If f(x) = (x^2-36)/(x+6) is continuous at x = -6, find f(-6) a)-12 b)12 c)6 d)-6

Answers

Answer 1

Answer:

A

Step-by-step explanation:

[tex]f(x)=\dfrac{x^2-36}{x+6}= \\\\\\\dfrac{(x-6)(x+6)}{x+6}= \\\\\\(x-6) \\\\\\f(-6)=((-6)-6)=-12[/tex]

Therefore, the correct answer is choice A. Hope this helps!

Answer 2

Answer:

=-12

Step-by-step explanation:

f(x) = (x^2-36)/(x+6)

Factor the numerator.  The numerator is the difference of squares  

(a^2 -b^2) = (a-b)(a+b)

f(x) = (x-6)(x+6)/(x+6)

Cancel the like terms

f(x) = x-6

f(-6) = -6-6

       = -12


Related Questions

Given f(x) = –2x + 2, find f(6).

Answers

Answer:

-10

Step-by-step explanation:

_________________________________

Solution,

f(X)= -2x+2

f(6)= -2*6+2

= -12+2

= -10

So the right answer is -10.

hope it helps

Good luck on your assignment

______________________________

If you answer all the questions on the picture I will give brainliest

Answers

Answer:

1. 324

2. 610

3. 72

4. 97

5. 20

6. 28

7. 195

the table below represents the function f

Answers

Answer:

1

Step-by-step explanation:

I belive its one because 3^2  is 9 and 9+1 = 10

to make sure  it not just once 3^3 is 27 and 27+1=28

do complementary angles form straight angles?

Answers

Answer: no

Explanation: Complementary angles form a right angle (L shape) and have a sum of 90 degrees.

9-1-1 Math EMERGENCY PLS HELP WILL GIVE BRAINLY AND 30 points
Pls solve just one queastion

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Give me brainly

Help me, please!!
If you had a nickel (.05 or five cents) that earned 100 percent interest each day or doubled in value each day. How much would you have after 10 days?

Answers

Answer:

Step-by-step explanation:

If the initial amount of nickel is doubling in value each day, it means that the amount of nickel is increasing in geometric progression. The formula for determining the nth term of a geometric sequence is expressed as

Tn = ar^(n - 1)

Where

n represents the common ratio

a represents the first term of the sequence (initial amount)

n represents number of terms in the sequence (days)

r represents common ratio between consecutive terms(days)

From the information given,

r = 2

n = 10

a = 0.05

Therefore, for 10days, T10

T10 = 0.05 × 2^(10 - 1)

T10 = 0.05 × 2^9

T10 = 25.6

Answer:

Having a nickel doubled for 10 days gives 512 nickels, or 2560 cents.

Step-by-step explanation:

Having a nickel doubled in value each day for 10 days, we first write the amount of nickels we have in the first few days, inspect what pattern these numbers take, write a general formula for the sequence formed, and use the formula to find the 10th number easily.

For the first five days we have:

Day1: 1

Day2: 1 + 1 = 2

Day 3: 2 + 2 = 4

Day 4: 4 + 4 = 8

Day 5: = 8 + 8 = 16

...

This is a geometric progression, where the first term is 1, and the common ratio is 2.

The nth term is given as

Tn = ar^(n - 1)

Tn = 1 × 2^(n - 1)

= 2^(n - 1)

That is

Day n = 2^(n - 1)

Day 10 = 2^(10 - 1) = 2^9 = 512 nickels.

But because 1 nickels = 5 cents

512 nickels = 5 × 512 = 2560 cents.

match the words that have the same roots. Every word listed has a matching word.

Answers

Answer:

Biology- Biography, Mortal-Mortify, Percent-Century, Revise-Adviser, dialogue-monologue.

Step-by-step explanation:

Bio

Mor or Mort

Cent

Vise

Logue

Are all the different latin roots present here.

Answer:

1) biology- biography

2) revise-adviser

3) mortal-mortify

4) percent- century

5) dialogue-monologue.

Step-by-step explanation:

1) Bio-Bio

2) vise-viser

3) mor-mor

4) cen-cen

5) logue-logue

are all matching words.

What's the distance between - 14 and -5 on a number line?
A) 34
B) 11.7
D) 68
Question 15 (5 points)

Answers

Answer:

9

Step-by-step explanation:

Take -14 minus -5

-14 - (-5)      Distribute the negative to -5

-14 + 5        Add

-9               Since distance can't be negative take the absolute value of -9

|-9| = 9

Answer:

the distance is 9

Step-by-step explanation:

its 9 because 14-5 = the distance of them on a number line

How many dimensions does a plane have?
Ο Α. Two
O B. Zero
O C. One
O D. Three​

Answers

Answer:

2

Step-by-step explanation:

In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far

How many dimensions does a plane have?

