Let f (x) be a polynomial function with a zero of multiplicity of 1 at 2 and a zero of multiplicity of 2 at 1. Let g(x) be the radical function g of x equals the cube root of x minus 2 Part A: Using the Factor Theorem, determine the polynomial function f (x) in expanded form. Show all necessary calculations. (5 points) Part B: Let h (x) be the piecewise defined function of h of x is the piecewise function of f of x if x is less than 0 and g of x if x is greater than or equal to 0 Are there any breaks in the domain of h (x)? Explain why or why not. (5 points)

The equation of the inverse function of the function f(x) = x + 5 is f'1(x) = x - 5

Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function

The function f(x) is given as

f(x) = x + 5

As a general rule, we start by writing f(x) as a variable (say f(x) = y).

So, the equation of the function becomes

y = x + 5

The next step is to switch/swap the positions of x and y in the above equation y = x + 5

The equation becomes

x = y + 5

The next step is to make y the subject of the formula in the above equation x = y + 5

The equation becomes

y = x - 5

This is done by subtracting 5 from both sides of the equation.

So, we have:

y = x - 5

Express as an inverse function

f'1(x) = x - 5

Hence, the inverse function of the function f(x) = x + 5 is f'1(x) = x - 5

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Answer:

Domain is 1 and 7 and range is -5and -4

Step-by-step explanation:

because domain is a first group element and range is a second element of a set

Answer:

-(10/7)

Step-by-step explanation:

See attached graphic. The slope of the Green Line is cut off in the problem photo, but can be calculated from the graph to find the slope of the Red Line. The answer options are on drugs; pick the one that looks closest.

Answer:

-4/3

Step-by-step explanation:

Answer:

There are 7 two bed bedroom apartments.

Step-by-step explanation:

Solution Given:

let the one bedroom apartment be x and two bedroom apartment be y.

By the question we can make an equation as

x+y=12

or y=12-x............................[1]

Again:

$360x+$450y=$4,950

Now substituting value of y, we get

$360x+$450(12-x)=$4,950

Opening Bracket

$360x+$5400-$450x=$,4,950

solving equation

-90x=-450

dividing both side by -90,we get

x=5

again,

substituting value of x in equation 1,we get

y=12-5=7 two bed bedroom apartments.

Let, x represents the number of one bedrooms and 12 - x represents the number of two bedrooms.

According to the question,

[tex]360x + 450(12 - x) = 4950[/tex]

[tex]360x + 5400 - 450x = 4950[/tex]

[tex]5400 - 4950 = 450x - 360x[/tex]

[tex]450 = 90x[/tex]

[tex] \frac{450}{90} = x[/tex]

[tex]5 = x[/tex]

Therefore, one bedrooms = x = 5

For number of two bedrooms which is equal to 12 - x

= 12 - 5

= 7

So your required answer is 7

Answer:  the average rate of change of the function is 23.

Step-by-step explanation:

[tex]h(x)=x^2-10x+21\ \ \ \ \ -1\leq x\leq 10 \ \ \ \ A(x)=?\\\displaystyle\\A(x)=\frac{\Delta y}{\Delta x}=\frac{h(x-g)-h(x)}{g} \\g=x_{max}-x_{min}\\g=10-(-1)\\g=10+1\\g=11.\ \ \ \ \ \Rightarrow\\A(x)=\frac{(x-11)^2-10*(x-11)+21-(x^2-10x+21)}{11} \\A(x)=\frac{x^2-22x+121-10x+110+21-x^2+10x-21}{11} \\A(x)=\frac{231-22x}{11}\\ A(x)=\frac{11*(21-2x)}{11}\\ A(x)=21-2x.\\x=x_{min}\ \ \ \ \ \Rightarrow\\A(x)=21-2*(-1)\\A(x)=21+2\\A(x)=23.[/tex]

3435 were children visited the India gate.

What is a linear equation in math?

Given,

             men = 1265

            women = 1150

Total women and men -

        men + women = 2415

         = 5450-2415  ⇒ 3435

Therefore,  3435 were children visited the India gate.

