A polynomial function has real coefficients, a leading coefficient of 1, and the zeros -6, 1, and 1. Write a polynomial function of least degree in standard form.​

[tex]7.2\:\text{ft/s}[/tex]

Step-by-step explanation:

We can apply the Pythagorean theorem here:

[tex]26^2 = x^2 + y^2\:\:\:\:\:\:\:\:\:(1)[/tex]

where x is the distance of the ladder base from the wall and y is the distance of the ladder top from the ground. Taking the time derivative of the expression above, we get

[tex]0 = 2x\dfrac{dx}{dt} + 2y\dfrac{dy}{dt}[/tex]

Solving for [tex]\frac{dx}{dt},[/tex] we get

[tex]\dfrac{dx}{dt} = -\dfrac{y}{x}\dfrac{dy}{dt}[/tex]

We can replace y by rearranging Eqn(1) such that

[tex]y = \sqrt{26^2 - x^2}[/tex]

Therefore,

[tex]\dfrac{dx}{dt} = - \dfrac{\sqrt{26^2 - x^2}}{x}\dfrac{dy}{dt}[/tex]

Since y is decreasing as the ladder is being lowered, we will assign a negative sign to [tex]\frac{dy}{dt}[/tex]. Hence,

[tex]\dfrac{dx}{dt} = - \dfrac{\sqrt{26^2 - (10)^2}}{10}(-3\:\text{ft/min})[/tex]

[tex]\:\:\:\:\:\:\:= 7.2\:\text{ft/min}[/tex]

Answer:

The selling price after the markup is $1.82

Step-by-step explanation:

$1.40 * .30 =

Multiply $1.40 times .30 (which is same as 30%)

$1.40 * .30 = $0.42

Add $1.40 and $0.42

= $1.82

Hope this helps.

Answer:

Option A, [tex]90\pi[/tex] [tex]units^{2}[/tex], is correct.

Step-by-step explanation:

The formula for the surface area of a cylinder is as follows:

A= [tex]2\pi rh+2\pi r^{2}[/tex]

We know that the radius, r, is 3, and the height, h, is 12.

r=3

h=12

Pi will be rounded to 3.14.

Thus, applying the known values to the formula:

A=[tex]2(3.14)(3)(12)+2(3.14)(3)^{2}[/tex]

A=226.08+56.52

A=282.6 [tex]units^{2}[/tex]

In accord with the given options, we must determine which one has a product of around 282.6:

A. [tex]90\pi =282.7433388[/tex]

B.[tex]72\pi =226.1946711[/tex]

C.[tex]108\pi =339.2920066[/tex]

D.[tex]45\pi =141.3716694[/tex]

Therefore, option A, [tex]90\pi units^{2}[/tex], is correct.

-15 is an element of-

B. real numbers

D. rational numbers

F. integers

A number is a mathematical object used to count, measure, and label. The original examples are natural number 1,2,3,4 and so forth.

Given number is 15.

A. natural numbers

The natural numbers are the set of all the whole numbers excluding zero. They are positive whole number.

Here, -15 is a negative number,

Hence, -15 is an not element of natural number.

B. real numbers

Real numbers are those numbers that has no imaginary part. It also include both rational and irrational number.

Since -15 has no imaginary part

Hence, -15 is an element of real number.

C. irrational numbers

An irrational number is real number that cannot be expressed as a ratio of two integers.

Here -15 can be expressed as ratio of two integers,

Hence,-15 is not an element of irrational number.

D. rational numbers
A rational number is real number that can be expressed as a ratio of two integers.

Here -15 can be expressed as ratio of two integers,

Hence, -15 is an element of rational number.

E. whole numbers

Whole numbers are positive numbers, including zero, without any decimal or fractional parts. Negative numbers are not considered "whole numbers."

Since,Negative numbers are not considered whole numbers

Hence, -15 is not an element of whole number.

F. integers

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043

Hence, -15 is an element of integers.

Hence, we conclude that,

-15 is an element of-

B. real numbers

D. rational numbers

F. integers

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Answer:

?

Step-by-step explanation

my 4th person to ask a question

Answer:

61.2%

Step-by-step explanation:

Area of the circle π(4²) = 50.265... cm²

Area of the triangle = ½(6)(6.5) = 19.5 cm²

probability of landing is white is

1 - (19.5 / 50.265) = 0.612059...

The probability that a randomly selected point within the circle falls in the white area is 61.22%.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

As we know the circle is a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

The total outcomes = The area of a circle

The area of the circle = πr²

The area of the circle = π(4)²

Because r = 4 cm

The area of the circle = 50.285 square cm

The area of the triangle = (1/2)(3+3)(4+2.5)

The area of the triangle = 19.5 square cm

The area of the white region = 50.285 - 19.5 = 30.785 square cm

Probability = 30.785/50.285

Probability = 0.6122 or

Probability = 61.22%

Thus, the probability that a randomly selected point within the circle falls in the white area is 61.22%.

