answer plz plz for brainleiest

Answer:

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x - 20}{ x^2 + x - 20}[/tex]

Required

Decompose into partial fraction

Start by factorizing the denominator:

[tex]x^2 + x - 20 =x^2 + 5x -4x- 20[/tex]

[tex]x^2 + x - 20 =x(x + 5)-4(x+5)[/tex]

[tex]x^2 + x - 20 =(x-4)(x+5)[/tex]

So, we have:

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]

Take LCM

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A(x+5)+B(x-4)}{(x-4)(x+5)}[/tex]

Cancel out the denominator

[tex]x - 20 = A(x+5)+B(x-4)}[/tex]

Open brackets

[tex]x - 20 = Ax+5A+Bx-4B[/tex]

Collect Like Terms

[tex]x - 20 = Ax+Bx+5A-4B[/tex]

[tex]x - 20 = (A+B)x+5A-4B[/tex]

By comparison;

[tex](A +B)x = x[/tex] ==>[tex]A + B = 1[/tex]

[tex]5A - 4B = 1[/tex]

Make A the subject in [tex]A + B = 1[/tex]

[tex]A = 1 - B[/tex]

Substitute 1 - B for A in [tex]5A - 4B = 1[/tex]

[tex]5(1-B) -4B = 1[/tex]

[tex]5-5B -4B = 1[/tex]

[tex]5-9B = 1[/tex]

Collect Like Terms

[tex]-9B = 1 - 5[/tex]

[tex]-9B = - 4[/tex]

[tex]B = \frac{4}{9}[/tex]

[tex]A = 1 - B[/tex]

[tex]A = 1 - \frac{4}{9}[/tex]

[tex]A = \frac{9-4}{9}[/tex]

[tex]A = \frac{5}{9}[/tex]

So:

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]

Answer:

C. concurrent power

Step-by-step explanation:

Such powers are called concurrent powers. These include the power to tax, spend, and borrow money. State governments operate their own judicial systems, charter corporations, provide public education, and regulate property rights.

Answer:

27 feet

Step-by-step explanation:

There are 3 feet in 1 yard. 9×3=27

Answer:

hgyt67rdjhhrgytr7ugjv. hgehalk4

Step-by-step explanation:

Answer:

-0.3333333333

Step-by-step explanation:

It's True True True True True True True

Answer:

d = 5√2 units

Step-by-step explanation:

Let's use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plug in the values with your endpoints.

d = √[(-6 - (-7))² + (4 - 11)²]

Solve within the parentheses.

d = √[(1)² + (-7)²]

Solve the exponents.

d = √[1 + 49]

Solve within the brackets.

d = √50

Simplify the square root.

25 • 2 = 50

√25 • √2 = √50

5 • √2 = √50

d = 5√2 units

Hope this helps!

Answer:

4 miles/1 day=56 miles/X days

X=56/4=14

Step-by-step explanation:

Answer:

She runs 14 miles.

explanation:

I got it right on my test (before I saw the other answer).

Answer:

No solution.

Step-by-step explanation:

2x + y = 7

-2x - y = 6

From the first equation:

y = 7 - 2x

Plug this into the second equation:

-2x - (7 - 2x) = 6

-2x  + 2x = 6 + 7

0 = 13

this doesn't make sense so theer is:

No solution.

Answer:

the selling price is 18,400

Step-by-step explanation:

The computation of selling price is shown below:

Given that

The cost price of the shirts is 20,000

And, there is a loss of 1,600

So, the selling price is

= 20,000 - 1.600

= 18,400

hence, the selling price is 18,400

SLOPE INTERCEPT FORM: y = 7x −23

Step-by-step explanation:

4+12x=7

12x=7-4

12x=3

X=3/12

X=0.25

Answer: 420

Step-by-step explanation:

I took the test and got it right lol

Answer:

y=-2x+5

Step-by-step explanation:

To figure out the equation of a line, use the formula y=mx+c, where y and x represent the co-ordinate values, m is the slope and c is the y-intercept (where the graph cuts the y-axis).

