What is the slope of the line through

(-8, 10) and (6, 10)?

Answer:

Given that you're providing only a single term, asking for a difference doesn't make a lot of sense.  I assume you're asking to have the expression simplified?

If so, then it can be reduced to (x - 17) / 3x

Step-by-step explanation:

You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator.  Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.

After that you can group the terms into one fraction and simplify:

[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]

Answer:

The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Step-by-step explanation:

We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

Simplifying to find the difference:

[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

x is common in both 3x and x^2 so, we can cancel it out and we get:

[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]

Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:

[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]

It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.

So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Answer:

about $26.00

Step-by-step explanation:

$25/100 = 0.25 for 1%

1% times 4.1 = 1.025 in sales tax

plus 25 equals 26.025

round to the nearest cent = $26.00

Answer:

The equation of a line that passes through the point (-1,5) and has a slope of -7 will be:

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given

substituting m = -7 and the point (-1, 5) in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

5 = -7(-1) + b

5 = 7+b

b = 5-7

b = -2

Thus, the y-intercept is: b = -2

now substituting b = -2 and m = -7 in the slope-intercept form of the line equation

y = mx+b

y = -7x+(-2)

y = -7x-2

Therefore, the equation of a line that passes through the point (-1,5) and has a slope of -7 will be:

Answer:

Below

Step-by-step explanation:

Problem 1

Blank 1 = 6

Blank 2 = 17

(5*3)+2

Blank 3 = 4

(4*1)

Problem 2

Blank 1= (-5)^3=-5*-5*-5=-125

Blank 2= 18

(6*3)

Blank 3= 12

(4*3)

Answer:

x is equal to four, and y is equal to negative eight.

Step-by-step explanation:

Let's solve it rearranging the first equation to define y:

9x + y = 28

y = 28 - 9x

Now we plug it in to the second equation:

3x + 3y = -12

3x + 3(28 - 9x) = -12

And solve for x:

3x + 84 - 27x = -12

-24x = -96

x = 4

Now we can plug that x value into one of the original equations to find the value of y

9x + y = 28

36 + y = 28

y = 28 - 36

y = -8

Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:

3x + 3y = -12

3x + 3(-8) = -12

3x - 24 = -12

x - 8 = -4

x = 4

So we know our answer is correct.

Step-by-step explanation:

By Exterior Angle Theorem, the sum of the 2 inner angles of the triangle is equal to the exterior angle by a straight line.

Therefore we have x + 72° = 90° + 34°.

=> x + 72° = 124°, x = 52°.

Hence the value of x is 52°.

Answer:

4.5/9 = 0.5

half a pie each

Answer:

yes the ordered pair is a solution

Step-by-step explanation:

(x, y) = (0,0)

y < -x + 3

0 < - (0) + 3  

0 < 3

true, ordered pair is a solution

Answer:

7 17/60

Step-by-step explanation:

you do 6x10 witch is 60 then you do 19 x 23 witch is 437 then divide that by 60 and that is 7 and you have 17 leftover

Answer:

Answer in image below :)

Step-by-step explanation:

Answer:

D. 25x-5

Step-by-step explanation:

you need to add all the sides of the square to get 16x-12 and then add 9x+7 to get D.

Answer:

C. Protractor

Answer:

A

Step-by-step explanation:

A compass is for directions.

Answer:

6

Step-by-step explanation:

it as a interior angle of a regular polygon is 23

Answer:

[tex] m\angle XYW = (155 - 20x

)\degree [/tex]

Step-by-step explanation:

[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\

150\degree = m\angle XYW +(20x-5)\degree \\\\

150\degree - (20x-5)\degree = m\angle XYW \\\\

(150 - 20x

+5)\degree = m\angle XYW \\\\

(155 - 20x

)\degree = m\angle XYW \\\\

m\angle XYW = (155 - 20x

)\degree \\\\

[/tex]

the answer is 568 in in degrees tysm

Answer:

1.y=2/3x +9

2.y=-7x+(-3)

Step-by-step explanation:

Answer:

Answer is A

Step-by-step explanation:

because 2 × $11.50 is for adult tickets

$8 × 4 is for childrens tickets

and the equation would represent the total cost

Answer:

-14/25

Step-by-step explanation:

:D

Answer: a and c are polynomials, b is not.

Step-by-step explanation:

A polynomial p(x) is written as:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰

where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.

Notice that the powers need to be always natural numbers.

Now, let's analyze the options:

a) 3*x - 2

We can rewrite this as:

3*x¹ - 2*x⁰

Then this is a polynomial.

b) p² + 1/p    (in this case the variable is p)

the second term can be written as:

1/p = p⁻¹

Then we have a term with a negative power of p, this means that this is not a polynomial.

c) 3*y² - 2*y/3 + 1

Same as in the first case, we can rewrite this as:

3*y² - (2/3)*y¹ + 1*y⁰

This is a polynomial.

Answer:

the second choice

Step-by-step explanation:

2 has to be divided into 8 parts in total which is shown by option B

Answer:

[tex]A=2x^2+18x+36[/tex]

Step-by-step explanation:

Quadratic Function

It's given the length of a rectangular park is twice its width.

Let's call:

x = width of the rectangular park

2x = length of the rectangular park

The park is surrounded by a 3-foot-wide path. This path adds 3 ft twice to both dimensions, i.e.:

x+3+3=x+6 width of the park and the path

2x+3+3=2x+6 length of the park and the path

The total area is:

A=(x+6)(2x+6)

Operating:

[tex]A=2x^2+6x+12x+36[/tex]

[tex]\boxed{A=2x^2+18x+36}[/tex]

Answer:

30 on the first one 5x6=30, the 2nd one is 5 and the 3 one is 10 chickens

Answer:

1. Zack has 6 times more seeds than Ben, if Ben has 5 seeds, just multiply how many seeds Ben has by 6, which means Zack planted 30 seeds (This can be written Z=B*6, where Z is how many seeds Zack has, and B is how many seeds Ben has)

2.  If there are a total of 40 cards divided into 8 groups of students, that means that each group got 5 card (40 ÷ 8 = 5)

3. If each chicken has 2 wings, and she has a total of 20 wings, that means that she bought a total of 10 chickens (20 ÷ 2 = 10)

Answer:

a

Step-by-step explanation:

it is all doubles

Answer: f(1) =5

f(n+1)=4f(n)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Jimmy is eating appetizers that

have 120 calories each. He only

plans to eat 550 calories overall.

Write an inequality and determine

the most appetizers he can eat

without exceeding the limit.

He can eat 4.

Answer:

I = 19 X 0.15 X 3= 8.55

I = $8.55