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

Determine the value of y in the figure, and identify whether the triangle is isosceles or equilateral. answers: y = 30°; equilateral y = 30°; isosceles y = 60°; equilateral y = 60°; isosceles

Answers

Answer: equilateral y=60

Step-by-step explanation:

The sum of all the angles in a triangle add up to 180 degrees. So, because you have the angle measurement of two sides, you can set up an equation to solve for the third side: 60+60+x=180 (do the math and you end up with y=60)

And because all three of the angle measures are equal, the triangle is defined as an equilateral triangle.

The value of y is 60° and the given triangle is Equilateral.

What are Triangles?

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

We have a triangle where one of the angle is unknown.

Sum of the interior angles of a triangle is 180 degrees.

60° + 60° + y° = 180°

120° + y° = 180°

y° = 180° - 120°

y° = 60°

Equilateral triangles are those triangles whose all sides and all angles are equal.

Isosceles triangles are those whose 2 sides or 2 angles are equal.

Since all angles are equal to 60° here, this is an equilateral triangle.

Hence the given triangle is an equilateral triangle with the unknown angle equals 60°.

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A: y = 13 - 2x
B: y = 8 - x
At which point do these two lines intersect?

A. (1, 7)
B. (1.5, 3.0)
C, (1.6, 3.2)
D. (2, 9)

Answers

Answer:

Step-by-step explanation:

8 -x = 13 - 2x

x + 8 = 13

x = 5

y = 8 - 5

y = 3

(5, 3)

What is (-4,4) reflected on the x-axis

Answers

Answer:

(-4, -4)

Step-by-step explanation:

When reflecting coordinates onto x-axis, x sign doesn't change, y sign changes.

Answer:

(4,-4)

Step-by-step explanation:

That is the answer because it is like you are flipping the object so the opposite of -4 is 4 and the opposite of 4 is negative 4.

Is (–6, 6) a solution to the equation y = –x?

Answers

Answer:

Yes

Step-by-step explanation:

Yes since y is the negative of x like 6=-(-6)

Answer:

Yes.

Step-by-step explanation:

Because 6 is Y axis and -6 is the X axis. So therefore the equation is right.

Kim’s family spends $62.50 on dinner. They leave an 18% tip. How much is their total bill after tip?

Answers

Answer:

51.25

Step-by-step explanation:

Multiply 62.5 by .18. You get 11.25. Subtract that from 62.5 and you get 51.25.

Answer:

Multiply the price with the tip rate

18% = 0.18

62.5 x 0.18 = 11.25

that is the tip. We add that on to find the total price

62.5 + 11.25 = 73.75

73.75 dollars is the answer. Hope this helps

Step-by-step explanation:

Select the correct answer from each drop-down menu. The United States can produce 200 pillows in one week, while Spain and France produce 150 and 100 pillows, respectively, in one week. On the other hand, Spain can produce 10 televisions in one week, while the United States and France produce only 5 and 4 televisions, respectively. has an absolute advantage in producing pillows, and has an absolute advantage in producing televisions.

Answers

Answer:

The correct answers is:

The United States has an absolute advantage in producing pillows, and Spain has an absolute advantage in producing televisions

Step-by-step explanation:

Absolute advantage is a term of economics which can be defined as an ability of a person, company or country to produce a greater quantity of goods as compared to his competetors.

We can surely understand that in the pillows market, the United States has an absolute advantage as it is producing about 50 pillows more than Spain and 100 pillows more than France in one week.

Similarly, in the televisions market, Spain has the absolute advantage because Spain is producing 5 more televisions than United States and 6 more televisions than France in one week

If P(-4,-2) and Q(1, -3) represent points in a coordinate
plane. If Q is the midpoint of segment PM, find M.
O (6,-4)
o(-5, -5)
O(-4,6)
(3,1)

Answers

Answer:

the answer is (6, -4)

Step-by-step explanation:

HLP ! HLP ! HLP ! Last one

Answers

It would be the first one.

