A bolynomial function has zeros √2, 4, and 6i. What is the minimum degree of the
polynomial function?
A. 6
B. 5
C. 4
D. 3

the vertex of the quadratic  function is (4,-25).

A quadratic function is a polynomial function with one or more variables where the highest exponent of the variable is 2. Due to the fact that the biggest degree term in a quadratic function is of second degree, it is sometimes referred to as the polynomial of degree two. It carries out algebraic functions.

examples of quadratic functions are:

f(x)=x²-8x-9

x-coordinate of vertex:

x=-b/2a

Putting the values, we get

x=-(-8)/2=4

Y-coordinate vertex:

y(4)=16-32-9=-16-9=-25

Vertex(4,-25)

Hence, the vertex of the function =(4,-25).

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Since the slope has to be 7:

The statement f⁻¹(x) has a y-intercept of (0, –36) and f⁻¹(x) has a range of all real numbers options third and fifth are correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The question is: Consider the function f(x) = (-2/3)x - 24  Which conclusions can be drawn about f⁻¹(x) Select two options:

f⁻¹(x) has a slope of -2/3

f⁻¹(x) has a restricted domain.

f⁻¹(x) has a y-intercept of (0, –36).

f⁻¹(x) has an x-intercept of (–36, 0).

f⁻¹(x) has a range of all real numbers.

f(x) = (-2/3)x - 24

To find the inverse of a function:

interchange the x and y

x = (-2/3)y - 24

y = (-3/2)(x + 24)

y = (-3/2)x - 36

The slope of a function f⁻¹(x) is -3/2

From the graph, we can see the y-intercept is (0, -36) and the range will be all real numbers.

Thus, the statement f⁻¹(x) has a y-intercept of (0, –36) and f⁻¹(x) has a range of all real numbers options third and fifth are correct.

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Answer:

D and  E

Step-by-step explanation:

did the test

Answer:

a/2 + b unidades

Step-by-step explanation:

Mi primera lengua es ingles (tienes paciencia por favor). Se da que la parte inferior es a/2 unidades. La parte anaranjada tiene un lado que es b/2, entonces todos los lados son b/2 tambien. Entonces el lado del derecho es b/2. La izquierda es b/2 tambien ( se da eso). Entonces el perimetro del triangulo amarillo es a/2 + b/2 + b/2 = a/2 + b unidades.

The evaluated function values are g(-3) = 11, g(5) = 11, g(a) = 11 and g(a+h) = 11

A composite function is a function that results from combining two or more functions. It is created by using the output of one function as the input of another function.

The function g(x) is defined as g(x) = 11, which means that the output of the function is always 11, no matter what value of x is inputted.

i.e. the function g(x) = 11 always returns the value 11, regardless of the input.

Therefore, we have:

g(-3) = 11

g(5) = 11

g(a) = 11

g(a+h) = 11

So, regardless of the value of a or h, the function g(x) will always return 11.

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Answer:

Step-by-step explanation:

0.0075 (rounded to the nearest hundredth)

The expression 2 - 5(x - 1) is a linear expression

From the question, we have the following parameters that can be used in our computation:

2 - 5(x - 1)

The general rule is that

Using the above as a guide, we have the following:

2 - 5(x - 1) is a linear expression

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I don't know what you mean by "critical points". However, I'm going to list all the important points in this equation-

x intercepts: (-1 ,0) and (5,0)

vertex: (2,-9)

y intercept: (0,-5)

Hope this helps!

Answer:

300x.03 all divided by 4

Step-by-step explanation:

In a circle H with a measure of angle ∠GKJ = 27°. Then the measure of angle ∠GHJ will be 54°

It is the center of a line drawn from the center to an equidistant location. The space between the center and the periphery of a circle is measured in radius.

In a circle H with a measure of angle ∠GKJ = 27°.

Then the measure of angle ∠GHJ will be

We know that a chord's slope in the center is double that of the chord's slope at the perimeter.

Then we have

∠GHJ = 2 x ∠GKJ

∠GHJ = 2 x 27°

∠GHJ = 54°

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The four consecutive odd integers are -1, 1, 3, and 5. The sum of these four integers is: 8n C

Consecutive numbers are numbers that follow each other in order.

Let's call the first of the 4 consecutive odd integers "x". Since they are consecutive and odd, we can use the formula:

x = 2n - 3

where

The next three integers in the sequence will be x + 2, x + 4, and x + 6. The average of the last two integers, x + 4 and x + 6, is equal to 2n, so:

(x + 4 + x + 6) / 2 = 2n

2x + 10 = 4n

x = 2n - 5

Since we know that x = 2n - 3, we can equate these expressions for x and solve for n:

2n - 3 = 2n - 5

2 = 2n

n = 1

Now that we know n = 1, we can find x:

x = 2n - 3

x = 2 * 1 - 3

x = -1

So the four consecutive odd integers are -1, 1, 3, and 5. The sum of these four integers is:

-1 + 1 + 3 + 5 = 8

Therefore, the answer is (C) 8n.

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The measure of the hypotenuse of the right-angle triangle is 53.21 feet.

