Which inequality is true

Answer:

The instantaneous rate of change as x approaches 3 is 18.

Step-by-step explanation:

From Differential Calculus and Geometry we remember that instantaneous rate of change of the function is represented by a tangent line, whose slope is determined by the first derivative of the curve. Let [tex]f(x) = 3\cdot x^{2}[/tex], the instantaneous rate of change of the function when x approaches 3 is deducted from the definition of derivative:

[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex] (1)

[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}[/tex]

[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot (x^{2}+2\cdot x\cdot h +h^{2})-3\cdot x^{2}}{h}[/tex]

[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot x^{2}+6\cdot x\cdot h+3\cdot h^{2}-3\cdot x^{2}}{h}[/tex]

[tex]f'(x) = \lim_{h\to 0} \frac{6\cdot x\cdot h +3\cdot h^{2}}{h}[/tex]

[tex]f'(x) = \lim _{h\to 0} (6\cdot x+3\cdot h)[/tex]

[tex]f'(x) = 6\cdot x \cdot \lim_{h\to 0} 1 + 3\cdot \lim_{h\to 0} h[/tex]

[tex]f'(x) = 6\cdot x[/tex] (2)

If we know that [tex]x = 3[/tex], then the instantaneous rate of change as x approaches 3 is:

[tex]f'(3) = 6\cdot (3)[/tex]

[tex]f'(3) = 18[/tex]

The instantaneous rate of change as x approaches 3 is 18.

Answer:

1999

Step-by-step explanation:

i. Distance = 16.8 km

Time = 25 mins = 5/12hours

Speed = distance/time

= 16.8÷(5/12)

= 16.8 × 12/5

= 40.32 km/h

ii. In m/s = 40.32/3.6

= 11.2 m/s

The speed of the train is 11.2 m/s.

The speed of the train is 40.32 km/h.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

Distance.

= 16.8 km

= 16.8 x 1000

= 16800 m

Time.

= 25 minutes

= 25 x 60 seconds

= 1500 seconds

Speed.

= Distance / Time

= 16800 / 1500

= 16800 / 1500

= 11.2 m per second

Speed.

Distance = 16.8 km

Time = 25/60 hours

Speed = (16.8 x 60) / 25 = 40.32 km per hour.

Thus,

The speed is 40.32 km per hour.

The speed is 11.2 meters per second.

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9514 1404 393

Answer:

  (1/120 mile/min)(60 min/h)(3 h)

  1.5 mile

  the increase in depth after 3 hours

Step-by-step explanation:

The rate is given in terms of miles per minute. To find the elevation after 3 hours, we need a conversion from minutes to hours. One possible product is ...

  (1/120 mile/min)(60 min/h)(3 h)

The value of this product is ...

  (1·60·3)/(120·1·1) mile = 1.5 mile

The value represents the increase in depth after 3 hours.

Answer:

because a function always gives a determined answer from what was placed into the domain, this is not a function. what is put into the domain (students) may not get the same result through f.

Answer: 1. the students 2. the final exams 3. is- domain- one- range   brainliest plzz??

Answer:

square,rectangle,rhombus,paralellagram

Step-by-step explanation:

Answer:

(0,2)

Step-by-step explanation:

Answer:

the 6th man's age is 58!

Step-by-step explanation:

First you have to find the mean of 22, 13, 17, 16, and 17, by first adding 22, 13, 17, 16, and 17 to get 85. Because mean is the numbers added up divided by the total amount of numbers, there are 5 numbers and then you have to divided 85 by 5.

After you get the mean of these numbers, find the other number which will level the mean to 17.

yes this was a lame explanation sorry i'm only in 7th grade and this is all new to me

Step-by-step explanation:

f(x) = sin(x), a = π/6, n = 4

Find the derivatives.

f⁽⁰⁾(π/6) = sin(π/6) = ½

f⁽¹⁾(π/6) = cos(π/6) = ½√3

f⁽²⁾(π/6) = -sin(π/6) = -½

f⁽³⁾(π/6) = -cos(π/6) = -½√3

f⁽⁴⁾(π/6) = sin(π/6) = ½

T₄(x) = ½ (x − π/6)⁰ / 0! + ½√3 (x − π/6)¹ / 1! − ½ (x − π/6)² / 2! − ½√3 (x − π/6)³ / 3! + ½ (x − π/6)⁴ / 4!

T₄(x) = ½ + ½√3 (x − π/6) − ¼ (x − π/6)² − ¹/₁₂√3 (x − π/6)³ + ¹/₄₈ (x − π/6)⁴

Find the fifth derivative.

f⁽⁵⁾(x) = cos(x)

So the next term of the series would be:

cos(z) (x − π/6)⁵ / 5!

