Show that f(x) = x^2 and g(x) = 1000x^2 grow at the same rate.

Answers

Answer 1
The rate of growth is the first derivative.

f(x) = x2

f'(x) = 2x

g(x) = 1000x2

g'(x) = 2000x

f'(x) ≠ g'(x)

f(x) and g(x) DO NOT grow at the same rate.
Answer 2

Answer:

You do not use the first derivative to find the rate you need to take the limit ratio as x approaches positive infinity. We use positive and not negative infinity because our function is increasing and not decreasing.  The ratio ends up being 1/1000 meaning that this a finite non zero number. Which proves that they grow at the same rate

Step-by-step explanation:


Related Questions

Find the area of the figure.



A. 180 sq. ft
B. 38 sq. ft
C. 152 sq.ft
D. 150 sq.ft
E. 44 sq.ft

Answers

Answer:

D 150 sq ft

Step-by-step explanation:

10x12 = 120

1/2(10)(6) = 30

120+30 = 150

Which graph does not represent a function?

Answers

I think is D hopefully is right

Need help please urgent. Correct answers only no links.

Answers

Answer:

the exact answer is 314.159265359

Step-by-step explanation:

but it simplifies to 314.16

Can you solve my question please, you will get brainlest, points, and stars!!!

IMPORTANT::: Write the #? Next to the answer.
Like for example there’s question #1,
Answer: #1 : .........e.t.c.
Then you write the answer.
Hope you get it!

Answers

Answer:

Below.

Step-by-step explanation:

One standard form of the equation of a straight line is

y = mx + c where m = the slope and c = the y-intercept.

Comparing this with y = 3x - 6 we see that:

The slope = 3 and the y-intercept is -6.

The error was in the y-intercept.

#2.

The error is in stating the intercepts

x - intercept is (8, 0) and y-intercept = (0, 2), (NOT (8, 2)).

#3.

The error is in stating the intercepts

x - intercept is (5, 0 and y-intercept = (0, 2).

3x + 2y = 1 4x + 3y = -2 Elimination ​

Answers

Answer:

x=7 y=-10 this is ur answer

HELP FOR TEST PLZ
find measure of angle 1

Answers

Answer:

the answer should be 98

Step-by-step explanation:

try it

Point B has coordinates ​(3​,1​). The​ x-coordinate of point A is negative 1. The distance between point A and point B is 5 units. What are the possible coordinates of point​ A?

Answers

Answer:

Given in quesion:Point B (3,1) and point A is -1. Distance between A and B is 5 units.

Using distance formula for AB we obtain,

AB^2=(x2-x1)^2 + (y2-y1)^2

5^2=(3+1)^2 + (1-y)^2

25-16=(1-y)^2

9=(1-y)^2

1-y=3

y= -2

Therefore the possible co-ordinates of A are(-1,-2).This is your required answer.

Which is the equation of a parabola with vertex (0,0) and directrix y= 4

a. Y^2 = -8x
b. Y^2 = -16x
c. X^2 = -8y
d X^2 = -16y

Answers

Answer:

D. [tex]x^{2} = -16\cdot y[/tex]

Step-by-step explanation:

The vertex form of the equation of the parabola centered in the origin, with axis of symmetry in the x-axis and directrix in the first and second quadrants is described by the following formula:

[tex]4\cdot p \cdot y = x^{2}[/tex], [tex]p < 0[/tex] (1)

Where:

[tex]y[/tex] - Dependent variable.

[tex]x[/tex] - Independent variable.

[tex]p[/tex] - Focus distance.

If we know that vertex is located at (0, 0) and the directrix pass through (4, 0), then the focus distance (distance of the vertex with respect to that point) is -4, and the equation of the parabola is [tex]x^{2} = -16\cdot y[/tex].

Hence, the right choice is D.

5. At Ripona Middle School, there are 645 students,
in the student body. There is 258 girls. What
Percent of the students are boys?

Answers

Answer:

60% of students are boys

Step-by-step explanation:

Okay first subtract 645-258 to get the amount of boys at the school

645-258=387

Now the ratio of boys to girls is

387:258

387/645×100 to get percentage of boys

put that in your calculator and you will get 60%

so there is 60% of middle school boys and

258/645×100 to get the percentage of girls

put it in the calculator and you will get 40%

so 60% boys and 40% girls

60% + 40% = 100%

If the function y=1/x is translated to the left 2 units and up 6 units, what is the new horizontal asymptote

Answers

Answer:

y=6

Step-by-step explanation:

The horizontal asymptote for y = 1/x is the x-axis, y = 0.