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Answer:

D.= √29

Step-by-step explanation:

The distance between the two complex numbers,

Z₁=a+bi and Z₂=c+di in the complex plane is

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

In the Cartesian plane, the distance between, one point and other is (x₁,y₁) and (x₂,y₂) is the distance formula is

[tex]d = \sqrt{(X₂-X₁)² + (Y₂-Y₁)²} [/tex]

To find the distance between the two complex numbers using the formula

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

where,

[tex]d = \sqrt{(a - b) {}^{2} + (d - b) {}^{2} } \\ d = \sqrt{(6 - 4) {}^{2} + ( - 2 - 3) {}^{2} } \\ d = \sqrt{(2) {}^{2} + ( - 5) {}^{2} } \\ d = \sqrt{4 + 25} = \sqrt{29 \\ } [/tex]

The Area of the composite figure as shown in the image below is: 105.57 km².

Referring to the diagram given below, the shape can be decomposed into one rectangle, one square, and one quarter circle.

The area of the composite figure = area of rectangle + area of square + area of quarter circle.

Area of the Rectangle = length × width

Length = 12 km

Width = 7 km

Area of the Rectangle = 12 × 7

Area of the Rectangle = 84 km²

Area of the square = (s)²

s = 3 km

Area of the square = 3²

Area of the Rectangle = 9 km²

Area of the quarter circle = 1/4(πr²)

r = 4 km

Area of the quarter circle = 1/4(π × 4²)

Area of the quarter circle = 12.57 km²

Area of the composite figure = 84 + 9 + 12.57

Area of the composite figure = 105.57 km².

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The quarterly annuity payment is $582.46.

What is an ordinary annuity?

An ordinary annuity in case of investment is the one that pays its end-of-the period cash flows rather than at the beginning as it is case of annuity due.

The applicable formula in this case is the present value formula of an ordinary annuity as shown below:

PV=quarterly payment*(1-(1+r)^-N/r

PV=initial investment=$10,000

quarterly payment=unknown(assume it is X)

r=quarterly interest rate=1.5%

N=number of quarterly payments in 5 years=5*4=20(there are 4 quarterly payments in a year)

$10,000=X*(1-(1+1.5%)^-20/1.5%

$10,000=X*(1-(1.015)^-20/0.015

$10,000=X*(1-0.742470418223773)/0.015

$10,000=X*0.257529581776227/0.015

X=$10,000/(0.257529581776227/0.015)

X=quarterly payment=$582.46

Note that the unknown in this case is the annuity payment, the present value can also be the unknown as well.

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the average pay per year is $4 million

Answer:

The average is 4millon

Step-by-step explanation:

because 16 millon divide by 4 =4

ez

Answer: C

Step-by-step explanation:

A function only exists if each x-value has only one possible y-value.

C is the only function because each x-value has only one y-value.

The other answer choices have x-values that have multiple y-values. In answer choice A, it has (2,9) and (2,8). In answer choice B, the set has (1, 0) and (1,2). And in answer D, it has (1,3) and (1,2)

Answer + Step-by-step explanation:

let f be the relation that we are studying.

f is a function if it associates a unique output (number) to each input (number) .

A. {(2,9), (2,8), (-3,7), (-3,6))

Since f(-3) = 7 and f(-3) = 6

Then

f associates -3 to two different outputs 7 and 6.

Then

f cannot be a function.

B. ((-4,3), (1,0), (1,2), (2,3)}

Since f(1) = 0 and f(1) = 2

Then

f cannot be a function.

C. {(2,1), (4,2), (6,3), (8,4))

f is a function.

D. {(1,2), (-2,3), (1,3), (-2,2)

Since f(-2) = 3 and f(-2) = 2

Then

f cannot be a function.

Step-by-step explanation:

-3(x+8)=-21

open the bracket

-3x-24=-21

-3x=-21+24

-3x=3

x=-3/3

x=-1

Angles in quadrilateral add to 360

108 +67 +10 =185

4x + 3x = 7x

185 + 7x = 360

- 185

7x. = 175

÷ 7

x = 25

Check:

4x25 = 100

100 + 67 + 108 = 275

275 + (3x25) = 350 + extra 10 is 360

Hope this helps!