For 0 ≤ z ≤ π/3,│f⁽⁵⁾(x)│is a maximum at z = 0.  Therefore:

│R₄(x)│≤ │cos(0) (0 − π/6)⁵ / 5!│

│R₄(x)│≤ 0.000328

│R₄(x)│is always positive, so we can ignore the bottom two graphs.  The top right graph has a y-intercept of approximately 0.0003, so that is the correct graph.

Answer: 17.15

Step-by-step explanation:

6.2+10.95=17.15

Answer:

gghhhhfhfuubf

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

-2 + (-4)

-2 - 4

-6

Answer:

-6 is the answer

Step-by-step explanation:

Answer:

(3,-1)

Hope this helps! :)

Answer:

C

Step-by-step explanation:

just got it right on edge

The value of solution after divide in form of decimal is,

⇒ 0.67

We have to given that,

To write the fraction 4/6 as a decimal.

We can simplify the fraction and then divide,

⇒ 4 /6

⇒ 2 / 3

⇒ 0.67

Rounded to nearest hundredth.

Therefore, The value of solution after divide in form of decimal is,

⇒ 0.67

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Answer:

im to hungry now to answer

Step-by-step explanation:

Answer:

x = 90

y = 43

Step-by-step explanation:

[tex] In\: \triangle ABC\\

AB = AC.... (given)

\therefore m\angle ABC = m\angle ACB\\[/tex] (Property of isosceles triangle)

[tex] \because m\angle ACB = 47\degree \\

\therefore m\angle ABC = 47\degree \\

2y\degree + 47\degree+47\degree = 180\degree \\

2y\degree + 94\degree= 180\degree \\

2y\degree = 180\degree - 94\degree \\

2y\degree = 86\degree \\\\

y = \frac{86\degree}{2} \\\\

y\degree = 43\degree \\\\

\huge \purple {\boxed {y = 43}} \\\\[/tex]

x° + y° + 47°=180°

x° + 43° + 47°=180°

x ° + 90° = 180°

x ° = 180° - 90°

x° = 90°

x = 90

Answer:

99=00-41+69=6969

Step-by-step explanation:

Answer:

Step-by-step explanation:

2

Answer:

4

Step-by-step explanation:

108 divided by 4 = 27

100 divided by 4 = 25

Good luck!

Answer:

d) 123.76

Step-by-step explanation:

hope this helps :)

Answer:

The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.

So the answer is f(x) = 2x2

Thank you and please rate me as brainliest as it will help me

The function f(x) = 2x² is the quadratic function while the other functions are not the quadratic function. The first option is the correct one.

A quadratic function is a polynomial with degree 4.

f(x) = 2x² is a quadratic function as the degree of the function is 2.

g(x) = 5x³ is a cubic function as the degree of the function is 3.

k(x) = -x is a linear function as the degree of the function is 1.

[tex]b(x) = -9x^4[/tex] is a quartic function as the degree of the function is 4.

So, among all options, f(x) = 2x² is the quadratic function. The correct option is the first one.

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Answer:

$1200

Step-by-step explanation:

$1200

Step-by-step explanation:

78 = 6.5%

This means that if you divide 78 by 6.5, you get the equivalent of 1% of the price:

78 ÷ 6.5 = 12

So 1% = 12

Now simply multiply this by 100 to get the full answer:

12 x 100 = 1200

So the camera cost $1200!

Answer:

$1,200

Step-by-step explanation:

78 divided by 6.5=12

With percents you have to multiply to get out of 100 so:

12x100=1,200

78 divided by 6.5%=1,200

-SunflowerJada

Answer:

i think it is A because that seems like the one making the most sense

Step-by-step explanation:

Answer:

x = 2/5

Step-by-step explanation:

3 (2x + 3x - 2) = 0

2x + 3x - 2 = 0

5x - 2 = 0

5x = 2

x = 2/5

Answer:

iddiduududjdhdhdjdhdjr

Answer:so what is the question

Step-by-step explanation:

Answer:

z=8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(z−10)=−4

(2)(z)+(2)(−10)=−4(Distribute)

2z+−20=−4

2z−20=−4

Step 2: Add 20 to both sides.

2z−20+20=−4+20

2z=16

Step 3: Divide both sides by 2.

2z2=162

z=8

Answer:

3a -12

Step-by-step explanation:

3(– 2а - 4) + За  →  -6a - 12 + 3a  →  -3a -12

Answer:

Option A . 122°

.............

Explanation:

Alternate exterior angles are congruent when we have parallel lines like this.

You can use their vertical angle counterparts to then use the alternate interior angles if you want.

Answer:

(3^8x 2^-5x 9^0)^-2x (2^-2/3^3)^4x 3^28 =4

i hope this is correct

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

-68 = 5y-3 First you move the -3 by adding 3 to both sides to get -65 =5y

Then you divide 5 by both sides to get y=-13

Answer:

y = -13

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

-68 = 5y - 3

Step 2: Solve for y

Step 3: Check

Plug in y to verify it's a solution.

And we have our final answer!