Mathematics College

Find any points of discontinuity for y = 5x+6/x2+6x+9

Answers

Answer 1

Answer:

x = -3 is the point of discontinuity.

Hence, option B is correct.

Step-by-step explanation:

Given the expression

[tex]y=\frac{5x+6}{x^2+6x+9}[/tex]

In order to determine the discontinuity, the denominator must be 0.

so let us solve the denominator to get the values of x

[tex]x^2+9x+9\:=0[/tex]

[tex]\left(x+3\right)^2=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x+3=0[/tex]

Subtract 3 from both sides

[tex]x+3-3=0-3[/tex]

[tex]x = -3[/tex]

Therefore, x = -3 is the point of discontinuity.

Hence, option B is correct.

Related Questions

Which process would produce the complex number w2? Add 3 – i to w1. Add –9 + 3i to w1. Subtract 3 – i from w1. Subtract –9 + 3i from w1.

Answers

Answer

B.) Add [tex]-9+3i[/tex] to [tex]w1[/tex]

Step-by-step explanation:

Just took the test and D was wrong.

PLEASE HELP ASAP BEST AND CORRECT ANSWER GET BRAINLIEST

Marla drove m miles. Lawrence drove 15 more miles than Marla. Jerry drove 2 more miles than Marla. Drag and drop the expressions into the boxes to write an expression that represents the total number of miles Marla, Lawrence, and Jerry drove in all.

___ + (plus) ___ + (plus) ___

m
15
2
m + 2
m + 15
m + 30
m - 2
m - 15

fill in the three blanks using three of those answers please!!

Answers

Answer:

m + (m + 15) + (m + 2)

Step-by-step explanation:

Even thought we don't know the value of m, we can use expressions to represent it.

Hope this helps.

The required expression is m + (m + 15) + (m + 2) which represents the total number of miles Marla, Lawrence, and Jerry drove in all.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression.

Let's represent Marla drove "m" miles.

Since Lawrence drove 15 more miles than Marla.

So, this means the expression m + 15

Then Jerry drove 2 more miles than Marla.

So, this means the expression m + 2

Now, the total number of miles = m + (m + 15) + (m + 2)

This expression represents the total number of miles Marla, Lawrence, and Jerry drove in all.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ2

I WILL GIVE BRAINLIEST

Answers

Answer:

slope = 4/1 or 4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Use the slope formula. change in y/change in x. The change in y is 4 because if your subtract the y coordinate 4 from the y coordinate 8, you get 4. The change in x is 1 because if you subtract the x coordinate 2 from the x coordinate 3, you get 1. 4 (change in y)/1 (change in x) is 4. Hope this helps!

Johnny takes an Uber to a toy store to buy some slime. Each container of slime costs $5 dollars. The Uber charges a total of $10 dollars. Write an expression that represents Johnny's total cost after buying s containers of slime, including the Uber ride.

Answers

Answer:

Step-by-step explanation:

total cost= c

containers of slime=s

c=5s+10

Could someone help bc I don’t know

Answers

Answer:

A. 56 is greater than 37

B. -1 is less than 2

C. -5 is less than 0

D. -4 is greater than -5

E. -6.0 is equal to -6

Step-by-step explanation:

These are the answers because:

1) When we are comaparing positive numbers, the greater the number, the higher value it has, however, when we are comparing negative numbers, the higher the number, the less value it has.

Hope this helps! :D

d. One holding pen uses 500 feet of fence
wire and 100 feet of tie wire. A farmer
uses a combined length of 1,000 yards of
wire. What length of tie wire was used?

Help me

Answers

9514 1404 393

Answer:

500 ft or 166 2/3 yards

Step-by-step explanation:

The tie wire is (100)/(100 +500) = 1/6 of the total length of wire used. If 1000 yards of wire is used, 1/6 of that amount can be expected to be tie wire. That is ...

(1000 yd)/6 = 166 2/3 yd = 500 ft

(2a^-2)(3a^3b^2)(c^-2)

Answers

Answer:

Step-by-step explanation:

Suppose that 28% of the vehicles in a certain town are trucks. A person standing at an intersection waiting for a friend to pick him up. Let X = the number of trucks observed after 20 cars pass the observer. What is the expected value of X?

Answers

Answer:

The expected value is 5.6

Step-by-step explanation:

Here, we want to calculate the expected value of x

Mathematically, that will be the probability multiplied by the number of items

In this case, that will be ;

0.28 (28%) * 20 = 5.6

Suppose y varies directly with x. When
x is 3, y is 15. What is y when x is 10?

