Find the values of A, B, and C in the table.

A=_____
B=_____
C=_____

The derivatives of y=[tex]2x^{3}+5x^{2} +4x-9[/tex] is [tex]6x^{2} +10x+4[/tex], derivative of y=[tex]2x^{2} +3x+5[/tex] is 4x+3, derivative of [tex](5x^{2} -9)6[/tex] is 60x.

Given three functions y= [tex]2x^{3}+5x^{2} +4x-9[/tex], y=[tex]2x^{2} +3x+5[/tex], y=[tex](5x^{2} -9)6[/tex].

We have to find the derivative of functions.

Derivative of a function of a real variablemearsures the sensitivity to change of the function value with respect to a chaneg in its argument. Derivatives are a fundamental tool of calculas.

First function: y=[tex]2x^{3}+5x^{2} +4x-9[/tex], derivative can be as under:

dy/dx=2*3[tex]x^{2}[/tex]+2*5x+4             (derivative of x is 1)

(d[tex]x^{n}[/tex]/dx=n[tex]x^{n-1}[/tex])

dy/dx=6[tex]x^{2}[/tex]+10x+4

Second function: y=[tex]2x^{2} +3x+5[/tex], derivative can be as under:

dy/dx=2*2x+3

=4x+3

Third function:y=[tex](5x^{2} -9)6[/tex]

dy/dx=5*2x*6

=10x*6

=60x

Hence the derivative of first function is [tex]6x^{2} +10x+4[/tex], second function is 4x+3, third function is 60x.

Learn more about derivative at https://brainly.com/question/23819325

#SPJ4

Answer:

Slope: 2; Y-Intercept: (0,3)

Step-by-step explanation:

As you can see from the graph, it rises 4 and runs 2. So, the slope is 2. It intersects the y axis at (0,3)

Answer:

Slope: 3/2

Y-intercept: 3

Step-by-step explanation:

The line passes the y-axis at 3, and to find the slope you use rise over run. Our rise (which is going up) is 3, and our run (which is going across) is 2 (and since it moves from left to right, it is positive). The slope would be 3/2.

I hope it helps! Have a great day!  

bren~

16-4(3x-2)²

=16-4(3x-2)(3x-2)

=16+−36x²+48x+−16

=(−36x²)+(48x)+(16+−16)

=−36x²+48x

Answer:

[tex] \red{- 12x(3x - 4)}[/tex]

Step-by-step explanation:

We know that,

[tex](a - b)^{2} = {a}^{2} - 2ab + {b}^{2} \\ [/tex]

Accordingly, let us solve the sum now.

[tex]16 - 4(3x - 2)^{2} \\ 16 - 4(9 {x}^{2} - 12x + 4) \\ 16 - 36 {x}^{2} + 48x - 16 \\ - 36 {x}^{2} + 48x \\ - 12x(3x - 4)[/tex]

Answer:

Step-by-step explanation:

43.55 + 18.62 = 62.17

Answer:

A translation 8 units right and 2 units down

By definition and properties of the absolute value used on the quadratic equation we conclude that F(|- 4|) = 12.

Herein we must apply the definition of absolute value prior to evaluating the quadratic equation defined in the statement. From algebra we know that absolute values are defined as:

|x| = x, when x ≥ 0 or - x, when x < 0. (1)

Then, we apply (1) on the quadratic equation:

F(|x|) = |x|² - 2 · |x| + 4

As x < 0, by absolute value properties:

F(|x|) = x² + 2 · x + 4

F(|- 4|) = (- 4)² + 2 · (- 4) + 4

F(|- 4|) = 16 - 8 + 4

F(|- 4|) = 12

By definition and properties of the absolute value used on the quadratic equation we conclude that F(|- 4|) = 12.

To learn more on absolute values: https://brainly.com/question/1301718

#SPJ1

Answer:

first option

Step-by-step explanation:

Always remember to graph a diagram :)

Given the ratio of the profit share between the business partners Mr. Jake and Mr. Sebastian as 3:2, and the total profit as 24,000, the profit share received by Mr. Jake is 14,400.

The ratio of the shares of business partners Mr. Jake to Mr. Sebastian given to us is 3:2.

So we assume Mr. Jake's share of profit to be 3x, and Mr. Sebastian's share of profit to be 2x.

Thus, the total profit between them is 3x + 2x = 5x.

The total profit given is 24,000.

Thus, we get an equation:

5x = 24000,

or, x = 24000/5 = 4800.

Thus, the share of profit Mr. Jake receives is 3x = 3*4800 = 14400.

Thus, given the ratio of the profit share between the business partners Mr. Jake and Mr. Sebastian as 3:2, and the total profit as 24,000, the profit share received by Mr. Jake is 14,400.