● Α. Two

O B. Zero

O C. One

O D. Three

Need help on this worksheet

Answers

Answer:

1. $1650

2. $1415.52

3. $5540

4. No

5. 145

6. No

Step-by-step explanation:

1. 2230 - 580

2. 157.28 x 9

3. 6630 - 1090

4.

5. 725 - 580

Hope this helps!


A diagram of a concrete walkway around a rectangular pool is shown. If the distances shown are measured in meters, find the total area of the concrete walkway.

A) 28 m2
B) 30 m2
C) 34 m2
D) 40 m2

Answers

Answer: 30 m2

Step-by-step explanation:

The area of the pool is 40 m2 and the area of the walk way (before) is 70 m2.

70 - 40 = 30 m2

Plz I need help with this

Simplify 12c+14b+3c-22

Answers

Answer:

15c +14b -22

Step-by-step explanation:

12c+14b+3c-22

Combine like terms

12c+3c+14b-22

15c +14b -22

Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.

q = 5
q = -5
q = 3
q = -3
q = 25

Answers

Answer:

Step-by-step explanation:

your equation shown above is set up incorrectly in order to solve this i need the right equation you must plug in each number to q to find the right solution

Answer: q=[tex]5\sqrt{5} , -5\sqrt{5}[/tex]

Step-by-step explanation:

the roots (zeros) are the x values where the graph intersects the x-axis. to find the roots (zeros) , replace y with 0 and solve for x.

Match the points on the number line with the rational numbers.

Answers

Answer:

A -1 6/8

B -1 2/8

C -0.5

D 1

E 1 5/8

Step-by-step explanation:

If you flip a coin and pick a number tile from a bag of beans containing 6 different numbered beans at the same time, how many possible outcomes are there? A. 4 B. 8 C. 12 D. 16

Answers

Answer: C  12

Step-by-step explanation:

ALL possible outcomes

1 tails

2 tails

3 tails

4 tails

5 tails

6 tails

1 Heads

2 Heads

3 Heads

4 Heads

5 Heads

6 Heads

so its 12 total outcomes

Answer:

12

Step-by-step explanation:

 

go ask edge

 

Easy 50 points. Graph solutions with picture.

Answers

Answer:

(-1,-4)

Step-by-step explanation:

The system of equations are given on a graph. The lines cross at coordinate (-1,-4). This would the the solution of the equations.

The system's solution should be (-1,-4).

Answer:

-1,-4

Step-by-step explanation:

The equation of lines shows the two points

and it cross in the coordinates(-1,-4)

so

solution is( -1,-4)

I need help with this question.

Answers

Answer:

They are incorrect.

Step-by-step explanation:

Both iscocoles and right angled triangles are very similar. They both measure differently and are not the same,

Yeah I agree with the person above

Determine which sequence is an arithmetic sequence.

Question 18 options:

a)

–7, –3, 1, 5, ...


b)

15, 17,19, 111, ...

c)

−10, 5, −52, 54, ...

d)

3, 6, 12, 24, ...

Answers

Answer: A

Step-by-step explanation: An arithmetic sequence is a pattern in which the same number is repeatedly added or subtracted.

Notice that in the the first sequence shown, we add 4 to reach the next term in the sequence which means this is arithmetic.

The others are not arithmetic because the difference

between the terms does not remain constant.

If it doesnt work please just tell me :)

Answers

Answer:

33units^2 is the answer

Step-by-step explanation:

which of the follow does not represent a function?

Answers

C for sure do the vertical line test

Answer:

The third one. The one you have selected.

Step-by-step explanation:

Bonita drove 8 miles from her home to the library, and then drove back. Graph A shows her distance from home during the trip. Graph B will show her distance from the library during the trip. Complete each statement about Graph B.

Answers

1. 0
Can u give me the options for the last 2

Rewrite using a negative exponent.
5/x ^2

Answers

The answer is:
5x^-2
Explain:
5/x^2
5(1/x^2)
5(x^-2)
5x^-2

Calculate the radius of the circular rug. Use 3.14 for π.







Enter your answer in the box below.

____ feet









Answers

Answer:

[tex]\sqrt{\frac{153.86}{3.14} } = r[/tex]

Step-by-step explanation:

a=pir^2

153.86 = 3.14*r^2

[tex]\sqrt{\frac{153.86}{3.14} } = r[/tex]

You're welcome and don't forget to click THANKS

Answer:

\sqrt{\frac{153.86}{3.14} } = r

Step-by-step explanation:

a=pir^2

153.86 = 3.14*r^2

\sqrt{\frac{153.86}{3.14} } = r

Find the value of x that makes line m parallel to line
n.
(4x - 23)
n
{
(2x + 17)

Answers

Answer:

20

Step-by-step explanation:

If lines m and n are parallel, then the labelled angles would be considered alternate exterior angles. By definition, such angles are of the same value.