Shifting the graph up 6 makes the asymptote move up, too, to y = 6.

See the attached image:

y = 1/x is purple

y = 1/(x + 2) + 6 is black

what expressions from the table are equivalent to that expression ?

Answers

Answer:

Step-by-step explanation:

11). [tex]p^{\frac{3}{5}}\times \sqrt[10]{p^4}[/tex]

    = [tex]p^{\frac{3\times 2}{5\times 2}}\times \sqrt[10]{p^4}[/tex]

    = [tex]p^{\frac{6}{10}}\times \sqrt[10]{p^4}[/tex]

    = [tex]\sqrt[10]{p^{6}}\times\sqrt[10]{p^4}[/tex]

    = [tex]\sqrt[10]{p^{10}}[/tex]

    = p

    Yes

12). [tex]p^{\frac{3}{5}}\times \sqrt[10]{p^4}=\sqrt[5]{p^3} \times \sqrt[10]{p^4}[/tex]

     But, [tex]\sqrt[5]{p^3} \times \sqrt[10]{p^4}\neq \sqrt[3]{p^5}\times \sqrt[10]{p^4}[/tex]

     No

13). Since, [tex]p^{\frac{3}{5}}\times \sqrt[10]{p^4}=p[/tex]

   Simplify the given expression,

   [tex]\sqrt[10]{p^{\frac{23}{5}}}[/tex]

    [tex]\sqrt[10]{p^{\frac{23}{5}}} =p^{\frac{23}{50}}[/tex]

    No.

14). [tex]p^{\frac{12}{50}}=p^{\frac{6}{25}}\neq p[/tex]

    No.

15). [tex]p^{24}\neq p[/tex]

    No.

How do I do this I don’t understand it

Answers

Answer:

you graph it on the LINE and find the slope

Find the magnitude of a vector with initial point A(3, 4, 10) and terminal point B(8, 4, –2).

A: 0
B: 13
C: 8
D:16

Answers

Answer:

B

Step-by-step explanation:

Use the distance formula in 3 dimensions

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2 }[/tex]

with (x₁, y₁, z₁ ) = (3, 4, 10) and (x₂, y₂, z₂ ) = (8, 4, - 2)

d = [tex]\sqrt{(8-3)^2+(4-4)^2+(-2-10)^2}[/tex]

   = [tex]\sqrt{5^2+0^2+(-12)^2}[/tex]

    = [tex]\sqrt{25+144}[/tex]

    = [tex]\sqrt{169}[/tex]

     = 13 → B

in a regular polygon each interior angle is 140 greater than each exterior angle calculate the number of sides of each polygon .​

Answers

Answer:

9

Step-by-step explanation:

Exterior sides =  180 - 140 = 40

number of sides = 360 / 40 = 9 sides


I need Help please!!

Answers

Either b or d! Because as you can see the lines to create a square are in the middle. So them b and d have lines going both ways!

4·(4+32+42) please help fast

Answers

PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!! PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!! PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!! PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!! PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!!

Answer:

Uhm so I did 4×4=16 than 4×32=128 than 4×42=168

You add 16+128=144 than you divide 144÷168 which gives you a decimaled number which I got 0.8 if you round up its 1.0

Find the value of x that makes the equation true
3(-2 + 1 ) + 5 = 3x -4 - 5x

Answers

Answer:

[tex]x = - 3[/tex]

Step-by-step explanation:

Reason

[tex]3( - 2 + 1) + 5 = 3x - 4 - 5x \\ open \: the \: bracket \: at \: the \: lhs \\ - 6 + 3 + 5 = 3x - 4 - 5x \\ 2 = 3x - 4 - 5x \\ collect \: like \: terms \\ 2 + 4 = 3x - 5x \\ 6 = - 2x \\ 2x = - 6 \\ divide \: both \: sides \: by \: 2 \\ \frac{2x}{2} = \frac{ - 6}{2} \\ x = - 3[/tex]

I need help with this question pls

Answers

Answer: the third one

Step-by-step explanation:

Which in the following terms mean addition

Answers

Answer:

I think total of is right answer

total of
“of” usually means multiplication

put this in least to greastest

Answers

Answer:

3, 1, 4, 2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

-10, [tex]\sqrt{100}[/tex] , 11.5, [tex]\sqrt{220}[/tex] .