I converted each equation into the form y =\<\> Mx+b to find the slope and y intercept.
We know that the slope will be positive since the line is positive linear. We also know that the y intercept is 3, since the line crosses the y axis at 3.
Since the shaded part is above the line, the sign used will be this one: >
So therefore it’s the first one....

A rectangular prism has a width of 6 inches and a height of 10 inches. The volume of the rectangular prism is 300 in3. What is the length of the rectangular prism?

Answers

it is 300 and 300

and 300

Answer:

its 4

Step-by-step explanation:

(27)^-2/3 is equal to

Answers

Answer:

1/9

Step-by-step explanation:

(27)^-2/3=(3^3)^-2/3= 3^(-2/3*3)= 3^-2= 1/3^2= 1/9

Answer:

=1/9

Step-by-step explanation:

Apply exponent rule:   a^-b=1/a^b

(27)^-2/3 = 1/(27)^2/3

Step-by-step method in attachment:

Which rule will find the nth term of the arithmetic sequence
-58,-65, -72. -86,...?

Answers

Answer:

-85n - 7  = -92

Step-by-step explanation:

the diameter of a circle is 5 ft. Find the circumference to the nearest tenth(urgent)

Answers

Answer:

15.71

Step-by-step explanation:

To find the radius, half the diameter because r x 2 = diameter. 5/2 = 2.5

Put in circumference formula C=2πr

c=2 x 3.14 x 2.5

c= 2 x 7.85

c=15.7

Put the value into the circle circumference formula C=2πr

Can someone help me ASAP with this

Answers

Answer:

C

Step-by-step explanation:

Side a has a length of 5 and b has a length of 7. From the Pythagorean Theorem, 5² + 7² = c² which means c = 8.

Which number line correctly shows –0.8 + 0.6? A number line going from negative 1.6 to positive 1.6. An arrow goes from negative 0.8 to negative 0.2, and then backwards from 0 to negative 0.8. A number line going from negative 1.6 to positive 1.6. An arrow goes from 0 to negative 0.8 and then from negative 0.8 to negative 1.4. A number line going from negative 1.6 to positive 1.6. An arrow goes from 0 to 0.8 and then from 0.8 to 1.4. A number line going from negative 1.6 to positive 1.6. An arrow goes from negative 0.6 to 0.2 and then from 0 to negative 0.6.

Answers

Answer:

Hi there, are you sure you didn't forget any parenthesis or signs? I can't find the right answer in the options, the one that would end up at -0.2 in the end I can edit my answer if you tell me some additional option or info about the expression I need to show on the number line

Step-by-step explanation:

which number line shows correctly -0.8 + 0.6?

well lets write it in words minus eight tenths plus six tenths\

so minus:

you go 0.8 units to the left from 0,

then plus:

you go 0.6 units right from -0.8, getting to -0.2

since there is no exact answer like that we can rearrange the addends 0.6-0.8, now:

we go from 0 6 tenths units to the right and get to 0.6, then we go from 0.6 eight tenths unit to the left to get to -0.2

The correct option is Option A: the number line goes from -1.6 to 1.6. An arrow goes from -0.8 to -0.2, and then backs from 0 to - 0.8.

What is a number line?

The number line is a straight line that is infinitely extended on which integers are placed in a unit interval.

Here given that we have to find the number line which shows -0.8 + 0.6

By checking all the options

Option A: in this option arrow goes from -0.8 to -0.2. the distance covered will be -0.2-(-0.8)= -0.2+0.8= 0.6. Then arrow backward from 0 to -0.8. then the distance will be -0.8-0= -0.8. So total displacement will be -0.8+0.6.

Hence option A is correct.

Option B: in this option arrow goes from 0 to -0.8 then the distance will be -0.8-0= -0.8. Then the arrow goes from -0.8 to -1.4. then the distance will be= -1.4-(-0.8)= -1.4+0.8= -0.6. So total displacement will be -0.8-0.6.

Hence Option B is incorrect.

Option C: in this option arrow goes from 0 to 0.8 then the distance will be =0.8-0= 0.8 then the arrow goes from 0.8 to 1.4. Then the distance will be 1.4-0.8= 0.6. So the total displacement will be 0.8+0.6

Hence Option C is incorrect.