Inequality can be used to find the domain of f(x) is (B) 4x+9 greater-than-or-equal-to 0.

To find the domain:

Therefore, inequality can be used to find the domain of f(x) is (B) 4x+9 greater-than-or-equal-to 0.

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The correct question is given below:

If f (x) = start root 4 x 9 enroot 2, which inequality can be used to find the domain of f(x)?

(A) startroot 4 x endroot greater-than-or-equal-to 0                                        

(B) 4x+9 greater-than-or-equal-to 0

(C) 4 x greater-than-or-equal-to 0

(D) startroot 4 x 9 endroot 2 greater-than-or-equal-to 0

Answer:

(B)- 4X+9 greater than or equal to 0

Step-by-step explanation:

The answer is 40

you just times 23 by the number of photocopies you need with is 20

so 23x20 which is 460

500-460 is 40

The number of sheets of papers remain unused are 40.

Given that, Jean loads a ream of paper 500 sheets into the tray of her photocopier she has 23 sheets and need 20 copies each sheet.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Number of sheets used = 23×20

= 460

Remaining sheets = 500-460

= 40

Therefore, the number of sheets of papers remain unused are 40.

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Expanding the digits, we have

[tex]3205_6 \equiv 3\cdot6^3 + 2\cdot6^2 + 0\cdot6^1 + 5\cdot6^0 = \boxed{725}[/tex]

Answer:

Step-by-step explanation:

3. A line of best fit can be roughly determined using an eyeball method by drawing a straight line on a scatter plot so that the number of points above the line and below the line is about equal (and the line passes through as many points as possible). This will help me to see weather or not it is positive or negative.3

The total volume of silo is  = 116.5[tex]{~m}^{3}[/tex]

The correct option is C

Any arrangement of points, lines, or planes constitutes a geometric figure. Depending on their dimensions, geometric figures can be categorized as either a space figure, a plane figure, a line, a line segment, a ray, or a point.

Any object's surface area is the space that the object's surface takes up on a specific area or region. Volume, however, refers to how much room a thing has.

Given data:

Radius =4.4/2

                   =2.2

height of cylinder = 6.2

to find :

total volume of silo =  volume of cylinder + volume of hemisphere

                                  [tex]\begin{aligned}&=\pi r^{2} h+\frac{2}{3} \pi r^{3} \\&=\pi r^{2}\left(h+\frac{2}{3} r\right) \\&=\frac{22}{7} \times(2.2)^{2}\left[6.2+\frac{2 \times 2.2}{3}\right]\end{aligned}[/tex]

                                   = 116.5[tex]m^2[/tex]

The total volume of silo is = 116.5[tex]m^2[/tex]

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I understand that the question you are looking for is:

A grain silo is composed of a cylinder and a What is the approximate total volume of the silo? Use hemisphere. The diameter is 4.4 meters. The height of  3.41 for [tex]\pi[/tex] and round the answer to the nearest tenth of its cylindrical portion is  6.2 meters. a cubic meter.

a. 37.1[tex]m^2[/tex]

b. 71.9 [tex]m^2[/tex]

c.116.5 [tex]m^2[/tex]

d. 130.8[tex]m^2[/tex]

Answer:

D 0.0353

Step-by-step explanation:

a= 0.05. p= 0.65. n=700

S N P = 700 × 065 = 45575

1 n ( 1 - p ) = 700× ( 1 - 0.65 ) = 24575

get the sample is big ,. p~ N ( π. √ π ( 1-π ) p - π

-----------. ------- ~ ( o. 1

n Ñ 1 ~ñ

the margin of error ∆ = Z a

-----. =. √ π ( 1 - π )

2 --------

n

according to the standard normal distribution,

Z d

---. = zo.o25 = 1.96

2

∆=1.96×√p ( 1 - p ). =. 1.96 × √ 0.65× ( 1 - 65)

---------. ---------

π. 700

= 0.0353

The number that best represents the slope of the graphed line that is given is: -4.

