Please refer to the image below. I just want to make sure these are the right answers before turning them in :/

Answer:

[tex]\frac{a+1}{(a-2)(a-1)(a-1)}=[/tex]

Step-by-step explanation:

1. Approach

The easiest method to solve this problem is to factor the expression. In order to subtract (or add) two fractions, both fractions have to have common denominators. When the fractions are factored one can easily see the least common denominator. Convert both fractions to the least common denominator by multiplying the numerator (number over the fraction bar) and denominator (number under the fraction bar) by the value such that both fractions have the same denominator. Finally, one can subtract the numerators of the two fractions.

2. Factoring and Least common denominator

[tex]\frac{3}{a^2-3a+2}-\frac{2}{a^2-1}=[/tex]

Factor the expression, rewrite the quadratic polynomials as the product of two linear polynomials,

[tex]\frac{3}{a^2-3a+2}-\frac{2}{a^2-1}=[/tex]

[tex]\frac{3}{(a-2)(a-1)}-\frac{2}{(a-1)(a+1)}=[/tex]

The least common denominator is: ([tex](a-2)(a-1)(a-1)[/tex])

Convert both fractions to the least common denominator, multiply both the numerator and denominator by the same value to do so,

[tex]\frac{3}{(a-2)(a-1)}-\frac{2}{(a-1)(a+1)}=[/tex]

[tex]\frac{3}{(a-2)(a-1)}*\frac{a-1}{a-1}-\frac{2}{(a-1)(a+1)}*\frac{a-2}{a-2}=[/tex]

Simplify,

[tex]\frac{3}{(a-2)(a-1)}*\frac{a-1}{a-1}-\frac{2}{(a-1)(a+1)}*\frac{a-2}{a-2}=[/tex]

[tex]\frac{3(a-1)}{(a-2)(a-1)(a-1)}-\frac{2(a-2)}{(a-1)(a+1)(a-2)}=[/tex]

3. Solving the expression

[tex]\frac{3(a-1)}{(a-2)(a-1)(a-1)}-\frac{2(a-2)}{(a-1)(a+1)(a-2)}=[/tex]

Distribute, multiply every term inside the parenthesis by the term outside of it,

[tex]\frac{3(a-1)}{(a-2)(a-1)(a-1)}-\frac{2(a-2)}{(a-1)(a+1)(a-2)}=[/tex]

[tex]\frac{3a-3}{(a-2)(a-1)(a-1)}-\frac{2a-4}{(a-1)(a+1)(a-2)}=[/tex]

Simplify further,

[tex]\frac{3a-3}{(a-2)(a-1)(a-1)}-\frac{2a-4}{(a-1)(a+1)(a-2)}=[/tex]

[tex]\frac{3a-3-(2a-4)}{(a-2)(a-1)(a-1)}=[/tex]

[tex]\frac{3a-3-2a+4}{(a-2)(a-1)(a-1)}=[/tex]

Combine like terms,

[tex]\frac{3a-3-2a+4}{(a-2)(a-1)(a-1)}=[/tex]

[tex]\frac{a+1}{(a-2)(a-1)(a-1)}=[/tex]

Answer:

The integers are -58, -57, -56.

Step-by-step explanation:

The difference between two consecutive integers is 1.

If you let the smallest of the three consecutive integers equal x, then the next greater one is x + 1, and the greatest of the three is x + 2.

Integers: x, x + 1, x + 2

The sum of the first and third is: x + x + 2

3 times the sum of the first and third is: 3(x + x + 2)

That product equals -342.

3(x + x + 2) = -342

3(2x + 2) = -342

Divide both sides by 3.

2x + 2 = -114

Subtract 2 from both sides.

2x = -116

Divide both sides by 2.

x = -58

x + 1 = -57

x + 2 = -56

The integers are -58, -57, -56.

not my answer...found it from somewhere else... but hope this helps

Answer

1/2

Step-by-step explanation:

A regular number cube would be half odd half even so 1/2 of the time it wouldnt be odd

Answer:

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

Step-by-step explanation:

Simply select each of the points, Count how many squares away that point is away from the line of reflection (the y-axis) and Put that point the same distance/amount of squares away on the other side of the y-axis. Join up the points and then you get your answer!

Answer:

Surface Area = 264π

Volume = 576π

Step-by-step explanation:

in the picture

Answer:

SA= 829.38 Inches² which is 829.38/3.14159 = 264π inch³

V = 110.43 inches³.   which is 110.43/ 3.14159 = 35.15π inch³

Step-by-step explanation:

To find the surface area of cylinder, we calculate two area of circle 2πr² and one area of rectangle 2πrh first, and then add them 2πr²+2πrh.

SA of a cylinder =2πrh+2πr², where π≈3.14159

Radius given is 12/2 = 6 inches

=  2 x π x 6 x 16 + 16  x π6 x 6 ≈ 829.3804 = 829.38 Inches²

Volume = h*π *r^2

V = 16 x π

= 110.43 inches³.