Option D: in this option arrow goes from -0.6 to 0.2 then the distance will be 0.2-(-0.6)= 0.8 then the arrow goes from 0 to -0.6 then the distance will be= -0.6-0= -0.6. Then the total distance will be -0.6+0.8

Hence Option D is incorrect.

Therefore the correct option is Option A.

Learn more about the number line

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Write the equation of the line passing through the points (10, 50) and (25, 20).

Answers

To write the equation, we need the slope and y-intercept.

Remember that slope is the same as rate of change

or the change in y over the change in x.

Start by setting up a table with x and y values

which I have provided below.

Filling out our table, our given points are (10, 50) and (25, 20).

In the y column, we can see that the value of y

goes from 50 to 20 so it decreases by -30.

This means that the change in y is -30.

In the x column, we can see that the value of x goes from 10 to 25

so it increases by 15 which means that the change in x is 15.

So the rate of change is -30/15 which simplifies to -2.

To find b, we can use any ordered pair

in our table as the values for x and y.

Let's use the first ordered pair.

So we have 50 = -2(10) + b.

Solving from here, we get 50 = -20 + b.

Now add 20 to both sides to get 70 = b.

So if our slope is -2 and our y-intercept is 70,

we can substitute these values into our formula.

This gives us y = -2x + 70.

What additional information could be used to prove that
AABC - ANML? Check all that apply.
O ZB ZM
O AABC is a right triangle.
AABC was rotated and dilated by a scale factor
between 0 and 1.
AABC was translated right and down.
OLC ZL

Answers

Answer:

A

C

E

that's the answer I got it right

on Edg

Use the following information for #18
Connor makes $120 for every 10 hours he works.
#18 How much does Connor make per hour?

Answers

Answer:

$12

Step-by-step explanation:

u do 120 divided by 10 which gives u 12 which gives u per hours

hope this helps

$12 because $120 divided by 10 = $12

let g(x)= -x^2+4x+4. Find g(p). g(p)=_____

Answers

Answer:

g(p)= -p^2+4p+4

Step-by-step explanation:

g(x)= -x^2+4x+4

Replace x with p

g(p)= -p^2+4p+4

What is the product? (x^4)(3x^3-2)(4x^2)(4x^2+5x)
(A 12x^9+15x^8-8x^6-10x^5
(B 12x^24+15x^12-8x^8-10x^4 (C 12x^9-10x^5
(D 12x^24-10x^4

Answers

Answer:

Definitely A

Step-by-step explanation:

When multiplying you add exponents.

[tex]x^{4} (3x^{2} -2) = 3x^{7} -2x^{4} \\FOIL (3x^{7} -2x^{4})(4x^{2} +5x) = 12x^{9} +15x^{8} -8x^{6} -10x^{5}[/tex]

Answer:

A)

Step-by-step explanation:

1000% sure. Use foil method and add exponents together... Also on edge.

Can you help me out on this question?

Answers

Answer:

4. x= 18

Step-by-step explanation:

We solve the problem like this:

Since 3 is proportional to 6 and 9 is proportional to x, we set up a proportion.

3/9 = 6/x  

We then use cross-multiplication to solve for x.

The histogram shows the scores of each participant in a game for a total of 100 participants. What is the ratio of participants who score 80 to 99 to the total number of participants? 17 participants scored 80-99

Answers

10/002728182.2777272829 error

GIVING BRAINLIEST
Find the area of the circle if r = 5 meters. Leave the answer in terms of
A =1000 square meters
B)
A =251 square meters
C)
A = 51 square meters
D)
A = 101 square meters

Answers

Answer:

The area is 78.54 square meters

Step-by-step explanation:

The area = pi*r² r=5

A=pi*25

A≈78.54 square meters

Find the volume round to the nearest tenth ( show work)

Answers

Answer:

2,144.7

4 x pi x (radius x radius x radius / 3)

4 x pi = 12.5663706

8 x 8 x 8 / 3 = 170.66

12.5663706 x 170.67 =2,144.66 rounded is 2,144.7

Hope this helps

Step-by-step explanation:

The linear momentum is a constant when the mass varies inversely of the velocity. If the velocity is 16 meters per second and the object weighs 450 kilograms, what is the weight for an object with a velocity of 12 meters per second?

