What creates a hole in the graph of a rational function?​

Hello!

[tex]\large\boxed{x = 2}[/tex]

Solve the system using substitution:

We can rearrange the second equation to find an expression for y:

x - y = 3

Subtract x from both sides:

-y = -x + 3

Multiply the equation by -1:

y = x - 3

Substitute this value of y into the first equation:

4x + 2y = 6

4x + 2(x - 3) = 6

Distribute:

4x + 2(x) + 2(-3) = 6

Simplify and combine like terms:

4x + 2x - 6 = 6

6x = 12

6x / 6 = 12 / 6

x = 2.

Answer:

y = -1

Step-by-step explanation:

x - y = 3

x = 3 + y

4x + 2y = 6

substitute x for 3 + y

4(3+y) + 2y = 6

open the parenthesis

12 + 4y + 2y = 6

12 + 6y = 6

subtract 12 from both sides of the equation

12 - 12 + 6y = 6 - 12

6y = 6 - 12

6y = -6

divide both sides of the equation by 6

6y/6 = -6/6

y = -6/6

y = -1

The answer is -1

(AKA the second option)

Answer:

x= 4

Step-by-step explanation:

combined combined multiplied terms into a single fraction

2(x-7)=-2

3

distribute

2x-14=-2

3

multiply all terms by the same value

3•2x-14=3(-2)

3

cancel multiply terms that are denominator

2x-14=-6

add 14

2x-14+14=-6+14

add Numbers

2x=8

then divide the x with the number it has.

Answer:

D

Step-by-step explanation:

A pair similar to 3 red to 1 blue is 6 red to 2 blue. Since there are already 4 red and 2 blues, then you just add 2 reds. Hope that helps!

Answer:

D. 2 red, 0 blue

Step-by-step explanation:

You already have 4 red, 2 blue. If you add 2 red, 0 blue, you have 6 red, 2 blue. If you divide both amounts by 2, (6 divided by 2, 2 divided by 2) you get 3 red, 1 blue.

Hope this helps!

Answer:

1=-1

5=-6

1=-5

Step-by-step explanation:

hope that helped...

Answer:

s = 11

Step-by-step explanation:

[tex]s-6\geq 5\\\\s-6+6\geq 5+6\\\\\boxed{s\geq 11}[/tex]

Any number greater than or equal to 11 would be a solution for the inequality given.

s = 11 is a solution.

Hope this helps.

Answer:

s = 11

Step-by-step explanation:

I think this is it because 11 - 6 = 5 this might not be right but i think it is.

Answer:

The answer is A

Answer:

y = 6x - 4

Step-by-step explanation:

Slope formula: y = mx + b

m = slope, found by figuring out the change in y over the change in x. A fancy way to say find the simplest rate of how far up it goes over how far right it goes. In this case, the line goes up 6 for every time it goes right one; 6/1. This can be simplified as 6.

b = y-intercept, meaning where the line crosses the y line. In this line, you can see that it crosses at -4.

Hope this helps!

Answer:

The numerator is the number on top of the bottom number (denominator)

Answer:

∠A is 55°

∠B is 125°

∠C is 55°

∠D is 125°

Step-by-step explanation:

The two acute angles in a parallelogram are equal, and the two obtuse angles are equal too. The angles in all quadrilaterals add to 360°. Since You're given one of the obtuse angles, multiply that number by 2 (125 × 2 = 250) , then subtract that from 360 (360 - 250 = 110) for the value of BOTH acute angles. Divide that by 2 for each individual acute angle (110/2 = 55)

Answer:

A.55

b.125

c.55

d.125

Step-by-step explanation:

thank you

First, find the converting ratio for kilometers to miles, which is

1km = 1.61 miles.

Then, divide 410 on the side for miles on the ratio.

410km=254.67miles

Therefore, 410 km is equal to 254.67 miles.

Answer:

x>12

Step-by-step explanation:

Answer:

x > 12

Step-by-step explanation:

x/2 + 3 > 9 solve this like a normal inequality, start by subtracting 3

x/2 > 6 now multiply 2

x > 12

I hope this helps

Answer:

linear combination should be the right answer

Answer:

Substitution

Step-by-step explanation:

Answer:

add them together and equal them to 180 i think

Step-by-step explanation:

Step-by-step explanation:

Step one:

given data

Anna

made $45.00 for 6 hours

for 1 hour she will make

=45/6

=$7.5

for 10 hours she will make

=$75

Allison

made $50.75 for 7 hours

for 1 hour she will make

=50.75/7

=$7.25

for 10 hours she will make

=$72.5

Anna will make more, she will make $75

Answer:

b

Step-by-step explanation:

heavier ball by thw eight

Answer:

65 degrees

Step-by-step explanation:

Answer:

Option B is correct 65°

Step-by-step explanation:

Apply the trigonometric identity sine

[tex]sin\ x=\frac{6.1}{6.7}\\\\sin\ x= 0.9104\\x=sin^{-1}(0.9104)\\x=65[/tex]

Do not forget to convert your calculator into degree form if it is set to radian.

Alright since you haven't studied trigonometry forget what i said here xD

The table given are the ratios of the respective angles 55, 65, 75.

