Mathematics College

Solve
[tex]\frac{a-1}{a-3} =\frac{a+1}{a-4}[/tex]

Answers

Answer 1

Answer:

[tex]a=\frac{7}{3}[/tex]

Step-by-step explanation:

[tex]\frac{a-1}{a-3}=\frac{a+1}{a-4}[/tex]

[tex](a-1)(a-4)=(a-3)(a+1)[/tex]

[tex]a^2-5a+4=a^2-2a-3[/tex]

[tex]-5a+4=-2a-3[/tex]

[tex]-3a+4=-3[/tex]

[tex]-3a=-7[/tex]

[tex]a=\frac{7}{3}[/tex]

Related Questions

co-efficint of (-xy²) in -5x³y²z⁴​

Answers

[tex]-5x^3y^2 z^4 = 5x^2z^4(-xy^2)\\\\\text{The coefficient of}~ (-xy^2) ~\text{is }~ 5x^2 z^4.[/tex]

Which function is graphed below?

Answers

Answer:

y=arcsec(x) (C)

Step-by-step explanation:

The graph of y=arcsec(x) is equal to the graph shown in the question

Emilio has 8 large bottles of soda and 12 large jugs of water. Emilio wants to set up identical tables and have no drinks left over. What is the greatest number of tables that he can set up?

Answers

Answer:

4

Step-by-step explanation:

Think about the ratio between the current number of large bottles of soda(8) and the current number of jugs of water (12)

By finding the GCF (Greatest Common Factor) of the two numbers, we can conclude that if both numbers were to be divided by the GCF, 4, we would get a 2:3 ratio.

For every 2 bottles of soda, 3 jugs of water will be placed. Keep doing this until we run out of both sources of liquid, in this case, 4 tables where we would use all the bottles of soda and the jugs of water.

The US average life expectancy at birth is 79.1 years. The National Sleep Foundation guidelines
recommend that adults (age 18 and up) should get 7.5 hours of sleep per night.
a) Assuming there are 365.25 days in one year, how many minutes of sleep does the person of
average life expectancy get during their adult years?
b) How many hours is this person awake during their adult years?

Answers

Answer: It depends on how many years a person lives.

Step-by-step explanation:

Which item produces the magnetic field in the electromagnet?
A-paperclips
B- a switch
C-paint brushes
D- a magnet

Answers

Answer:

Its ethier a switch or magnet

(05.03 LC) What is the initial value of the function represented by this graph? (1 point) ​

Answers

Answer:

0

Step-by-step explanation:

help i need help look at question

Answers

Answer:

A

Step-by-step explanation:

because 12 is the smallest number/angle

can someone please help me i'm almost done with my work

Answers

Answer:

you are correct with the following question

The answer is D, you have the right one chosen

Sheila is making accessories for the soccer team. She uses 559.24 inches of fabric on headbands for 28 players and 3 coaches. She also uses 271.04 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer:

27.72 inches of fabric

Step-by-step explanation:

28+3=31

Fabric used on each player:

559.24÷31=18.04

271.04÷28=9.68

18.04+9.68=27.72

88π
Rational or irrational
Good answer i mark brainlest

Answers

Answer:

Irrational

Step-by-step explanation:

The number is irrational because when you convert it to decimal form, you get 276.4601... a repeating decimal that goes on and on.

Answer:

Irrational

Step-by-step explanation:

π is irrational and 88 is rational number.

The product of the two is irrational.

Temperature differences are caused by the differences in air warming from the?
1. Solar Radiation
2. Earth Convection
3. Solar Conduction

Answers

Answer:

1 solar radiationnnnnmnnmnnnnn

SOMEONE PLEASE HELP ME!!

Answers

Answer:

should be 3

Step-by-step explanation:

hope you get a good grade

2+2 (I have been struggling on this for a long time)

Answers

You might need a maths degree for this one, I believe it’s 4 but don’t quote me on that.
It’s is 4 2+2=4 ez your welcome


88, 89, 86, 90, 83, 81, 89
What is the median number
A 88
B. 89
C 90
D. 86

Please answer this I really need help

Answers

Answer:

The answer is 90.

Step-by-step explanation:

90 is in the middle

Answer:

d

Step-by-step explanation:

cause i said so

Find the missing number in this proportion.


7 =2/4

Answers

Answer:

So in between the 2 and the / there is an 8

Step-by-step explanation:

Because 28/4=7

Pls look at the picture for question.

Answers

Answer:

-5, -2, 3, 4

They are in the correct order already :)

Step-by-step explanation:

They greater a negative number is the less it becomes and positive numbers are always greater than negative ones.