400 kilograms
600 kilograms
6,400 kilograms
7,200 kilograms

Answers

Answer:

the weight for an object with a velocity of 12 meters per second is 600 kilograms

Step-by-step explanation:

The linear momentum of an article is : p = mv

Where p = Momentum

m = mass

v = velocity

The velocity is 16 meters per second and the object weighs 450 kilograms

So, [tex]p = 450 \times 16[/tex]

We are supposed to find the weight for an object with a velocity of 12 meters per second

So, p = 12m

We are given that the linear momentum is a constant when the mass varies inversely of the velocity.

So, [tex]450 \times 16 = 12 \times m\\\frac{450 \times 16}{12}=m\\600=m[/tex]

Hence the weight for an object with a velocity of 12 meters per second is 600 kilograms

Simplify the product. Write the answer in standard form.
(x2 + 4)(x+3)​

Answers

Answer:

x^3 + 3x^2 + 4x + 12

A baker prepares a cake mix that weighs 120 pounds. The cake mix
consists of shortening and other ingredients. The weights of the other ingredients are, 20 1/2 pounds of flour, 29 3/4 pounds of sugar, 18 1/8 pounds of milk, 16 pounds of whole eggs, and a total of 5 1/4 pounds of flavoring, salt, and baking powder. How many pounds of shortening are used in this cake mix?

Answers

Answer:

30 3/8 pounds of shortening used.

Step-by-step explanation:

20 1/2 + 29 3/4 +18 1/8 + 16 + 5 1/4 = 89.625

120- 89.625 = 30.375 pounds

0.375 as a fraction = 3/8 + 30

Therefore the total shortening used = 30 3/8 pounds

How many pounds of shortening are used in this cake mix is maximum figure as we found exact 0.375

We can do this by multiplying the 0.375 x 2 = 0.750  = 3/4

Then counteracting 4 = 1 to 8 = 1 and keeping the top fraction.

1/2 of 3/4 = 3/8

3/8 x 2 = 0.75

0.75 /2 = 0.375

Given the information in the diagram, which theorem best
justifies why lines e and f must be parallel?
alternate interior angles theorem
same side interior angles theorem
converse of the alternate interior angles theorem
converse of the same side interior angles theorem

Answers

Answer:

its D

Step-by-step explanation:

Just did the test. Goodluck

Answer:

d

Step-by-step explanation:

Can I get some help with this question?

Answers

Answer:

$250

Step-by-step explanation:

200/80=2.50

2.50*100=250

Answer:

$250.

Step-by-step explanation:

By proportion the cost should be 200 * 100/80

= 200*5/4

= 50 * 5

= $250.

if f(x)=4^x-8 and g(x)=5x+6, find (f+g)(x)

Answers

Answer:

work is shown and pictured

Which equation represents the graphed function?
O y=-2x + 3
O y = 2x + 3
Oy= 1/2x+3
Oy=-1/2x+3

Answers

Answer:

A y= -2x+3

Step-by-step explanation:

The plus 3 bring the line up 3. The negative makes the line moving down left to right. The 2 stretches the line by two.

The equation of the line in slope-intercept form is: A. y = -2x + 3.

What is the Equation of a Line in Slope-intercept Form?Equation in slope-intercept form is y = mx + b.b is the y-intercept.m is the slope of the line.

Thus, find the slope (m):

Slope (m) = change in y/change in x = -2/1 = -2

y-intercept (b) = point on the y-axis where the line intersects the y-axis = 3.

Therefore, substitute b = 3 and m = 2 into y = mx + b:

y = -2x + 3

Therefore, the equation of the line in slope-intercept form is: A. y = -2x + 3.

Learn more about slope-intercept form on:

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