Learn more about ratios at

https://brainly.com/question/9477681

#SPJ4

You can approximate e by substituting large values for (1 + 1/n)^n into the expression.

It should be noted that an expression can simply be used to illustrate the information given in a data.

In this case, you can approximate e by substituting large values for (1 + 1/n)^n into the expression.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

The reason the graph given is misleading is that there is an Inconsistent scale on the y-axis.

The y-axis is inconsistent because it went from 0 to 200 and instead of continuing to increase by 200, it begins to increase by 10.

This is misleading because the scale used has to be uniform or else it would be hard to read the data.

Find out more on misleading graphs at https://brainly.com/question/9872013.

#SPJ1

The term that describes the situation is called: stabilizing selection.

Unlike disruptive selection (diversifying selection) that tends to favor extreme traits when changes occur, stabilizing selection is defined as changes in population genetics in which extreme traits are not favored, rather, traits that are of intermediate variants are most favored and selected for.

Stabilizing selection can simply be described as the exact opposite of disruptive selection.

In the scenario given, traits of producing fewer starlings or more are extreme traits that are not favored and have reduced fitness. Intermediate variants of producing moderate number of starlings that have high fitness demonstrates the type of selection that is referred by the term called: stabilizing selection.

Learn more about stabilizing selection on:

https://brainly.com/question/3490954

#SPJ1

Answer: x = 3

Step-by-step explanation:

The equation of the line perpendicular to a horizontal line is a vertical line, which has an equation of the form x=c.

The slope in question seven is 1. Below are the solutions to the remaining questions

Transformation of an object can occur in different ways. Such as translation, rotation, enlargement of different scale factors, reflection and dilation.

Given that Blue points, blue line segments, red points, and red line segments arranged on a Cartesian coordinate plane. Here are the blue points and their coordinates. Point A: (negative nine, 3). Point B: (negative 11, 3). Point C: (negative 10, 3). Point D: (negative 10, 5). Point F: (negative 10, 4). Point E: (negative 11, 4). Here are the red points and their coordinates. Point A-1: (negative 1, 6). Point A-2: (negative 3, 4). Point B-1: (negative 2, 4). Point B-2: (negative 5, 4). Point C-2: (negative 3, 3). Point D-1: (negative 5, 5). Point D-2: (negative 5, 3). Point E-1: (negative 6, 6). Point F-1: (negative 5, 6). A semicircle that lies below its line of symmetry AB. A semicircle that lies above its line of symmetry B-2 A-2. A triangle DEF. A triangle D-1 E-1 F-1. Line segments are drawn from C to D, from A-1 to B-1, from A-2 to B-2, and from C-2 to D-2. Triangle DEF, segment CD, and the semicircle with line of symmetry BA are arranged so that they look like a boat.

1. The transformations to use on the blue segment CD to get it to match with the red segment C2D2 is ROTATION of 180° Clockwise

2.The transformations to use on the blue triangle to get it to match with the red triangle is ROTATION of 360° Clockwise Explain your movement using the coordinates of the vertices.

3.The line segments on the boat that is parallel is line B2 to A2 because it is parallel to line D2 to C2

4.The line segments on the boat is perpendicular is line BCA because they are perpendicular to line CFD and AB.

5.The line segments on the boat have a slope of 0 is line BCA because change in y axis is 0

6.The line segments on the boat have an undefined slope is line DFC because change in x axis is 0. When denominator is zero, the fraction is undefined.

7.Given that E is at (−11,4) and D is at (−10,5), the slope of ED will be  

Slope = Δy ÷ Δx

Slope = (5 - 4) ÷ (-10 + 11)

Slope = 1 ÷ 1

Slope = 1

Learn more about Transformation here: https://brainly.com/question/1462871

#SPJ1

The value of sin(∝) is -√56/15

The given parameter is:

cos(∝) = -13/15

To determine the sine, we use the following identity

sin^2(∝) = 1 - cos^2(∝)

So, we have:

sin^2(∝) = 1 - (-13/15)^2

This gives

sin^2(∝) = 1 - 169/225

Evaluate the difference

sin^2(∝) = 56/225

Take the square root of both sides

sin(∝) = ±√56/15

sin(∝) is negative in quadrant III.

So, we have:

sin(∝) = -√56/15

Hence, the value of sin(∝) is -√56/15

Read more about trigonometry function at:

https://brainly.com/question/6904750

#SPJ1

South Florida Water Management

The South Florida Water Management District is a regional governmental agency that manages the water resources in the southern half of the state, covering 16 counties from Orlando to the Florida Keys and serving a population of 9 million residents.

Water management is the control and movement of water resources to minimize damage to life and property and to maximize efficient beneficial use. Good water management of dams and levees reduces the risk of harm due to flooding.

Water management is the activity of planning, developing, distributing and optimum use of water resources under defined water polices and regulations.