Given that:

Perpendicular, P = 50 feet

Angle, Ф = 70°

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The measure of the hypotenuse of the right-angle triangle is calculated as,

sinФ = P/H

sin 70° = 50 / x

x = 53.21 feet

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Answer: -5(8+3) = -55

Step-by-step explanation: a = 8

Answer: input values for the function.

Step-by-step explanation:

The circumference is 12.56

Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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Step-by-step explanation:

2x+15=-3x

2x-2x+15=-3x-2x

15 =-5x

\( \frac{15}{ - 5} = \frac{ - 5}{ - 5} \)

\( - 3 = x\)

Answer:

-c. something but I need brainlist

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;

C² = a²+b²

Where:

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Answer: D

Step-by-step explanation:

Based on the information, the hedgehogs have made the better offer

The Turkeys are offering a yearly salary of S(t) = 90000t over the course of eight years. To calculate the present value of each payment, an equation is used:

PV = S(t) * e^(-rt)

The variable "r" denotes a continuous interest rate of 0.03. "t" equals the years from t=0 to the time of payment. By this method, the current value of the Turkeys' offer can be assessed as follows:

PV(Turkeys) = ∫[0,8] 90000t * e^(-0.03t) dt

= 736,918.63

Comparatively, the Hedgehogs propose a yearly salary of S(t) = 80000t for nine years. Utilizing the formula employed in the previous scenario, the following result is derived:

PV(Hedgehogs) = ∫[0,9] 80000t * e^(-0.03t) dt

= 753,472.49

Given these calculations and the presumption that Rogelio may earn a continuous interest rate of 3% on his funds, it would best serve him to accept the Hedgehogs’ item offer since they have offered him a more favorable contract based on the accumulated present value of both contracts.

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Data:

Score: 95

Sustracted: 20%

You take the scre 95 as the 100%, then you use a rule of three to know how much Ms. Crysel substracted:

Answer:

Step-by-step explanation:

                           \(\displaystyle\\\boxed {M_{AB}=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2} ) }\)

1) E(-5,-3)      F(3,7)      M(x,y)=?

\(\displaystyle\\M(x,y)=(\frac{-5+3}{2} ),\frac{-3+7}{2})\\\\ M(x,y)=(\frac{-2}{2},\frac{4}{2} )\\\\ M(x,y)=(-1,2)\\\\Thus, \ M(-1,2)\)

2) L(-8,11)     N(-3,12)      M(x,y)=?

\(\displaystyle\\M(x,y)=(\frac{-8+(-3)}{2} ,\frac{11+12}{2} )\\\\M(x,y)=(\frac{-11}{2},\frac{23}{2})\\\\ M(x,y)= (-5.5,11.5)\\\\Thus, M(-5.5,11.5)\)

3) A(-4,6)    B(2,4)    M(x,y)=?

\(\displaystyle\\M(x,y)=(\frac{-4+2}{2},\frac{6+4}{2})\\\\ M(x,y)=(\frac{-2}{2},\frac{10}{2})\\\\ M(x,y)=(-1,5)\\\\ Thus,\ M(-1,5)\)

Answer:

Width = 5.5ft, Length = 8ft.

Step-by-step explanation:

Area of Rectangle = Length x Width

Let w be the Width of the rectangle.

From the information given from the question,

Length = 2w - 3 (3ft less than twice the width)

Area of Rectangle = \((2w-3)w\\=2w^{2} -3w\) = 44

Now we can solve for w to find the dimensions.

\(2w^{2} -3w-44=0\) (Quadratic Equations)

We can use the Quadratic formula to find w.

\(w=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}\)

Since a = 2, b = -3 and c = -44,

\(w=\frac{-(-3)+/-\sqrt{(-3)^{2}-4(2)(-44) } }{2(2)} \\= 5.5 or -4 (reject)\)

We reject negative values here.

Therefore, the width of the Rectangle = 5.5ft

While the length of the rectangle = 2(5.5) - 3 = 11 - 3 = 8ft

It takes 1.7 x 10 ^4 for light from the sun to reach the comet.

The number is written in the form  \(a \times 10^b\) where we have \(1 \leq a < 10\)

Scientific notations have some of the profits as:

Better readability due to compact representation

Its value in terms of the power of 10 is known, which helps in the easy comparison of quantities differing by a large value.

A comet is about  \(5.1 \times 10 ^9\) km from the sun.

Light travels at about \(3.0 \times 10 ^5\) km per second.

\(\dfrac{5.1 \times 10 ^9}{3.0 \times 10 ^5}\)

= \(1.7 \times 10 ^4\)

Hence, It takes 1.7 x 10 ^4 for light from the sun to reach the comet.

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Answer:

1.2.05 2.0.919 3 sf

Step-by-step explanation:

1. cos 70=x/6

6 cos 70=x

x=2.05

2.cos 45=x/1.3

1.3 cos 45=x

x=0.919

3.cant see ;-;

The z-score of the value is -0.79

The given parameters are

Value = 86

Mean = 101

Standard deviation = 19

The z-score of the value is calculated using

z= (Value - Mean)/Standard deviation

This gives

z = (86 - 101)/19

Evaluate

z = -0.79

Hence, the z-score of the value is -0.79

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