Good luck :)

HELP
find the a,b,c of this table
​

Answers

Answer:

a = b = 1 , c = - 8

Step-by-step explanation:

ax² + bx + c = y

( - 5 )² a - 5b + c = 12

c = - 8

3² a + 3b + c = 4

25a - 5b - 8 = 12 ⇔ 25a - 5b = 20 ⇔ 5a - b = 4 ........ (1)

9a + 3b - 8 = 4 ⇔ 9a + 3b = 12 ⇔ 3a + b = 4 .......... (2)

(1) + (2)

8a = 8 ; a = 1

b = 1

y = x² + x - 8

How do I solve this

Answers

Answer:

Step-by-step explanation:

well, I'd just multiply each option out using FOIL

First, Outside, Inside, Last

A) (x + 2√3i)(x - 2√3i)

First                x(x) = x²

Outside          x(- 2√3i) =  - 2x√3i

Inside             x(2√3i)   =    2x√3i

last            (- 2√3i)(2√3i) = -(2²)(√3²)(i²) = -4(3)(-1) = 12

add them all up  x² + 12      looks like it works for me

B) = x² + 36

C) = x² + 4√3 + 12

D) = x² - 12

PLEASE ANSWER FOR 30 POINTS

Answers

Answer:

One Solution

Step-by-step explanation:

x + 3y = 3      

x - y = -3        

4y = 6           Subtract to solve by elimination.

y = [tex]\frac{3}{2}[/tex]              Divide by 4.

x - [tex]\frac{3}{2}[/tex]  = -3      Substitute [tex]\frac{3}{2}[/tex] for y in the original equation.

x = -[tex]\frac{3}{2}[/tex]            Add [tex]\frac{3}{2}[/tex].

A triangle has vertices at A(-3, 2), B(-1, -5) and C(4, 5). The triangle is transformed using the rule ro,o . What are the coordinates of A", B', and C?

Answers

Answer:

I thinck letter c.

Step-by-step explanation:

Because C.

What is the slope of the line that passes through the points C(-2, 4) and D(1, -1)? 3​

Answers

Answer:

-5/3

Step-by-step explanation:

lmk if you want an explanation

please help!! 100 points

Answers

Answer: -6

Explanation:
Plug in 4 for x
H(4)=1/5(4^2-6)-8
After solving you should get -6

[tex]\\ \tt\bull\rightarrowtail h(x)=1/5(x^2-6)-8[/tex]

[tex]\\ \tt\bull\rightarrowtail h(4)[/tex]

[tex]\\ \tt\bull\rightarrowtail 1/5(4^2-6)-8[/tex]

[tex]\\ \tt\bull\rightarrowtail 1/5(16-6)-8[/tex]

[tex]\\ \tt\bull\rightarrowtail 10/5-8[/tex]

[tex]\\ \tt\bull\rightarrowtail 2-8[/tex]

[tex]\\ \tt\bull\rightarrowtail -6[/tex]

Subtract 95 800 by 28 766 ?
please please please help!!

Answers

Answer: 95,800 - 28,766 = 67,034

Step-by-step explanation: hope this helps :)

I think it’s 67,034

What is 3/4+11/12= I can't figure this out

Answers

Answer:

1 2/3

Step-by-step explanation:

1 and 2/3

The average temperature in the Arctic Circle is -25 celsius. To the nearest integer, what is the average temperature in the Arctic Circle in degrees Fahrenheit?

Answers

The temperature in the attic circle would be -25 celsius

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided
What is the expression in factored form?

2x^2 + 16x + 24

Answers

Solution : 2(+2)(+6)

Explanation : First, look for the common factor; use the sum-product pattern, then for the common factor from the two pairs, lastly, rewrite in factored form.

Find the difference between the lengths of the longest and shortest sides of a rectangle if its area is 924 square milimetres and its perimeter is 122 milimetres.

Answers

Length =l

Height = h

Area function = l * h = 924

Perimeter function = 2i + 2h = 122

Divide by 2

I + h = 61.

Plug in I or h for the other variable

I * (61 - I) = 924

61i - i^2 = 924

Factor the function

(-I + 28)(I - 33) = 0

l = 33 as l cannot be negative

61 - 33 = 28

h = 28

Difference between h and l is 33-28=5

Explain how to graph a line when given the standard form Ax + By = C of a linear equation.

PLEASE HELP ME

Answers

Step-by-step explanation:

A= C. - By

x. ×

answer by a

huhuhu

Karen stacks a set of cans as shown. The top can has a diameter of 2 inches, the middle can has a diameter of 5 inches, and the bottom can has a diameter of 6 inches.

Answers

Answer:

Unknown

Step-by-step explanation:

What is the question? You have the information listed but you forgot to ask the question.

Okie help help math math math math

Answers

Answer: 33

Step-by-step explanation: In the problem, you are given the figure with the following:

2x+3 and 3x+12

Method: Lets set this into an equation. Remember that straight lines add up to 180°.

2x+3+3x+12=180°    Combine like terms.

5x+15=180°

5x=165°

x=33°

You can always plug in 33° in the expression that was set to make sure it does give you 180°.

Hope this helps.

Answer:

33

Step-by-step explanation:

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