – 1

O A. 36
O B.-9
O c. 1
O D.-54

Answers

Answer:

(g o f)(-3)  = 360  Maybe answer A is a typo

Step-by-step explanation:

(g o f)(-3)  = g(f(-3))

f(-3) = 5(-3) - 4

      = -15 - 4

      = -19

Now find g(-19) = [tex](-19)^{2}[/tex] - 1

                         = 361 - 1

                         = 360

Let b= 7.
3b+-4


Please help

Answers

3b+-4
3(7)+-4
21+-4
=17
Hope this helps have a nice day! ;$

Answer:

b=40/63

Step-by-step explanation:

b= 7. 3b+-4

multiply both sides by 10

b*10=7.3b*10-4*10

refine

b*10=7.3b-40

subtract 7.3b from both sides

b*10-7.3b=7.3b-40-7.3b

simplify

-63b=-40

divide both sides by -63

-63b/-63=-40/-63

simplify

b=40/63

sorry for the lengthy explanation

hope this helps :) have a nice day !! (please let me know if this was wrong)

1/5+2/5 what’s the answer?

Answers

The answer would be 3/5

Answer:

3/5

Step-by-step explanation:

First: you rewrite 5 then you sum up 1+2

can someone help me im stuck

Answers

Answer:

(3). 500; (4) 60

Step-by-step explanation:

Which equation matches the graph? points. (-5,1) (0,-3)
a. y= -4/5x-3
b. y= -5/4x-3
c. y=-4/5x+3
d. y= -5/4x+3

Answers

Answer:

-4/5x-3

Step-by-step explanation:

We can eliminate the options C and D as they have a +3 which means they would start at (0,3).

y=-4/5x-3

y=-4/5(-5)-3

y=4-3

y=1

same thing from last question

1=-4/5x-3

+3 to both sides

4=-4/5x

*5/4 to get 1x

5=-x

*-1 to get positive x

-5=x

which proves my answer as correct

3kg of apples and 8kg of grapes costs €7.60 in total 5kg of apples and 3kg of grapes costs €7.50in total work out the costs of a kg of each type of fruit​

Answers

Answer:

1kg of apple : €0.50

1kgof grapes : €1.20

Step-by-step explanation:

15kg of apples and 40kg of grapes costs €38

15kg of apples and 9kg of grapes costs €22.50

38 - 22.50 = 15.5

40 - 9 = 31

15.5 ÷ 31 = 0.5 ( 1kg of grapes )

0.5 × 3 = 1.5

7.5 - 1.5 = 6

6 ÷ 5 = 1.2 ( 1kg of apples )

HELP QUICK! Can someone please explain this and show your work please!

Answers

Answer:

x > -2

Step-by-step explanation:

[tex]-\frac{x}{2} + \frac{3}{2} < \frac{5}{2} \\-\frac{x}{2} < \frac{2}{2} \\-\frac{x}{2} < 1\\-x < 2\\-\frac{x}{-1} < \frac{2}{-1} \\x > -2[/tex]

See picture of graphed number line below:

5692 in standard form

Answers

Answer:

5.692 × 103.

Step-by-step explanation:

Answer:

5.692 × 10^3

Step-by-step explanation:

hope it helps you

There is a box of chocolates and one person easts one-fourth of the pieces and another person eats one-half
of the remaining pieces. If there are now six pieces left, then how many pieces were originally in the box?

Answers

Answer:

16 - Original number of chocolates in the box.

Step-by-step explanation:

C = 6 / (3/8) =6 x (8/3) =48 / 3 = 16

which type of dilation are the given scale factor scale factor negative 5/4 3/8 -1.2 0.5 expansion or contraction ​

Answers

Answer:

It's expansion.

Step-by-step explanation:

Answer:

Scale factor of k results in expansion if:

| k | > 1

and the contraction if:

| k | < 1

Given values:

-5/4        ⇒ expansion3/8          ⇒ contraction-1.2          ⇒ expansion0.5           ⇒ contraction
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