The slope of a line is the ratio of the vertical distance to the horizontal distance across the line. It is calculated using the formula:

Slope (m) = rise/run = change in y / change in x = (y2 - y1)/(x2 - x1)

Given the two points on a coordinate plane as shown in the mage below, let:

(x1, y1) represent (0, 2)

(x2, y2) represent (0.5, 0)

Plug in the values

Slope (m) = change in y / change in x = (0 - 2) / (0.5 - 0)

Slope (m) = -2/0.5

Slope (m) = -4

Therefore, we can state that, the number that best represents the slope of the graphed line that is given is: -4.

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The actual answer is C.1/2

chust mee am a doktor

Check the picture below.

Step-by-step explanation:

2a -1.28b +2.8 for simplification.

Answer:

176 square feet

Step-by-step explanation:

add the areas of the rectangle and triangle

rectangle area is

16 times 8 which is

128

rectangle area is

1/2 times 12 times 8 which is

48

then add them

128 plus 48 is

176 square feet

The equation of P(e₁ ∪ e₂) describes the condition that the mutually exclusive event stands one of the events occurs, or both occur.

Mutually Exclusive events are described as in probability the particular addition rule exists practical when two occurrences exist incompatible with one another. It claims that the probability of either event exists equivalent to the probability of each possibility separately.

If e₁ and e₂ stand said to be mutually exclusive events then the probability of an event e₁ happening or the probability of event e₂ occurring exists given as P(e₁) + P(e₂) :

P(e₁ ∪ e₂) = P(e₁) + P(e₂)

Therefore, the equation of P(e₁ ∪ e₂) describes the condition that the mutually exclusive event stands for one of the events that happens, or both happen.

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Answer:

67

Step-by-step explanation:

All triangles have three angles. The sum of the three angles should equal up to 180 degrees.

108-104-37= 67

The time in seconds that it took the ball to travel would be = 0.25 seconds.

Speed can be defined as the distance covered by an object per unit time.

The speed used to kick the soccer off the ground = 56 feet per second.

The height equation= −16t² + 56t

The time= ?

The formula for speed = distance/time

56= −16t² + 56t/t

56t = −16t² + 56t/t

−16t² = -56t + 56t

−16t² = 0

Make t the subject formula,

t = √1/16

t = 0.25 seconds.

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Based on the density and the given parameters, the density of the sheet of glass in kg per m cubed is 2500 kg/m cubed

The density of the sheet of glass  is given as

Density = 2.5g/cm cubed

Start by converting grams (g) to kilogram (kg)

This is done by dividing 2.5 by 1000

So, we have:

Density = 2.5/1000 kg/cm cubed

Evaluate the quotient

Density = 0.0025 kg/cm cubed

Next, we then convert cm cubed (cm^3) to meter cubed (m^3)

This is done by dividing the volume by 1000000

So, we have:

Density = 0.0025 kg/(1/1000000) m cubed

Express as product

Density = 1000000 * 0.0025 kg/m cubed

Evaluate the product

Density = 2500 kg/m cubed

Based on the density and the given parameters, the density of the sheet of glass in kg per m cubed is 2500 kg/m cubed

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Answer:

See below

Step-by-step explanation:

Are you wanting to convert density of   gm/ cm^3   to    kg/m^3 ??

    there are 100 x 100 x 100  cm^3 =  1,000,000  cm^3/ m^3

2.5 gm / cm^3   *  1 000 000 cm^3 / m^3   =  2, 500 000 gm / m^3

   now 1 kg is   1000 gm

2, 500 000 gm / m^3   *  1 kg / 1000 gm  = 2500 kg / m^3

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

120:220

2 will go into 120 60 times and go into 220 110 times. So your answer comes down to;

60:110

10 will go into 60 6 times and go into 110 11 times So your answer comes down to;

6:11

That is your final answer 6:11

Answer: 6

Step-by-step explanation: Since we substitute the b with 7, 10-7= 3. Since the 2 is next to the parentheses, we multiply 3 by 2, getting 6.

Hey there!

2(10 - b)

= 2(10 - 7)

= 2(10) + 2(-7)

= 20 - 14

= 6

OR

2(10 - b)

= 2(10 - 7)

= 2(3)

= 6

Therefore, your answer should be: 6

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)