Answers

Answer:

Y= 30

Step-by-step explanation:

Because proportionally it makes sense as well as it multiplication.

Which value, when placed in the box, would result ina system of equations with infinitely many solutions?
y=-2x + 4
6x + 3y = O
-12
-4
4
12

Answers

Answer:

-4

Step-by-step explanation:

I can't figure this out
Please help!!

Answers

Answer: y=-1/3x+5

Step-by-step explanation: I presume they want this in the y=mx+b format where m is the slope (change in y/change in x) of the line and b is the y-intercept (what y is when x is equal to 0). To answer this you need to choose any 2 points on this graph. For simplicity's sake, I'm going to choose (0,5) and (9,2). What's good about choosing (0,5) is that we now know the y-intercept is 5. Now, to find slope, subtract the y coordinate 2 from the y coordinate 5. You now know that the change in y is 3. Then, subtract the x coordinate 9 from the x coordinate 0. You now know that the change in y is -9. Finally, divide 3 (change in y) by -9 (change in x) and you should get -3/9 which can be simplified into -1/3. So now that you have your y-intercept and your slope, all that's left to do in plug it into the format. So your answer should be y=-1/3x+5. Hope this helps you!

Admission to the local amusement park cost $5.25 and each ride cost $2.50 which of the following equations represents the cost C in dollars for admission to the park with ex ride tickets?

Answers

Answer:

C=2.50r+5.25

Step-by-step explanation:

(r represents each ride cost)

5.25 would be the y-intercept since that's the initial fee to enter the park, and 2.50 would be the slope since each ride would cost that much.

5.25+2.5x=c (cost) x is how many rides

The probability that a women likes the color blue is 10%. The probability of being a women is 40%.What is the probability that a person likes the color blue given that they are a woman?

Answers

Answer:

The probability that a person likes the color blue given that they are a woman=0.25%

Step-by-step explanation:

We are given that

The probability that a women likes the color blue=10%=[tex]\frac{10}{100}=0.1[/tex]

The probability of being a women=40%=[tex]\frac{40}{100}=0.4[/tex]

We have to find the probability that a person likes the color blue given that they are a woman.

We know that

Conditional probability formula

[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]

The probability that a person likes the color blue given that they are a woman

=[tex]\frac{0.1}{0.4}[/tex]

[tex]=\frac{1}{4}=0.25[/tex]

Hence, the probability that a person likes the color blue given that they are a woman=0.25%

so if Sarah has 10 apples and shes gives 2 to Jack, and Noah gives Sarah 8 more. How many apples does Sarah have now?

Answers

Answer:

She would have 16

Step-by-step explanation:

10-2=8

8+8=16

Find the inverse:
-3x+7y=14

Answers

9514 1404 393

Answer:

-3y +7x = 14

Step-by-step explanation:

The inverse relation is found by swapping the x- and y-variables. The relation that is the inverse of ...

-3x +7y = 14 . . . . given relation

-3y +7x = 14 . . . . inverse relation

help please, will give brainliest!
A. the equation has two true solutions
B. the equation had one true solution
C. the equation has one extraneous solution
D. the equation has one true solution and one extraneous solution

Answers

Answer:

C. the equation has one extraneous solution

Step-by-step explanation:

Given equation:

x/(x - 1) + 2/(x + 2) = -6/(x² + x - 2)

Common denominator is x² + x - 2, consider x ≠ 1 and x≠ -2

Multiply both sides by x² + x - 2:

x(x + 2) + 2(x - 1) = -6x² + 2x + 2x - 2 + 6 = 0x² + 4x + 4 = 0(x + 2)² = 0x + 2 = 0x = -2

There is one solution but it is not true one.

Option C is correct

Answer:

[tex] \frac{x}{x - 1} + \frac{2}{x + 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ \frac{x(x + 2) + 2(x - 1)}{(x - 1)(x + 2)} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 2x + 2x - 2 }{ {x}^{2} + 2x - x - 2} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 4x - 2 }{ {x}^{2} + x - 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ {x}^{2} + 4x - 2 = - 6 \\ {x}^{2} + 4x + 4 = 0 \\ {x}^{2} + 2 \times 2 \times x + {2}^{2} = 0 \\ {(x + 2)}^{2} = 0 \\ x + 2 = 0 \\ \boxed{x = - 2 }[/tex]

x =-2 is the right answer.

C. the equation has one extraneous solution.

You order pizza on Door Dash. It costs $39. Sales tax is 7%. What is the sales tax?

Answers

Answer:

Sales tax is $2.73. Making the total $41.73

Answer:

2.73 or [tex]\frac{273}{100}[/tex]

Step-by-step explanation: