Why is the function below called a rational function?

f(x) =x+3
——
x-2

Answer:

All their angles must be equal and of the same ratio.

Step-by-step explanation:

Answer:

Equal Angles/Equal sides

Step-by-step explanation:

Given:

[tex]F=\dfrac{9}{5}C+32[/tex]

where, F is degree Fahrenheit and C is degree Celsius.

To find:

Whether there is a proportional relationship between C and F.

Solution:

We know that, proportional relations is defined as

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

where, k is constant of proportionality.

So, the line of proportional relationship passes through (0,0) and the equation must be true for (0,0).

If there is a proportional relationship between C and F, then the equation must be true for (0,0).

Substituting F=0 and C=0 in the given equation, we get

[tex]0=\dfrac{9}{5}(0)+32[/tex]

[tex]0=0+32[/tex]

[tex]0=32[/tex]

This statement is false because [tex]0\neq 32[/tex].

It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.

Hence, there is not a proportional relationship between C and F.

Product hints at multiplication so -5n is AT LEAST meaning that it is at or greater than 35....

-5n ≥ 35

Answer:

-5x≥35

Step-by-step explanation:

The word "product" means to multiply so I know that -5 times a number x is at least 35. The phrase "at least" means greater than or equal to so I know its a ≥ sign.

Hope this helps you

Answer:

The y intercept is 4

Step-by-step explanation:

Given:

-Given point: (-5,-6)

-Slope of 2

1) Put the equation into point-slope form y - y1 = m(x - x1)

With the given, we can plug it all in using this formula!

-y1 = -6

-x1 = -5

m = 2

(you would change these negative numbers into positives because the equation shows them being subtracted! remember that two negatives make one positive!)

y+6= 2(x+5)

2) Simplify

y+6= 2(x+5)

y+6=2x+10

y=2x+4

With y=2x+4, set x to 0 because the y intercept is where x is equal to 0 and you get 4!

Answer:

[tex]x = - 1[/tex]

[tex]y = 3[/tex]

Step-by-step explanation:

[tex]y - 4x = 7(eqn \: 1)[/tex]

[tex]2y + 4x = 2(eqn \: 2)[/tex]

[tex]solving \: by \: eliminating \: one \: variable[/tex]

[tex](y - 4x = 7)[/tex]

[tex] + (2y + 4x = 2)[/tex]

[tex]3y = 9[/tex]

[tex]y = 3[/tex]

[tex]y - 4x = 7[/tex]

[tex]3 - 4x = 7[/tex]

[tex] - 4x = 7 - 3[/tex]

[tex] \frac{ - 4x}{ - 4} = \frac{4}{ - 4} [/tex]

[tex]x = - 1[/tex]

The solution to this system of linear equations will be (–1, 3). Then the correct option is D.

The solution of the equation means the value of the unknown or variable.

The equations are given below.

 y − 4x = 7   ...1

2y + 4x = 2  ...2

Add both equations, then we have

3y = 9

 y = 3

Put y = 3 in equation 1, then we have

3 − 4x = 7

     4x = –4

       x = –1

The solution to this system of linear equations will be (–1, 3).

Then the correct option is D.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

(2,4)

Step-by-step explanation:

Equation 1:

x+y=6(for the 6 times they scored)

x=-y+6

Equation 2:

7x+3y=26 (for the 7 point touchdowns, and 3 point field goals.)

7(-y+6)+3y=26(replace x with -y+6)

7y+42+3y=26(distrubite property)

-4y+42=26

-4y= -16

y= 4

Now that we know that y is equal to 4:

x+4=6

x=2

The number of touchdowns and field goals that the home team scored are 2 and 4 respectively

If the team scored six-time, this is expressed as;

x + y = 6

y = 6 - x ........................ 1

If in the football game, all for the home team's 26 points came from 7-point touchdowns and 3-point field goals, this is expressed as;

7x + 3y = 26 ...................2

Substitute equation 1 into 2 to have:

7x + 3(6-x) = 26

7x + 18 - 3x = 26

4x + 18 = 26

4x = 26 - 18

4x = 8

x = 2

Recall that y = 6 - x

y = 6 - 2

y = 4

Hence the number of touchdowns and field goals that the home team scored are 2 and 4 respectively

Learn more on simultaneous equations here: https://brainly.com/question/6597041

Answer:

14.784

Step-by-step explanation:

Step-by-step explanation:

Simplest form=10/30=1/3

=1cm:3cm

Simplest form=2cm:1m

1m=100cm

2:100

2/100=1/50

1cm:50cm

Answer:

Simplest form=10/30=1/3

=1cm:3cm

Step-by-step explanation:

Answer:

I think is C.

Step-by-step explanation:

I'm so sorry if wrong!

Answer:

m = -5/4

General Formulas and Concepts:

Algebra I

The slope of the perpendicular line is the negative reciprocal of the original slope.

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope-Intercept Form (Original):   y = 4/5x + 9

Step 2: Break Original Function

Slope m = 4/5

y-intercept b = 9

Step 3: Find slope of perpendicular line

Take the negative reciprocal.