The slope can be found by taking two points (x1,y1) and (x2,y2), and using the formula m=(y2-y1)/(x2-x1):

(0,5) and (1,3)

m=(3-5)/(1-0)

m=-2

We can see from the graph that the line cuts the y-axis at y=5, so c=5.

Now that we know m and c, we plug these values into our formula to get y=-2x+5

Answer and Step-by-step explanation:

31 degrees on the top would be equal to the angle in between x and 600ft, by the interior angles theorem.

That means we can solve for y using the trigonometric function of tangent.

[tex]tan(31) = \frac{y}{600}[/tex]

Multiply by 600 to both sides, then use a calculator to solve.

600(tan(31)) = x

x = 360.5163714

x ≈ 360.5 is the answer.

Answer:

-1/8   <----- FRACTION

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Integers can be positive or negative.

Answer/Step-by-step explanation:

1. 7x + 2 = 5x + 22 (alternate interior angles are congruent)

Collect like terms

7x - 5x = -2 + 22

2x = 20

2x/2 = 20/2

x = 10

2. 13x - 6 = 10x + 24 (alternate interior angles are congruent)

Collect like terms

13x - 10x = 6 + 24

3x = 30

3x/3 = 30/3

x = 10

3. (12x + 26)° + 46° = 180° (same side interior angles are supplementary)

12x + 26 + 46 = 180

12x + 72 = 180

12x + 72 - 72 = 180 - 72

12x = 108

12x/12 = 108/12

x = 9

4. (5x + 5)° + 135° = 180° (same side interior angles are supplementary)

5x + 5 + 135 = 180

5x + 140 = 180

5x + 140 - 140 = 180 - 140

5x = 40

5x/5 = 40/5

x = 8

Answer:

-3 is the slope of the line.

Step-by-step explanation:

You have to rearrange the equation to slope intercept form, y=mx+b.

3x+y=14

-3x     -3x

y=-3x+14

Answer:

3x + y = 14

Step-by-step explanation:

rewrite in y = mx + b format

i.e y = 3x - 14

where m = slope

therefore m=3

Answer:

Step-by-step explanation:

[tex]\text{By the Pythagorean Theorem the hypotenuse of a right triangle squared is equal to the sum of the squared sides.}\\ \\ h^2=x^2+y^2\\ \\ 33^2=31^2+x^2\\ \\ x^2=33^2-31^2\\ \\ x^2=128\\ \\ x=\sqrt{128}\\ \\ x\approx 11.3m[/tex]

Answer:

5 for $4.45

Step-by-step explanation:

Answer:

Assuming that you mean 1/6, the answer would be 3 .

Step-by-step explanation:

1/6 x 18 is equal to three.

Answer:

becoming less or fewer; diminishing. Mathematics. (of a function) having the property that for any two points in the domain such that one is larger than the other, the image of the larger point is less than or equal to the image of the smaller point; nonincreasing.

Step-by-step explanation:

BRAINLIST PLEASE!

Meaning of decreased in math is, get smaller in size, number or quantity.

We have to given that,

To defined decreased mean in math.

We know that,

We use minus sign to denote subtract, decreased by, take away, etc.

For example, Minus sign also means how much is one value more than the other value.

Hence, Meaning of decreased in math is, get smaller in size, number or quantity.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Answer:

A. 29.1020

Step-by-step explanation:

Rewrite it:

29°6'6"

29° + 6(1/60)° + 6(1/3600)°

Simplify:

29° + 0.1° + 0.002°

= 29.102

So, the correct answer is A, 29.1020

Answer:

3x-2

Step-by-step explanation:

3 times a number is 3x, if we use x as the number

Two less than (3x) is 3x - 2

Answer:$1312.5

Step-by-step explanation:

1500x1.875=2812.5

2812.5-1500=1312.5

9514 1404 393

Answer:

  neither

Step-by-step explanation:

A polynomial consisting of even-degree terms only is even.

A polynomial consisting of odd-degree terms only is odd.

The given f(x) polynomial has both even- and odd-degree terms, so is neither.