Thus, we set the two expressions of 4x - 23 and 2x + 17 equal:

4x - 23 = 2x + 17

Subtract 2x from both sides and add 23 to both sides:

2x = 23 + 17 = 40

Divide by 2:

x = 40/2 = 20

The answer is thus 20.

~ an aesthetics lover

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

Alternate exterior angles are a pair of equal angles on opposite sides of the transversal.

[tex]4x-23=2x+17[/tex]

[tex]4x-23+23=2x+17+23[/tex]

[tex]4x=2x+40[/tex]

[tex]4x-2x=2x+40-2x[/tex]

[tex]2x=40[/tex]

[tex]\frac{2x}{2}=\frac{40}{2}[/tex]

[tex]x=20[/tex]

Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. Then calculate it again, letting Row 2 represent the x-values and
Row 1 the y-values. What effect does switching the variables have on?
Row 1
20
21
37
48
56
Row 2
63
72
177
158
164
171
129
186
Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values.
= 206 (Round to three decimal places as needed.)
134
Calculate the correlation coefficient r, letting Row 2 represent the x-values and Row 1 the y-values.
- (Round to three decimal places as needed.)

Answers

Answer:

A.) r = -0.3669

B.) r = -0.3669

C.) there is no change in the value of r

Step-by-step explanation:

Row 1 : 20, 21, 37, 48, 56, 63, 72

Row 2: 177, 158, 164, 171, 129, 186, 134

A.) Taking Row 1 values as X. And row 2 values as Y.

Regression equation using the correlation Coefficient calculator :

r = -0.3669

B) Taking Row 1 values as Y. And row 2 values as Y.

Regression equation using the correlation Coefficient calculator :

r = -0.3669

C.) the correlation does not change.

What is the equation of the translated function, g(x), if
f(x) = x2?
g(x) = (x - 4)2 + 6
g(x) = (x + 6)2 - 4
g(x) = (x - 6)2 - 4
g(x) = (x + 4)2 + 6

Answers

The answer is g(x) = (x+4)2+6

Answer:

D. g(x) = (x + 4)2 + 6

Step-by-step explanation:

I just took the test and this was the correct answer

I need help due today online school sucks I only need the answer to 6 and 7​

Answers

6) the number of glasses is 5 times the number of boxes.
7) robert is incorrect as he only needs 24 boxes to pack 120 glasses, because 120/24=5

Answer:

6. The relationship is they multiply the first box of glasses by the amount of boxes 15glasses = x 3,

30 glasses = x6

45 glasses = x 9

60 glasses = x 12

75 glasses = x15

= 30, 45, 60,75

But in between glass amount 45 +60 they show a midpoint amount of glasses in a box where 45 = 9n  then 55 = 11n and stands out as  11 boxes as an offset amount of glasses where 5 are in each box.

7. Robert is incorrect as 25 x 5 = 125 and not 120

as 120 and 125 glasses can be divided to check

125/25  = 5 and could be correct if he wanted spare glasses = 1 spare box.

But when we check 120/25 =  4.8 so this would be too many boxes as he would only need 24 boxes.

24 x 5 = 120 glasses.

Step-by-step explanation:

help me i’m in need

Answers

Answer:DStep-by-step explanation:In a function, an input (x) value should have only one output (y) value.

-------------------------------------------------------------------------------------------

Example: (View attached image below). Table A is a function because each x value has only 1 y value. But Table B is not a function because the x value of 4 has 2 y values.

Answer:

D No, because on x values corresponds to two different y values

Step-by-step explanation:

This is not a function because an input has two different outputs

x=5 has two different y values

PLEASE HELP ME OUT. THIS IS DUE TODAY.

Answers

It’s not a good idea you’re just gonna he in debt

Answer:

You probably should not.

Step-by-step explanation:

You will be in debt. You can if you are able to pay it off in the future but it's risky.

Business women Maya spends 1/4 hours a day on her cell phone. Her husband Larry spends 3/16 hours a day on his cellphone. What is the total time spent on the phone between the couple per day?

Answers

Answer:

7/16

Step-by-step explanation:

Mayas time: 1/4

Larrys time: 3/16

Total time: 1/4 + 3/16                  LCM = 16   16/4 = 4  16/16 =1

                : 1*4/4*4 + 3*1/16*1

                : 4/16 + 3/16

                : 7/16

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