Mathematics High School

Use the table to determine a reasonable estimate for limStartFraction 2 x squared minus x + 15 Over x cubed minus 5 x minus 12 EndFraction as x approaches 3? One-half One-fourth 3 DNE

Answers

Answer 1

The reasonable estimate for limStartFraction 2 x squared minus x + 15 Over x cubed minus 5 x minus 12 EndFraction as x approaches 3 is [tex]\dfrac{1}{2}[/tex]

Given the limit of a function expressed as:

[tex]\lim_{x \to 3}\frac{2x^2-x+15}{x^3-5x-12}[/tex]

First, we need to substitute x = 3 into the function to have:

[tex]=\frac{2(3)^2-3+15}{3^3-5(3)-12}\\=\frac{18-3+15}{27-15-12}\\=\frac{0}{0} (indeterminate)[/tex]

Apply l'hospital rule on the function:

[tex]=\lim_{x \to 3}\frac{\frac{d}{dx} (2x^2-x+15)}{\frac{d}{dx} (x^3-5x-12)}\\=\lim_{x \to 3}\frac{4x-1}{3x^2-5}\\[/tex]

Subtitute x = 3 into the result

[tex]=\frac{4(3)-1}{3(3)^2-5}\\=\frac{12-1}{27-5}\\=\frac{11}{22}\\=\frac{1}{2}[/tex]

Hence the reasonable estimate for limStartFraction 2 x squared minus x + 15 Over x cubed minus 5 x minus 12 EndFraction as x approaches 3 is [tex]\dfrac{1}{2}[/tex]

Learn more here: https://brainly.com/question/23935467

Answer 2

Answer:

1/2

Step-by-step explanation:

i am in your walls

Use The Table To Determine A Reasonable Estimate For LimStartFraction 2 X Squared Minus X + 15 Over X

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Answer:

x=9 im pretty sure

Step-by-step explanation:

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Answer:

6

Step-by-step explanation:

27/9 =3

now 18/3

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Answer:

first, second and fourth are all correct

Step-by-step explanation:

Find the volume of the cone.
please help me.​

Answers

Answer:

46.08

Step-by-step explanation:

the formula for finding the volume of the cone is: V = π r^2 h/3

Insert the information provided (2 because half the diameter is the radius)

and solve. Hope this helps!

PLS HELP I'LL GIVE YOU BRAINLIEST In a recipe you need 200 g of flour to make 8 cookies. Rosie has 480 g of flour. What is the greatest number of cookies rosie can make?

Answers

Answer:

19 cookies

Step-by-step explanation:

200/8 = 25

25 grams of flour in each cookie.

480/25 = 19.2

Rosie can make up to 19 cookies with 480g of flour

Answer:

The greatest number of cookies Rosie can make is 19 cookies.

Step-by-step explanation:

200g = 8 cookies

400g = 16 cookies

475g = 19 cookies

you only have 480 g of flour and 1 cookie uses 25 g of flour.

Your Welcome!

Use the substitution method to solve the system of equations.
5x + 2y = 1
y = -x + 2

Answers

Answer:

(x,y) = (-1,3)

Step-by-step explanation:

hope this helps!

Help
I dont know the answer im not very smart

Answers

the domain of G is 4 and the range of G is 9 (domain=x, range=y :))

The solids are similar. Find the missing dimension(s).
Will mark brainlest if you give a full explanation 10 min!!!

Answers

Answer:

s = 4.5 cm

l= 3.75 cm

Step-by-step explanation:

Mathematically, when two shapes are similar, the ratio of their corresponding sides are equal

According to this rule, we have it that;

4/6 = 3/s

4 * s = 3 * 6

4s = 18

s = 18/4

s = 4.5 cm

Similarly;

4/5 = 3/l

4 * l = 5 * 3

4l = 15

l = 15/4

l = 3.75 cm

Simplify 2xy(4x+7-3y

Answers

Is it not just going to be distributed out into 8x^2+14xy-6xy^2

For the function given, state the starting point for a sample period:
ƒ(t) = −100sin (50t − 20).
plz help

Answers

Use the form  a  sin  ( b x − c ) + d  to find the amplitude, period, phase shift, and vertical shift.

Amplitude:   100

Period:  π /  25

Phase Shift:  2 /5  (  2 /5  to the right)

Vertical Shift: 0

please explain clearly

Answers

The solution to the question

What is the solution to the system of equations?
-6x-2y = 8
1
X+ 3y = 29
O (10,-2)
O (10, 2)
O (2, 10)
O (-2, 10)

Answers

Step-by-step explanation:

-2,10 is the answer according to my working

look at photo to answer!
please help

Answers

Answer:

the answer is minus 2 ( -2)

Answer:

B

Step-by-step explanation:

This involves reading the coordinates of points from the graph

When x = 3 then y = - 2 , that is the point (3, - 2 )

PLEASE HELP ASAP!!!!!!!!!!!!!!!