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Answer:

there is no graph here

Step-by-step explanation:

Answer:

x = -7, x = 7

Step-by-step explanation:

Firstly, you are going to set the equation to 0, and then factor it.

Set equation to 0 -----> f(x)= x^2 - 49 will become x^2 - 49 = 0

Now, you're going to factor the equation.

You'll get (x-7) (x+7) upon factoring.

Thirdly, you will set (x-7)(x+7) equal to 0 and also solve for x.

Keep in mind that you'll be treating them as two separate equations

So, ----> (x-7) = 0 (x+7) = 0

When you solve for the x, you'll find out that x is equal to 7 and -7 ---> these are your zeros.

The function that has the given domain and range is: D. {(2,0), ( – 5, 1), (7,8), (6,0), ( – 7, 1)}.

A function is a relation that consists of a domain (a set of x-values) and a corresponding range (set of y-values).

Thus, each ordered pair in a function is expressed (x, y), where all values of x make up the domain, while tehri corresponding y-values make up the range of the function.

Thus, for a function given as,  {(2,0), ( – 5, 1), (7,8), (6,0), ( – 7, 1)}:

The set of x-values is, -7, -5, 2, 6, and 7. Therefore, the domain is:  { – 7, - 5, 2, 6, 7}.

The set of y-values is: 0, 1, and 8. Therefore, the range is:  {0, 1, 8).

Thus, the function that has the given domain and range is: D. {(2,0), ( – 5, 1), (7,8), (6,0), ( – 7, 1)}.

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Answer: (2,0), ( – 5, 1), (7,8), (6,0), ( – 7, 1)

Step-by-step explanation: TCB

Answer:

2,7

Step-by-step explanation:

Answer:

(-1,-2)

Step-by-step explanation:

(6 x -1) -(-2 x 5) = 4

-6 + 10 = 4

Step-by-step explanation:

Which is the first sincetist of world

Answer:

5, 7, 9, 11

or

5, 6, 10, 11.

Step-by-step explanation:

The mean is 8 so the total value of the 4 numbers =  4*8 = 32.

Range is 6 so largest number - smallest = 6

The largest value is 11 so the smallest is 11-6 = 5

The middle 2 numbers add up to 32-(11+5) = 32 - 16

= 16.

- and as there is no mode they must be 7 and 9

or 6 and 10.

Answer:

2x=5y+5

Step-by-step explanation:

Let one number be x, other y

Twice a number(2x) is five more(+5) than 5 times the other number(5y),

It means 2x > 5y

By 5 more, so

2x=5y+5

please mark this answer as brainlist

From eq(2)

[tex]\\ \sf\longmapsto x-5y=0[/tex]

[tex]\\ \sf\longmapsto x=5y\dots(3)[/tex]

[tex]\\ \sf\longmapsto 4x+3y=23[/tex]

[tex]\\ \sf\longmapsto 4(5y)+3y=23[/tex]

[tex]\\ \sf\longmapsto 20y+3y=23[/tex]

[tex]\\ \sf\longmapsto 23y=23[/tex]

[tex]\\ \sf\longmapsto y=1[/tex]

[tex]\\ \sf\longmapsto x=5y[/tex]

[tex]\\ \sf\longmapsto x=5(1)[/tex]

[tex]\\ \sf\longmapsto x=5[/tex]

Hence

(x,y)=(5,1)

Answer:

(8x²+7y²–z²+2yz+3xz–5xy) × ( 2x–3y)

= (16x³+14xy²–2z²x+4yzx+6x²z–10x²y –24yx²–21y³+3z²y–6y²z–9xzy+15xy²)

=( 16x³+29xy²–2z²x–5xyz+6x²z–34x²y–21y³+3z²y–6y²z)

[tex] = 16 {x}^{3} - 21 {y}^{3} - 2 {z}^{2}x + 3 {z}^{2} y - 5xyz - 6 {y}^{2} z + 6 {x}^{2} z - 34 {x}^{2} y+ 29x {y}^{2} [/tex]

I hope I helped you^_^

Answer:

I agree on janice because if is reliable and brilliant,she can score more than that

9514 1404 393

Answer:

  b. y = f(x -3)

Step-by-step explanation:

The translation right h and up k units is ...

  y -k = f(x -h)

Here, the red graph is translated right 3 and up 0, so the translated function is ...

  y = f(x -3)

_____

Additional comment

You can check this if you like by listing a couple of corresponding points:

  y = f(x)

  1 = f(-3) . . . . left-most point on black graph.

The corresponding point on the red graph is (0, 1). Putting this into the equation (b), we get ...