Answer:

uhh i think the 2nd and the very last one

Step-by-step explanation:

sorry if its wrong

Answer:

probably giving false information or something

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

3.8 + (-0.6)

=> 3.8 - 0.6       [Since, Positive x Negative = Negative]

=> 3.2

So Plot 3.2 on the number line.             (First segment after 3)

Answer:

50

Step-by-step explanation:

2x5^2

=2x5x5

=10x5

=50

Answer:

well this is according to my calculator

Step-by-step explanation:

the answer is 506

Answer:

-9

Step-by-step explanation:

  35x + 0.15y

=3500x + 15y

= 700x + 3y

2. x + (x+2) + (x+2+2)  ----> x+x+2+x+4 ----->3x+6

3. 1/5*(r+7) - 9s -----> (r+7)/5 - 9s

4. x=cows and y= sheep+goats

Answer/x= (y+140)/2

Diameter = 2 x radius

Area of circle formula: πr²

0.82/2 gives us the radius.

The radius is 0.41 so let's square that.

0.41²= 0.1681

Your answer is 0.1681π OR approximately 0.527834*

(*since 0.1681 times 3.14 is approximately 0.527834)

Answer:

0.527834

Step-by-step explanation:

Diameter = 2 x radius

Area of circle formula: πr²

0.82/2 gives us the radius.

The radius is 0.41 so let's square that.

0.41²= 0.1681

0.527834

Hi ;-)

54 passengers on 2 buses = 27 passengers per bus

54 : 2 = 27

Answer:

the answer is 27 passengers per bus

Step-by-step explanation:

54÷2=27

[tex]( \frac{1}{4} gh) ^{3} = \frac{ {g}^{3} {h}^{3} }{64} [/tex]

I hope I helped you^_^

Answer:

((1/4g)(h))^3

=1/64  g^3 h^3

Step-by-step explanation:

Circle question of the rug

That you needed answer for is ;

3/4 pi^2  

Step-by-step explanation:

Proof  1/4 pi r^2

We can state the radius of small rug is 3ft

to show Area pi 3^2 = pi 9

If the large rug is 3x this size  

then  pi 9^2 = pi81

So the ratio here is 1 : 9 when 3 cm or 1 : 3 radius

Ratio is 1 : 9 when 1cm or 1 : 3 radius  

When 1 : 9 cm when 5cm or 1 : 3 radius  

So if we are considering an expression of the larger rug  

that shows 3: 1 more radius to that of the small.

1/4 pi^2 becomes 3/4 pi^2 of the smaller rug

As this is 3 x 1/4 pi^2 we show 3/4pi r^2

b, a, d, c, b, a + b, c, d, d

Answer:

2 pounds

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Praveen collected 20 pounds and the center only took 18.

20-18=2

Answer:

a. y=(-9)^2+3=81+3=84

y=square root of -9-2=3i-2

b. He cannot with the first but he can with with second. For the first, we have 0=x^2+3. Then subtract 4 from each side and get -3=x^2. This isn't possible in a theoretical term. For the second, you have 0=square root of x -2 or 2=square root of x. That means x is 4.

Answer:

(C) 0.5

Step-by-step explanation:

side with length 3 will now be 1.5

side with length 4 will now be 2

side with length 5 will now be 2.5

this will make the new triangle appear to be smaller than the original

Answer:

469 2/3 (Answer 3)

Answer:

It's c 469 2/3

Step-by-step explanation:

7045 ÷ 15 = 469.6666667, which is just 469 2/3

Answer:

.79

Step-by-step explanation:

79/100 or .79 m

Answer:

it's B

Step-by-step explanation:

by analyzing it I figured it was 100% B

Answer:

C. a dilation by a scale factor of 3 and then a 180 degrees rotation about the origin.

Step-by-step explanation:

G is the same point transformed as E and H is the same as point F.

Since G is now (-9,0) that was multiplied 3 times from (3,0) before it was rotated. Which would show that the answer is probably C or D.

Next, the answer looks as though it has been rotated around D or the origin by 180 degrees but we don't know that quite yet.

So check if you dilated triangle DEF by a factor of 3 then translated it down 6 units point E would now be (9,-6).

Then translate it to the left 6 units. (3, -6). That's not the same as triangle DGH.

So the answer is C.

Hope this helps! If it does brainliest would be appreciated.

Answer:

Aunts = 6/24 => 3/12 => 1/4

Sisters = 2/24 => 1/12

hope that helps uh..☺

Answer:

1/2  is the answer

Answer:

A $270 I'm guessing sorry I hope I'm right

Answer: 4 : 20

Step-by-step explanation:

1 : 5 = 4 : __

= 1 * 4 = 4

= 5 * 4 = 20

= 4 : 20

So, this is your answer

Step-by-step explanation:

y = ax +b

2 = 0a+ b => b = 2

4 = -2a + b

4 = -2a +2

2a = 2-4

2a = -2

a = -1

so, y = -x + 2