Answers

Answer:

the answer is D

Step-by-step explanation:

y=[tex]x^{2}[/tex]+1

Solve the equation: 1.1x + 2.35 = -8.1

Answers

Answer:

x=-9.5

Step-by-step explanation:

1.1x=-8.1-2.35

x=-9.5

I need help what is 5/3+(-7/6)​

Answers

Answer:

your answer is 1/2 hope this helped have a good day :3

Step-by-step explanation:

Answer:

1/2 or 0.5

Step-by-step explanation:

5/3 + (- 7/6)​ = 5/3 - 7/6

HELPPPPPPPPPPPPP meeeee please

Answers

Step-by-step explanation:

5. 4b = b + b + b + b (A)

4b = 2b + 2b (C)

6. 111 = 14a

a = 111/14

a = 7.92

#CMIIW

find the slope of the line through each pair of points

a. (8,-7) and (5,-3)
b. (-5,9) and (5,11)
c. (-8,-4) and (-4,-9)

Answers

Answer:

I think the answers would be :

a . 4/3

b. 1/5

c . - 5/4

hope it helps u ^^

b. If each square has a side length of 61 cm, write an expression for the surface area and another for the volume of the figure

Answers

Answer:

6*(61^2) and 61^3

Step-by-step explanation:

If the squares have a side length of 61 (assuming this is a cube) our surface area is 6*(61^2) because each side is a square and there are six sides.

As for the volume, we have 61^3.

Hope this was helpful.

~cloud

What is the diameter of a satellite dish with a circumference of 957.7?

Answers

Answer:

The diameter would be 305 m

Step-by-step explanation:

Answer:

305 assuming your using 3.14 for pi

Step-by-step explanation:

What’s an equivalent expression of 24a-16

Answers

Answer:

24 A-(8+8)

Step-by-step explanation:

Answer: 4(6a-4) This is one equivalent expression of 24a-16.

Here is an equation and all the steps Clare and Lin took to solve it. Are both of their solutions correct? Explain your reasoning.

Answers

Answer:

Both solutions are correct

Step-by-step explanation:

Given

Expression:

[tex]14x - 2x +3 = 3(5x + 9)[/tex]

See attachment for Clare and Lins' solution

Required

Determine if they are correct or not

[tex]14x - 2x +3 = 3(5x + 9)[/tex]

Open bracket

[tex]14x - 2x + 3 = 15x + 27[/tex]

Collect like terms

[tex]14x - 2x -15x = -3 + 27[/tex]

[tex]-3x = 24[/tex]

Divide by -3

[tex]x = \frac{24}{-3}[/tex]

[tex]x = -8[/tex]

Both solutions are correct

What is the volume of a box with 385 cubes and 11/3 x 5/3 x 7/3

Answers

Answer:

y

=

x

2

−

2

x

,  

y

=

x

Step-by-step explanation:

Thank you :)




The question is above!



;)​

Answers

Answer:

umm 9/2

Step-by-step explanation:

Amy,Corey, and John go to Central Park to throw a flying disk among themselves. they stand at the positions as shown on the coordinate grid below...PLEASE HELP QUICK! I WILL GIVE BRAILY ANSWER THING PLEASEEE

Answers

Hey I can help answer this but you have to add the picture of the grid

Answer:

B

Step-by-step explanation:

It is what it is

Find the area to the following figure. Round to the one decimal place.

Answers

Answer:

91in^2

Step-by-step explanation:

First, add 11 and 15:   11 + 15 = 26

Second, divide it by 2: 26/2 = 13

Third, multiply it by the height: 13 * 7 = 91in^2

What is (-m)⁻³n if m = 2 and n = -24?

Answers

Answer:

-3

Step-by-step explanation:

(-2)^-3 x (-24)

(-2)^3 becomes 1/(-2)^3 in order to make the negative exponent a positive one.

then, you do 1/-8 (the -8 is the (-2)^3 simplified) x -24

1/-8 x (24) = 24/-8 = -3.

Hope this helps! :)


Which is the minimum or maximum value if the given function
А.
The function has a maximum value of -4.
B.
The function has a minimum value of -4.
C. The function has a maximum value of -3.
D
The function has a minimum value of -3

Answers

...............................no question

Please help, will mark ya if right

Answers

Answer:

It's A I think. I did the math on math.way and it was differeten the the answers you have.

Step-by-step explanation:

Help me please I will give u a lot of points answer quick

Answers

Answer:

In the first box: 24a

In the second box: +12

In the third box: 24a + 12

Step-by-step explanation:

For the first box, you're multiplying 3 times 8a. Since we don't know a, we leave it alone and just multiply the number next to it. So 3 x 8 = 24...3 x 8a = 24a

3 times a positive 4 is a positive 12 (this is kind of a weird way to write it, but area models are weird, imo.

It's just trying to show that you multiply the 3 by every part of what's inside the parentheses.

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