  1 = f(0 -3) = f(-3) . . . . . correct value for f(-3)

Answer:

Hello,

answer C

Step-by-step explanation:

[tex]\begin{array}{|c|c|c|c|}x&y&x^2&3x^2\\---&---&---&---\\1&3&1^2&3*1^2=3\\2&12&2^2&3*2^2=12\\3&27&3^2&3*3^2=27\\4&48&14^2&3*4^2=48\\5&75&5^2&3*5^2=75\\\end{array}\\\\\\\boxed{y=3x^2\ the\ function\ is\ quadratic.}[/tex]

Answer:

17.47, 103/6, 16.43, 16 1/3

Step-by-step explanation:

Answer:

17.47, 103/6, 16.43. 16 1/3

Step-by-step explanation:

Answer:

100091

Step-by-step explanation:

Answer:

The answer closest to 36.10425. So 36.10 or 36.1

Step-by-step explanation:

x = 44.85 ( 1 - 0.195) = 36.10425

If this helps, it would be nice if 5 stars are given, and a brainliest :)

The amount of the bill before adding the amount of tip is evaluated being of $37.53 approx.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we can assume the amount of bill without tip being A.

Then, as given, Payton gave 19.5% tip (tip is given assumingly on A), then:

Total price of the bill = Bill amount before tip + Tip

44.85 = A + (19.5 % of A)

(we don't write symbols like of currency generally in equations, and understand it from context(which is dollars here))

44.85 = A + (19.5 % of A)

or

[tex]44.85 = A + \dfrac{A}{100} \times 19.5\\\\\text{Multiplying 100 on both the sides}\\\\4485 = 100A + 19.5A\\4485 = 119.5A\\\\\text{Dividing both the sides by 119.5}\\\\\dfrac{4485}{119.5} = A\\\\37.53 \approx A\\\\A \approx 37.53 \: \rm \text{(in dollars)}[/tex]

Thus, the amount of the bill before adding the amount of tip is evaluated being of $37.53 approx.

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Answer:

Hello,

Step-by-step explanation:

I suppose the question is to solve the equation.

[tex]Remember:\\\\sin(a)-sin(b)=2cos(\dfrac{a+b}{2} )*sin(\dfrac{a-b}{2} )\\cos(a)-cos(b)=2sin(\dfrac{a+b}{2} )*cos(\dfrac{b-a}{2} )\\\\\\sin(2a)+cos(4a)=cos(2a)+sin(4a)\\\\\Longleftrightarrow sin(4a)-sin(2a)=cos(4a)-cos(2a)\\\\\Longleftrightarrow 2cos(\dfrac{4a+2a}{2})*sin(\dfrac{4a-2a}{2})=2cos(\dfrac{4a+2a}{2})*sin(\dfrac{2a-4a}{2})\\\\\Longleftrightarrow cos(3a)*sin(a)=cos(3a)*(-sin(a))\\\\\Longleftrightarrow 2cos(3a)*sin(a)=0\\\\[/tex]

[tex]sin (a)=0\ or\ cos(3a)=0\\\\\boxed{k\in\ \mathbb{Z}\ : a=k*\pi\ or\ a=\dfrac{(2k+1)*\pi}{2} }\\[/tex]

Answer:

50.854 seconds

Step-by-step explanation:

24.98 + 25.874 = 50.854 seconds

Answer:

weight =48.71228786pounds

Step-by-step explanation:

[tex]w = \frac{k}{ {d}^{2} } \\ 50 = \frac{k}{ {3960}^{2} } \\ \\ k = 50 \times {3960}^{2} \\ k = 50 \times 15681600 \\ k = 784080000 \\ \\ w = \frac{784080000}{ {d}^{2} } \\ w = \frac{784080000}{16120225} \\ \\ w = 48.71228786 \\ w = 48.7pounds[/tex]

If a body weighs 50 pounds when it is 3,960 miles from Earth's center, it would weigh approximately 48.547 pounds if it were 4,015 miles from Earth's center, according to the inverse square law formula.

We know the inverse square law formula:

W₁ / W₂ = D²₂ / D²₁

Where W₁ is the weight of the body at the initial distance D₁, and W₂ is the weight at the final distance D₂.

So we have,

W₁ = 50

D₁  = 3,960

D₂  = 4015

We know that the body weighs 50 pounds when it is 3,960 miles from Earth's center,

So we can plug in those values as follows:

50 / W₂ = (4,015)²/ (3,960)²

To solve for W₂, we can cross-multiply and simplify as follows:

W₂ = 50 x (3,960)² / (4,015)²

W₂ = 50 x 15,681,600 / 16,120,225

W₂ = 48.547 pounds (rounded to three decimal places)

Therefore, if the body were 4,015 miles from Earth's center, it would weigh approximately 48.547 pounds.

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Answer:

The last option

V = (-1.5,3)

other options dont lie where V is exact

V is only Exact at (-1.5,3)

Answer:

Step-by-step explanation: