7x - 4 / (x-8)(x+5) = a/x-8 + 3/x+5

Find for a

The expression that can be factored into the form (ax + b)(ax - b), where a and b are rational numbers, is 4n² - 81.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,

A.
4n² - 81,
This can be factored as (2n - 9)(2n + 9), which is of the form (ax + b)(ax - b).

B.

2n² - 49,
This can be factored as (n - 7√2)(n + 7√2), but not in the form (ax + b)(ax - b).

C.

2n² + 49:

This cannot be factored into the form (ax + b)(ax - b) using rational numbers. We can factor it over the complex numbers as (n + i√49/2)(n - i√49/2), where i is the imaginary unit, but this does not satisfy the conditions of the problem.

D.

4n² + 81,
This cannot be factored into the form (ax + b)(ax - b)

Therefore, the expression that can be factored into the form (ax + b)(ax - b), where a and b are rational numbers, is 4n2 + 81.

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Answer:

5 hours 8 mins?

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

2pi(5) is 31.42.

31.42/pi gets you exactly 10pi meters.

Answer:

None of them. The proper expression(s) to split the debt are:

5400 / 8

or

8x=5400

Answer:

3.51

Step-by-step explanation:

yes

Answer:

3.28

Step-by-step explanation:

Answer:

y=4/5x

Step-by-step explanation:

If you multiply the x value of 10, substitute it into the equation. Using the equation y=4/5x, you will get the y value of 8.

When you substitute the x value of 5 into the equation. You will get 4.

You do this for the rest of the x values and will get the correct y values.

Answer:

-14, -12, 0, 6, 8

Step-by-step explanation:

Answer: -14, -12, 0, 6, 8

Step-by-step explanation:

This is correct because -14 is the number with the smallest value so it belongs last. Then comes -12, 0, 6, 8.

Hope this helps ;)

Answer: Part A.  B origin    Part B. C(0,0)

Step-by-step explanation:

In a coordinate plane, there are two axes

1) x-axis which is the horizontal axis.

2) y-axis which is the vertical axis.

The intersection of both the axes is known as the origin whose coordiantes are (0,0), i.e. at this point value of x =0 and value of y =0.

Part A: The ordered pair that represents the intersection of the x-axis and y-axis is called the origin.

Part B: The coordinate. Part B the coordinates of the origin are (0,0).

Answer:

A 1,1

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

When u cross multiply

[tex]5 \div x = 3 \div6[/tex]

= 3x=30(5*6)

= x=30/3

=x=10

Answer:

-4 is the slope

Step-by-step explanation:

Because the line is going downwards that makes it a negative and if you count the boxes rise over run. You look for the point where the line meets a box perfectly and then you count the boxes down which is 4 and across which is one which makes it -4/1. So the slope is -4.

Answer:

60 degrees

Step-by-step explanation:

add all together

make an equation of the sum= 180

this would mean 9r-9=180

solve

9r-9=180

9r=189

r=21

plug 21 in for r on the angle Y

solve

3(21)-3

63-3

60

Answer:

The answer is below

Step-by-step explanation:

A parabola is the locus of a point such that its distance from a given line (directrix) and a fixed point (focus) is always the same.

The equation of a parabola with a horizontal line as directrix is given by:

(x - h)² = 4p(y - k)

where y = k - p is the directrix and the focus = (h, k + p)

Given that parabola has a directrix at y = 2 and a focus at (5, 0)

Therefore:

y = k - p

k - p = 2          (1)

focus = (h, k + p) = (5, 0)

h = 5, k + p = 0

k + p = 0         (2)

Solve equation 1 and 2 simultaneously by adding both equations together:

2k = 2

k = 1

Substitute k = 1 in k + p = 0 to find p:

1 + p = 0

p = -1

Therefore h = 5, p = -1 and k = 1

Substitute the values of h, k and p into the equation of a parabola:

(x - h)² = 4p(y - k)

(x - 5)² = 4(-1)(y - 1)

(x - 5)² = -4(y - 1)

x² - 10x + 25 = -4y + 4

-4y = x² - 10x + 21

4y = 10x - x² - 21

Answer:

Step-by-step explanation:

we will add like terms

-2x-2<8

we will add 2 on both sides

-2x<10

divide by 2

-x<5

multiply by -1

x>-5

Answer:

-55

Step-by-step explanation:

7x-6y=2

-2x-y=3

by substitution method

y=3+2x

7x-6(3+2x)=2

7x-18-12x=2

-5x=20

x=-4

-2(-4)-y=3

8-y=3

-y=3-8

y=5

therefore the value of x=4 and that of y=5

5x-7y=5(-4)-7(5)

=-20-35

=-55

Answer:

150°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° ( n - 2) ← n is the number of sides

Here n = 12, then

sum = 180° × 10 = 1800°

Since there are 12 interior angles, then

size of each interior angle = 1800° ÷ 12 = 150°

Given:

Increase 386.3 by  4%.

To find:

The value for given statement.

Solution:

We have,

Initial value = 386.3

Increasing rate = 4%

The increased value is

[tex]\text{New value}=\text{Initial value + Increasing rate }\times \text{Initial value}[/tex]

[tex]\text{New value}=386.3+\dfrac{4}{100}\times 386.3[/tex]

[tex]\text{New value}=386.3+15.452 [/tex]

[tex]\text{New value}=401.752[/tex]

Therefore, the required value is 401.752.

Answer: p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t

Step-by-step explanation:

We can suppose that the only force acting on the object is the gravitational force, then the acceleration of the object will be equal to the gravitational acceleration.

Then we can write:

a(t) = -32 ft/s^2

Where the negative sign is because this acceleration is downwards.

Now, to get the vertical velocity of the object, we need to integrate over time to get:

v(t) = (-32 ft/s^2)*t + v0

where t represents time in seconds and v0 is the constant of integration, and in this case, is the initial vertical velocity.

In this case, the initial velocity is 57.4 ft/s upwards, then the velocity equation is:

v(t) = (-32 ft/s^2)*t + 57.4 ft/s

To get the position equation we need to integrate over time again, to get:

p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t + p0

Where p0 is the initial height of the object, as it was launched from the ground, then the initial position is p0 = 0ft.

then the position equation (that is the function that represents the height of the object as a function over time) is:

p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t

p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t

Answer:

Give me what the steps are what are the numbers

Step-by-step explanation:

Answer:

I am not very sure, but I think the answer is

D.

Answer:

answer is d becuase i took the test and got it right

Step-by-step explanation:

the link is visable tho

Answer:

I think it's (A) 27 ft2

Step-by-step explanation

at 1.5 with 1.5 and then add to 4.5 and 4.5 then mutiply the two answers together

Answer:

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

That means that there are 6 pie pieces in each pie so just multiply by 5

another thing we can do is get rid of 1/6 by multiplying by 6 which means we also have to multiply 5 by 6

Answer: Polynomials are algebraic expressions that consist of variables and coefficients.

Step-by-step explanation:

Answer:

an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

Answer:

390 miles

Step-by-step explanation:

(45 x 4) + (35 x 6) = 390 miles