First we need the adjacent side of the triangle. We have the opposite side of the triangle which is 6.1 and the hypotenuse which is 6.7 we use Pythagoras theorem

[tex]a^2+b^2=c^2\\a^2+(6.1)^2=(6.7)^2\\a^2=(6.7)^2-(6.1)^2\\a^2=7.68\\a=\sqrt{7.68}\\a=2.77 \\[/tex]

So now lets compare the ratios in table

Firstly

[tex]\frac{adjacent\ leg \ length}{hypotenuse\ leg \ length} = \frac{2.77}{6.7}=0.413\\\\\frac{opposite\ leg \ length}{hypotenuse\ leg \ length}=\frac{6.1}{6.7}=0.91 \\\\\frac{opposite\ leg \ length}{adjacent\ leg \ length}=\frac{6.1}{2.77}=2.2[/tex]

so we can see that all these values 0.413, 0.91, 2.2 correspond to the angle 65° so Option B is correct

Answer:

B

Step-by-step explanation:

A. Integers can be negative whole numbers

B. All numbers fall under "real numbers"

C. All rational numbers are real numbers, but not the other way around.

D. All rational numbers are real numbers

Hope this helped!

Answer:

C I believe.

Step-by-step explanation:

Answer:

B. Intersecting

Step-by-step explanation:

If you were to extend the lines, they would cross eachother

The given lines are intersecting.

When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.

As, from the figure we can see that the line p and q are not parallel to each other because the distance between them is not constant.

Now, the lines are not either skew or perpendicular.

If we extend the lines p and q then will meet at some point which is know as intersecting lines.

Learn more about intersecting lines here:

https://brainly.com/question/14217061

#SPJ5

Answer:

x= 50      y=22

Step-by-step explanation:

50 + 22=72

50-22=28

y is less than x

Answer:

D. 216

Step-by-step explanation:

What I did was I multiply 9x9x8 and got 648. I then divide 648 by 3 and got 216. I would appreciate it if you can mark this the brainliest if you can.

The volume of the regular pyramid is V = 216 units³

The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.

Volume of Pyramid = ( 1/3 )a²H

Given data ,

Let the volume of the pyramid be represented as V

Now , the equation will be

Let the height of the pyramid be H = 8 units

Let the side length of the pyramid a = 9 units

Now , Volume of Pyramid = ( 1/3 )a²H

On simplifying , we get

The volume of pyramid V = ( 1/3 ) ( 9 )² ( 8 )

The volume of pyramid V = ( 27 ) ( 8 )

The volume of pyramid V = 216 units³

Hence , the volume of the pyramid is 216 units³

To learn more about volume of pyramid click :

https://brainly.com/question/17615619

#SPJ7

Answer:

It is given that, AB and P Q are parallel lines.Line segment CR and D S, intersect the two lines.

Line segment CR and D S ,are Transversal to parallel lines, AB and P Q.

⇒∠C + ∠ R=180°

⇒90°+∠ R=180°

∠ R=180°-90°

∠R=90°

Similarly, ∠S=90°

→∠R+∠S=90°+90°=180°

As, sum of interior angles on the same side of transversal is 180°, so lines are Parallel.

→CR║DS

Also, AB║CD→CD║RS.

If in a Quadrilateral, opposite sides are parallel, then it is a Parallelogram,and also each interior angle has measure 90°, so it is a Rectangle.

In a rectangle opposite sides are equal.

Step-by-step explanation:

Answer:

1) Subtracting one from the other

2) x = 0.375 and y = 0.125

Step-by-step explanation:

Equation 1 :

[tex]\frac{2x+1}{2y}=7\\\\[/tex]

Equation 2:

[tex]\frac{6x-1}{2y}=5[/tex]

To solve these equations by the Elimination method we multiply equation 1 with 6 and multiply equation 2 with 2 so now,

[tex]\frac{2x+1}{2y} =7\\\\2x+1=14y\\\\Multiplying\ Equation\ 1\ with\ 6\\\\12x+6=84y[/tex]

Now for the second equation:

[tex]\frac{6x-1}{2y}=5\\\\6x-1=10y\\\\Multiplying\ equation\ 2\ with\ 2 \\\\12x-2=20y[/tex]

Now subtracting equation 2 from equation 1

[tex]12x+6=84y\\\\12x-2=20y\\\\Subtracting\ leads\ to\\12x-12x+6-(-2)=84y-20y\\0+8=64y\\8=64y\\8/64=y\\0.125=y[/tex]

now insert this value of y into any equation

lets insert it into equation 1

[tex]\frac{2x+1}{2y} =7\\\\2x+1=14y\\2x+1=14(0.125)\\2x+1=1.75\\2x=1.75-1\\2x=0.75\\x=0.75/2\\x-0.375[/tex]

................................................ok

Answer:

f-1(3)=-2x+6

Step-by-step explanation:

Complete Question:

Mrs. Roberts plants tomatoes and radishes in the areas shown in the model below.

[tex]Tomatoes: 35\ acres[/tex]

[tex]Radishes: 28\ acres[/tex]

Which expression is equivalent to the sum of the two areas?

Answer:

[tex]A + B = 63[/tex]

Step-by-step explanation:

Given

Represent the area of Tomato with A and area of Radish with B

So:

[tex]A = 35[/tex]

[tex]B = 28[/tex]

The sum of the two areas is therefore:

[tex]Sum = A + B[/tex]

Substitute 35 for A and 28 for B

[tex]Sum = 35 + 28[/tex]

[tex]Sum = 63[/tex]

So, you either represent the model as:

[tex]Sum = 63[/tex]

or

[tex]A + B = 63[/tex]

Answer:

Step-by-step explanation:

7(5+4)

Answer:

410 minutes

Step-by-step explanation:

Given that:

Time for which Jesse practices trumpet in the first week = 165 minutes

Time for which Jesse practices trumpet in the second week = 245 minutes

To find:

The total amount of time rounded to the nearest 10 minutes.

Solution:

To find the total amount of time for which Jesse practices, we need to add the time taken for practice in the first week and the time taken for practice in the second week.

Therefore, total time taken = 165 + 245 = 410 minutes

It is already rounded off to the nearest 10 minutes.

Therefore, the answer is:

Total amount of time for which Jesse practices = 410 minutes