Learn more about Water Management on:

https://brainly.com/question/27839756

#SPJ4

If f(x) = 2x + 3 then Δy/Δx = 2 and g(x) = 2² +3 then Δy/Δx = 2.33.

The correct answer is option A.

f(x) has a rate of change of 2

g(x) has a rate of change of 2.33

So g(x) is growing faster

Let f(x) = 2x + 3 and g(x) = 2² +3

Let, ∆y /∆x denotes the ratio of y change and x change when x change exists relatively large.

If f(x) = 2x + 3

Δy/Δx = [f(3) - f(0)]/3 - 0

f(3) [tex]= 2*3+3 = 9[/tex]

f(0) [tex]= 2*0+3 = 3[/tex]

[f(3) - f(0)]/3 - 0 = (9 - 3)/3

= 6/3 = 2

g(x) = 2² +3

Δy/Δx = [g(3) - g(0)]/3 - 0

[tex]$= (2^3 +3)-(2^0 +3)/3[/tex]

[tex](2^3 +3)-(2^0 +3) = 7[/tex]

[tex](2^3 +3)-(2^0 +3)/3[/tex] = 7/3 = 2.33

Therefore, the correct answer is option A.

f(x) has a rate of change of 2

g(x) has a rate of change of 2.33

So g(x) is growing faster

To learn more about functions refer to:

https://brainly.com/question/11388036

#SPJ9

The real rate of return formula exists utilized, and we use the data given in the exercise to the formula to estimate the real rate of return.

The real rate of return exists at 2.926%.

The real rate of return formula exists utilized, and we use the data given in the exercise to the formula to estimate the real rate of return.

The formula for the real rate of return:

R = (1+N)/(1+i) - 1

Where, N exists the nominal rate and i exists the inflation rate, as decimals.

A certificate of deposit offers a nominal interest rate of 5.5 percent annually.

This means that N = 0.055

Inflation exists 2.5 percent

i = 0.025

Substitute the values in the above equation, we get

[tex]$R = [(1+0.055)/(1+0.025)] -1[/tex]

= [1.055/1.025] - 1

= 1.02926 - 1

= 0.02926

0.02926 [tex]*[/tex] 100% = 2.926% ~ 3%

The real rate of return exists at 2.926%.

Therefore, the correct answer is option D. 3%.

To learn more about real rate of return refer to:

https://brainly.com/question/24325177

#SPJ9

Answer:

10 units and 157.84 units

Step-by-step explanation:

4

substitute t = 1 into the equation

h = - 16(1)² + 6 = - 16 + 6 = - 10

the value is negative since the ball travels down

the ball has travelled 10 units after 1 second

5

substitute t = 3.2 into the equation

h = - 16(3.2)² + 6 = - 16(10.24) + 6 = - 163.84 + 6 = - 157.84

the well is 157.84 units deep

In the context of data models, relationships among records in a hierarchical model are called Branches. This is further explained below.

Generally, The act of generating a visual representation of either a whole information system or portions of it in order to express the linkages between different data points and structures is known as data modeling.

In conclusion, When discussing data models, the connections between different records in a hierarchical structure are referred to as "Branches."

Read more about data models,

https://brainly.com/question/14866336

#SPJ1

[tex]\textbf{Heya !}[/tex]

✏[tex]\bigstar\textsf{Given:-}[/tex]✏

✏[tex]\bigstar\textsf{To\quad find:-}[/tex] ✏

▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪

✏[tex]\bigstar\textsf{Solution\quad steps:-}[/tex] ✏

If y is inversely proportional to x^2, the equation looks as shown below:-

[tex]\sf{\longmapsto{y=\cfrac{k}{x^2}}[/tex], where k -- constant of proportionality

Plug in all values

[tex]\sf{\longmapsto{2=\cfrac{k}{4^2}}[/tex] , simplifying --

[tex]\sf{\longmapsto{2=k/16}[/tex]

multiply by 16 both sides

[tex]\sf{\longmapsto 2*16=k}}[/tex]

[tex]\sf{\longmapsto{32=k}}[/tex]

▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Plug 32 into the second equation:-

[tex]\sf{\longmapsto y=\cfrac{32}{\bigg(\cfrac{1}{2}\bigg)^2}}[/tex]

simplify the complex fraction

[tex]\longmapsto\sf{y=\cfrac{32}{\cfrac{1}{4}}[/tex]

divide fractions

[tex]\sf{\longmapsto{y=\cfrac{32}{1}\div\cfrac{1}{4}}=\cfrac{32}{1}\cdot}\cfrac{4}{1}}=128}[/tex]

`hope that was helpful to u ~

Ryan's data collection is true that Ryan did a survey  he asked about qualitative data.

Given that Ryan called every school in the district to find out if they had a recycling program.