Step-by-step explanation:

Write an equation for the function that includes the points (-2,4) and (-1,8)

Answers

Answer:

If its a linear then the equation is 4x + 8

Step-by-step explanation:

please help thank you :)​

Answers

[tex] \: \: \: \: \: \: \red{ \underline{ \large{ \pink{ \tt{꧁ A \: N \: S \: W \: E \: R ꧂}}} }}[/tex]

✧ [tex] \underline{ \underline{ \large{ \red{ \tt{G \: I\: V \: E\: N}}}} }: [/tex]

AC bisects [tex] \tt{ \angle BAD\: \& \: \angle \: BCD}[/tex]

❀ [tex] \underline{ \underline{ \large{ \tt{ \purple{T \: O \: \: F \: I\: N\: D}}}}} : [/tex]

Congruence theorem which justifies ∆ ABC [tex] \cong[/tex] ∆ ADC.

♕ [tex] \underline{ \underline{ \large{ \tt{ \orange{P \: R\:O \: O \: F \: S}}} }}: [/tex]

[tex]\begin{array}{ |c| c | c | } \hline \text{SN}& \text{Statement} & \text{Reason}\\ \hline \\ \text{1 \: i.}& \sf{In \triangle} \:ABC \: \& \: \triangle \: ACD \: \ \\ & \tt{ \angle ACB= \angle \: ACD(A)}\ & \sf{AC \: bisects \angle \: BCD(Given)} \\ \text{ii} \: & \tt{AC= CA(S)}& \sf{Common \: side} \\ \text{iii} \: & \tt{ \angle \: BAC = \angle \: CAD(A)}& \sf{AC \: bisects \: \angle \: BAD ( Given )}& \\ \\ \hline 2& \tt{ \triangle} \: ABC \cong \triangle{ADC}& \red{\underline{\sf{ \bold{By \: ASA\: axiom}}}} \\ \hline\end{array}[/tex]

Hence , We can conclude :

ASA congruence theorem justifies ∆ ABC [tex] \cong[/tex] ∆ ADC

ツ Hope I helped! ♡

♪ Have a wonderful day / night ! ✎

✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \:Learning}}} ☃ [/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Halley’s Comet can be seen from Earth every 75 years. What type of sequence is formed by the years Halley’s Comet can be seen? arithmetic geometric or neither

Answers

Answer:

Arithmetic

Step-by-step explanation:

Answer:

Arithmetic

next answer is 2061

Elsa drove 864 miles in 12 hours.
At the same rate, how many miles would she drive in 8 hours?

Answers

Answer:

576 miles

Step-by-step explanation:

Answer:

else will drive 567 miles in 8h

Step-by-step explanation:

take 864÷ 12 to get how many hours she drives in one hour

you get 72

then you take 864÷2 to get how many miles she'll drive in 6h

you get 432

then you take 432 and add 144 or 72 + 72

and you get 567 miles in 8h

hope this helped!!

a one digit whole number greater than 0 is multiplied by 10^5. how many zeros will the product have?

Answers

Answer:

5

Step-by-step explanation:

Match each statement with its corresponding value for the system below:
y = -2(3)x and y = 9x - 2
1. The number of points of intersection.
2. The x-coordinate of the solution.
3. The y-coordinate of the solution.
the options as the answers are:
0, -2, and 1

Answers

Answer:

The X Coordinate equals 0.

The Y Coordinate equals -2

And the number of points of intersection is 1.

Hope this helps!

Step-by-step explanation:

Answer:

The X Coordinate equals 0.

The Y Coordinate equals -2

And the number of points of intersection is 1.

Hope this helps!

Step-by-step explanation:

Don bought four tomato plants that cost $2.38 each he paid $0.76 sales tax how much change will he receive from $10

Answers

He will pay 0.28 dollars

What is the equation of function g?
g(x)= f(x)

Answers

Answer:

f=gx-4/x-2

f=x^3+2/x

someone please help im gonna fail

Answers

Answer:

The order will be 2, 3, 4 & 1

Answer:

Juana lee Ann Jackson ryne

Step-by-step explanation:

can i have brainly

A + B = C which is correct.


|C| = A

|C| > |A|

C > 0

C < 0

Answers

Answer:

i think a is correct

Step-by-step explanation:

a is the correct answer. good luck
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