i’ll give brainliest please help!!!

9514 1404 393

Answer:

  3.16 or -3.16

Step-by-step explanation:

Add 10 and take the square root.

  x^2 = 10

  x = ±√10 ≈ ±3.16

x is 3.16 or -3.16

After partial fraction decomposition the correct expression we get,

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex]

Hence option fourth is correct.

Partial fractions is a technique used in mathematics to decompose a rational function into simpler fractions.

It involves breaking down a rational function with a denominator of a higher degree into a sum of fractions with simpler denominators.

The given expression is,

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A}{2x-3} + \frac{B}{(2x-3)^2}[/tex]

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A(2x-3) + B}{4x^2 - 12 x + 9}[/tex]                      [since (a-b) = a² + b² -2ab]

Simplifying we get

⇒ 12x - 25 = A(2x - 3) + B

⇒ 12x - 25 = 2Ax + (B - 3A)

Comparing the coefficients we get

2A = 12

⇒ A = 6

And B - 3A = -25

Put the value of A we get

B =  -7

Hence,

After substituting the values of A and B in the given expression we get

[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex].

To learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ4

Answer:

whats the question?

Step-by-step explanation:

Answer:

f(x)=-4x+22

f(12)=-4×12+22=-48+22=-26 if your

Step-by-step explanation:

question is f(x)=-4x+22

Therefοre , the sοlutiοn οf the given prοblem οf functiοn cοmes οut tο be the average yearly rate οf decrease (in dοllars per year) is $100.

Explain functiοn.

Each tοpic, mathematics, variable design, which is and bοth actual and hypοthetical lοcatiοns will be cοvered in the midterm exam questiοns. a catalοg οf the cοnnectiοns between variοus cοmpοnents that wοrk tοgether tο prοduce the same οutcοme. A service is made up οf many unique parts that wοrk tοgether tο prοduce unique οutcοmes fοr each input.

Here,

[tex]= > V(t) = V(0) * e^{(-kt)[/tex]

By using the numbers at times t=1 and t=3, we can determine the decay cοnstant k:

[tex]= > V(1) = 400 = V(0) * e^{(-k1)[/tex]

[tex]= > V(3) = 100 = V(0) * e^{(-k3)[/tex]

[tex]= > 100/400 = e^{(-k3) / e^{(-k1)[/tex]

[tex]= > 1/4 = e^{(-2k)[/tex]

[tex]= > ln(1/4) = -2k[/tex]

[tex]= > k = ln(4)/2[/tex]

[tex]= > k ≈ 0.69315[/tex]

The value οf the cοmputer at times t=2 and t=4 can nοw be determined using the algοrithm fοr V(t):

[tex]= > V(2) = V(0) * e^{(-k2)[/tex]

[tex]= > V(4) = V(0) * e^{(-k4)[/tex]

[tex]= > V(4)/V(2) = e^{(-k4) / e^{(-k2)[/tex]

[tex]= > V(4)/V(2) = e^{(-2k)[/tex]

[tex]= > V(4)/V(2) = e^{(-0.69315*2)[/tex]

[tex]= > V(4)/V(2) =0.5[/tex]

Over this time periοd, the average yearly rate οf decline (in dοllars per year) is:

Ratiο οf decline equals value shift. (time interval)

=>  V(2) - V(4) = (rate οf decline) / (4 - 2)

=>  (amοunt οf reductiοn) is equal tο (V(2) * (1 - 0.5)) / 2.

=>  (amοunt οf decline) is equal tο (V(2) * 0.5) / 2.

=>  V(2) / 4 equals (rate οf decline)

=>  (rate οf reductiοn) equals 400 / 4

=> rate οf decline) = $100 annually

As a result, οver the twο-year periοd frοm t=2 tο r=4, the average yearly rate οf decrease (in dοllars per year) is $100.

To know more about function visit:

brainly.com/question/28193995

#SPJ1

Answer:

B, for every y there are 150 x's

Answer:

6 in.

Step-by-step explanation:

Rectangular prism

V = lwh       l = 8   W = 3    h = 9

  = 8(3)(9)

  = 216

Cube

[tex]V = s^{3}[/tex]   where s = length of side

216 = [tex]s^{3}[/tex]

[tex]s = \sqrt[3]{216}[/tex]  = 6

Answer:

2

Step-by-step explanation:

Answer:

c = 10

Step-by-step explanation:

8² + 6² = c²

64 + 36 = c

64 + 36 = 100

[tex]\sqrt{100\\[/tex] = 10

Hope this helps :)

Answer:

Step-by-step explanation:

im clueless

Answer:

1800

Step-by-step explanation:

Answer:

1800 pounds

Step-by-step explanation:

1st year: 2 rabbits

2nd year: 6 rabbits

3rd year: 18 rabbits

18 x 100 = 1800

hope this helps :)

Answer:

if you can try to go on your phone and then theres a app that lets you take a picture then it will answe it

Step-by-step explanation:

Answer:

120ft

Step-by-step explanation:

8 x 3 x 5

Answer:

y approaches negative infinty

Answer:

Step-by-step explanation:

Sum of angles inside triangle is 180

b + (a -3) + 90 =180

b + a - 3 + 90 = 180

b + a +  87 = 180

b + a +  87 -87 = 180-87

b + a  = 180-87

b + a  = 93

b = 93 -a

Answer:

$25.50

Step-by-step explanation:

3 people including Audrey went on the lunch break. If each spent $8.50, the total bill can be calculated in two ways

Method 1

$8.50 x 3 = $25.50

Method 2

$8.50 + $8.50 + $8.50 = $25.50

Answer:

I cant really help with the diagram but the equation is

$44.95 divided by 5 = $8.99

Answer: The equation is 5c = 44.95

Step-by-step explanation:

The equation is 5c = 44.95, when c is the price of each calculator.

Answer:

Ans (change recieved) = $0.80

Step-by-step explanation:

because 1 cupcake cost $1.05, 4 of them cost $4.2 because you multiply 4 cupcakes by the cost ($1.05) to obtain the total cost of the four cupcakes.

in order to know the change she recieved . you subtract the $5 bill she paid with the total cost of the 4 cupcakes

$5.00 - $4.20 = $ 0.80

Answer:

3/18 = 6/ DG

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5/6 x 6 = 30/6

Basically just multiply the numerator and whole number to get the new numerator. Put that on top of the denominator and then convert it to the simplest fraction (if necessary).

Answer:

c

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

2(2) + 15(2)+ 9 = 43

Answer:

43

Step-by-step explanation:

2 x 2 = 4

4 + (15 x 2) = 34

34 + 9 = 43

Answer:

Step-by-step explanation:

The area of a trapezoid is the height times the average of its parallel bases.

A=h(b1+b2)/2, in this case

A=14(4.6+8.7)/2

A=7(4.6+8.7)

A=7(13.3)

A=93.1 km^2

Answer:

x=180-(67+52)

Step-by-step explanation:

a linear pair is 180

we are already have two angles add them together

subtract that from 180 and you will get the last angle