We know that there are two types of data:

Quantitative data deals with numbers and things that we can count or measure such as dimensions such as height, width, and length.

Qualitative data relating to characteristics and descriptions cannot be counted or measured, but are observable by their qualities such as smell, taste, and color.

If we ask for quantitative data, the survey will be quantitative. Data recycling means the quality of the data available.

They can ask for a yes or no answer, as in the Ryan investigation.

Hence, the correct statement about Ryan's data collection is: Ryan conducted a survey in which he asked about qualitative data.

Learn more about qualitative data from here brainly.com/question/27076284

#SPJ1

The amount of the $5200 charge that Francisco made during the first month has been paid off will be $279.53 based on the APR.

Annual percentage rate (APR) refers to the yearly interest generated by a sum that's charged to borrowers or paid to investors

For credit cards, the interest rates are typically stated as a yearly rate. This is called the annual percentage rate.

The amount of the $5200 charge that Francisco made during the first month has been paid off will be the total of the principal paid which is:

Principal paid = $47.67+$47.23+$46.80+$46.37+$45.94+$45.52

=$279.53

Therefore, the amount of the $5200 charge that Francisco made during the first month has been paid off will be $279.53.

In conclusion, the correct option is D.

Learn more about APR on:

https://brainly.com/question/16937491

#SPJ1

Complete question:

How much of the amount of the $5200 charge has Francisco paid off in the first month?

The maximum number of relative extrema of the given polynomial is; 3

When trying to find the maximum number of relative extrema of a polynomial, we usually use the formula;

Maximum number of relative extrema contained in a polynomial = degree of this polynomial - 1.

We are given the Polynomial as;

f(x) = 3x⁴ - x² + 4x - 2

Now, the degree of the Polynomial would be 4. Thus;

Maximum number of relative extrema = 4 - 1

Maximum number of relative extrema = 3

Read more about Polynomial Maximum at; https://brainly.com/question/13710820

#SPJ1

Based on the triangle inequality theorem, the statement that the given segments will form a triangle is TRUE.

If a, b, and c are lengths of a triangle, then,

a + b > c

a + c > b

b + c > a

Given the segments:

AC = 6

CB = 5

BA = 8

6 + 5 > 8 [true]

6 + 8 > 5 [true]

5 + 8 > 6 [true]

Therefore, it is true that the segments given could form a triangle.

Learn more about the triangle inequality theorem on:

https://brainly.com/question/309896

#SPJ1

Answer: [tex]\overline{EL} \cong \overline{HP}[/tex]

Step-by-step explanation:

A quadrilateral with two pairs of opposite congruent sides is a parallelogram.

The significance of 3,548 estimates the average grams of salt used in 2012.

A connection between independent variables and the dependent variable.is defined by the function.

Functions help to represent graphs and equations. A function is represented by two variables, one is dependent, and another one is an independent function.

The study discovered that the function can represent the data after the year 2012 as,

f(x) = 52.3x + 3,548

Where x is the number of years since 2012.

Hence, The significance of 3,548 estimates the average grams of salt used in 2012.

To learn more about the function here ;

brainly.com/question/12431044

#SPJ4

Answer:

Step-by-step explanation:

5*10*2=100

8*10/2=40

12*4*2=96

12*5=60

4*5*2=40

100+40+40+96+60=336cm²

The surface area for the given composite figure is 442 cm²

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given is a composite figure, composed of a triangular prism and rectangular prism, attached to each other.

We will find the surface area of the composite figure by adding surface areas of both the solids and subtracting the common base area from it.

We know that, surface area of a triangular prism and rectangular prism, are S = bh+(b1+b2+b3)l and 2(lh+wh+lw) respectively.

Therefore, SA = 12(8)+(12+10+8)5 +2(12×5+4×5+12×4) - lw

= 96+150+2(60+20+48) - 12×5

= 246+256-60

= 442

Hence, The surface area for the given composite figure is 442 cm²

For more references on surface area, click;

https://brainly.com/question/29298005

#SPJ2

Answer:

7.5 m           457.5[tex]\pi[/tex] [tex]m^{2}[/tex]

Step-by-step explanation:

First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.

The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = [tex]\frac{1}{3} \pi r^{2}h[/tex].

Original Cone = [tex]\frac{1}{3} \pi r^{2}h[/tex] = [tex]\frac{1}{3} \pi *7.5^{2}*50[/tex] = 937.5[tex]\pi[/tex]

Smaller Cone = [tex]\frac{1}{3} \pi r^{2}h[/tex] =  [tex]\frac{1}{3} \pi *6^{2}*40[/tex] = 480[tex]\pi[/tex]

Frustum = 937.5[tex]\pi[/tex] - 480[tex]\pi[/tex] = 457.5[tex]\pi[/tex]