Perpendicular Slope m = -5/4

Answer:

[tex]y=\frac{5}{2}x-5[/tex]

[tex]\frac{5}{2}x-y=5[/tex]

Step-by-step explanation:

As the x-intercept is 2, therefore the point representing

the x-intercept will be: (2, 0)

As the y-intercept is -5, therefore the point representing

the y-intercept will be: (0, -5)

So we get the two points

(2, 0)

(0, -5)

Finding the slope between (2, 0) and (0, -5)

[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)[/tex]

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-5-0}{0-2}[/tex]

[tex]m=\frac{5}{2}[/tex]

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

Here m is the slope

substituting the values m = 5/2 and the point (2, 0)

[tex]y-0=\frac{5}{2}\left(x-2\right)[/tex]

so writing the equation in slope-intercept form

As we know that the slope-intercept form is

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

here

so

[tex]y=\frac{5}{2}\left(x-2\right)[/tex]

[tex]y=\frac{5}{2}x-5[/tex]

Hence, the equation in slope-intercept form is

[tex]y=\frac{5}{2}x-5[/tex]

Writing the equation in the standard form form

As we know that the equation in the standard form is

[tex]Ax+By=C[/tex]

where x and y are variables and A, B and C are constants

As we already know the equation in slope-intercept form

[tex]y=\frac{5}{2}x-5[/tex]

so the equation in the standard form will be:

[tex]\frac{5}{2}x-y=5[/tex]

Step-by-step explanation:

connect the points p and s

and comnect the points q and t

take triangle PQS and triangle TSQ

SQ similar to SQ

PQ similar to QS

QS similar to ST

therefore triangle PQS similar to triangle TSQ

Therefore , PQ/ QS = ST/ QS

PQ=ST

Answer: I believe its Option 2

Step-by-step explanation: Sory if im wrong

Answer:

first equation and second equation

Step-by-step explanation:

it is more easier because both of them have the same y

Answer:

Use equation (1) and equation(2) and eliminate 4y+z

Step-by-step explanation:

3x-4y+z=-5     ...(1)

6x-4y+z=1        ...(2)

x+y+z=6          ...(3)

First, you find the equation that you can use the elimination method on;

there are multiples of them.

However, I would use equation (1) and equation(2) and eliminate 4y+z :

 3x-4y+z=-5

- 6x-4y+z=1  

         -3x=-6

            x=2

As you can see, both the terms with y and z are eliminated in one step, exposing the variable x.

From here is just my advice:

There are multiple ways for you to answer this question. In math, the process may sometimes not matter if the answer was correct. Nevertheless, you should try finding one way that fits you or makes it easier to solve. I personally think that how I have been trying this helped me later when math got more complicated. (Also, it was fun for me to find another way that I was not taught of)

GOOD LUCK!! and I HOPE THIS HELPS YOU!!!!

Answer:

A central angle, such as angle of circle Z, is an angle whose vertex is and whose sides are radii of the circle.

Answer:

do you have a pic of the circle

Step-by-step explanation:

Answer:

137.50

Step-by-step explanation:

please give branliest

Answer:

137.5 I think I might be wrong..

Answer:

A = h b/2

Step-by-step explanation:

Answer:

J =6,L=5,K=3

Step-by-step explanation:

this is kinda hard to do bur I'll try to do it.

Answer:

I didn’t really encounter any difficulty in determining a polynomial. The issue was that numbers with negative exponents or those which had square roots in them aren’t referred to as polynomials.

The only minor issue was solving problems with numbers which had different exponents in them and needed some form of simplification.

Answer:

pi(π) is the constant and x is the variable since pi is a numerical value and x can change according to the equation given.

Step-by-step explanation:

9514 1404 393

Answer:

  P = 3x +32

Step-by-step explanation:

If we assume the short vertical edge at top center is 10 yards, as it was in two previous problems with this geometry, then we can find the area of the present parking lot as ...

  (x-2)(3x) + x(3x -10) +2x(40) = 6x^2 +64x

where the left vertical rectangle is 3x high and x-2 wide; the center area between vertical rectangles is (2x-2)-(x-2) = x wide and (3x-10) high; and the right vertical rectangle is (x-2 +3x)-(2x-2) = 2x wide and 40 high.

As we said, the right vertical rectangle is 2x wide, so the area that has P as one of its dimensions is ...

  A = LW = P(2x)

We want this to be the same as the existing area, so ...

  2Px = 6x^2 +64x

  P = 3x +32 . . . . . divide by 2x

Answer:

I think A but I might be wrong

Answer:

Step-by-step explanation:

all you would need to do is add 11 to both sides, and then you would get your answer.

Answer:

D

Step-by-step explanation:

First, we must determine b using slope-intercept form*, the given point, and the given slope.

[tex]-4 = -\frac{1}{3}(-9) + b\\\\-4 = -3 + b\\\\-1 = b[/tex]

Second, we need to set up the equation of the line in slope-intercept form.

[tex]y = -\frac{1}{3}x - 1[/tex]

Third, we convert the above equation to STANDARD FORM**.

[tex]y = -\frac{1}{3}x - 1\\\\\frac{1}{3}x + y = -1[/tex]

We now have our equation: [tex]\frac{1}{3}x - y = -1[/tex]

*Slope-intercept form: y = mx + b

**Standard form: ax + by = c

Answer:

What's the question?

Answer:

6 inches

Step-by-step explanation:

First, take the 930 kilometers and divide it by 77.5 kilometers. You will get 12. This means the distance between Austin and El Paso is 12 one half inches. That is equivalent to 6 inches.

Answer:

Expand  [tex]-3(9-x): -27 + 3x[/tex]

Step-by-step explanation:

[tex]-3(9-x)[/tex]

Apply the distributive law: [tex]a(b-c)=ab-ac[/tex]

[tex]a = -3, b=9, c=x[/tex]

[tex]=-3*9-(-3)x[/tex]

Apply minus - plus rules:

[tex]-(-a)=a[/tex]

[tex]= -3*9+3x[/tex]

Multiply the numbers: [tex]3 * 9 = 27[/tex]

[tex]=-27+3x[/tex]

Hope this helps! If so, may I get Brainliest and a Thanks?

Thank you, have a good one! =)