The following table of values represents a...

A) Linear Function

B) Quadratic Function

C) Exponential Function

D) Rational Function

Answer:

[tex] log(2x) = {2}^{x} \\ ln \: \times log = ln( {2}^{x} ) \\ 1 = x ln(2) \\ x = \frac{1}{ ln(2) } [/tex]

Answer: The graph of the equation y = x + 6 looks like this! (see attached screenshot)

Step-by-step explanation:

I graphed using Desmos, an online graphing calculator.

The graph of the linear function y = x + 6 is attached below showing a

y - intercept of 6.

The graph of a linear equation is a straight line on a Cartesian coordinate system. A linear equation can be represented in the form       y = mx + b, where m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).

The graph of a linear equation can have different orientations and slopes, depending on the values of m and b. It can be upward-sloping (positive slope), downward-sloping (negative slope), or horizontal (slope of 0). The steepness of the line is determined by the magnitude of the slope.

Using a graphing calculator, the slope of the equation is 1 and the y-intercept is 6.

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Answer:

1. 14ftx23ft=322ft

2. 26inX18in= 468in

Step-by-step explanation:

Answer:

152 miles

Step-by-step explanation:

Ratios:

[tex]\frac{40}{2} =\frac{x}{7.6} \\\\2x=304\\x=152[/tex]

Answer:

Yes you are correct good job:D

Step-by-step explanation:

Answer:

1. 48$

2. 72$

3. Positive

4. Every 5 hours, his earnings increase by 24$.

Step-by-step explanation:

All information gathered is from looking at the graph :)

Answer:

it would be (10)- (4)

Step-by-step explanation:

The expression for the volume of the shaded part of the sphere is (4/3)π(10)³, or 4,188.7902 cubic feet.

Diameter is a straight line passing through the centre of a circle or other safe, or the length of first as millimetre centimetre inches and feet.

here, we have,

The expression that represents the volume of the shaded part of the sphere is (4/3)πr³,

where r is the radius of the sphere,

which is 10 feet (1/2 the diameter).

Therefore, the expression for the volume of the shaded part of the sphere is

(4/3)π(10)³,

or 4,188.7902 cubic feet.

Hence, The expression for the volume of the shaded part of the sphere is (4/3)π(10)³, or 4,188.7902 cubic feet.

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Answer:

yes it is porportional!

Step-by-step explanation:

Because if you divide the y values by their own x value you will always get the same number which is 12. Meaning that, that is the constant.

Answer:

? where's the question

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

sorry if it's wrong

Answer:

answer is zero

Step-by-step explanation:

Answer:

3.14159265359 and so on

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

8+(6*9)

8+54

62

8 + 6 x 9 = 62

hope this helps

The situation can be modeled by an exponential decay function with a percent change of -10%, option A is correct.

percentage, a relative value indicating hundredth parts of any quantity.

The ratio between the value after 1 year and the value after 0 years is 18,000/20,000 = 0.9.

The ratio between the value after 2 years and the value after 1 year is 16,200/18,000 = 0.9.

The ratio between the value after 3 years and the value after 2 years is 14,580/16,200 = 0.9.

Since the ratio between consecutive values is constant and less than 1, we can conclude that the situation can be modeled by an exponential decay function.

r = (18,000/20,000) - 1 = -0.1

So the percent change per year is -10%, which means that statement A is true.

Hence, the situation can be modeled by an exponential decay function with a percent change of -10%, option A is correct.

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Answer:

it is 2013.97849462

Step-by-step explanation: hope this helps :)

Answer:

40 students participate only in music.

Step-by-step explanation:

When you add the two groups together, you get 50 + 60 = 110.  But there are only 100 students, so 10 of them must have been counted twice (they do music AND sports.  Put 10 in the middle part of the Venn diagram (image2).

Subtract 10 from each of the two groups to find the number of students taking only one of the two subjects.  For example, there are 50 music students, but 10 of them also do sports, so 50 - 10 = 40 students do only music.  (There are 60 - 10 = 50 students who participate only in sports.) (image3).

Answer:

The area of this circle is 50.27

Step-by-step explanation:

The area of this circle is 50.3 units² or 16π

The incircle is defined as the largest circle that can be made in a triangle and is tangent to each side of the triangle.

The area of the circle is the product of the pie and the square of the radius.

The area of the circle = πr²

We are given that radius of the circle as r = 4.

Then we know that

Area = πr²

Substitute the values r = 4

π = 3.14

Area = 3.14(4)²

Area = 3.14 × 16

Area = 50.3

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Answer:

hi

Step-by-step explanation:

Respuesta:

1) (-5,2)

2) [tex](-\infty,-2]U(\frac{1}{2},\infty)[/tex]

Explicación paso a paso:

1)

[tex]x^{2}<10-3x[/tex]

Para comenzar este problema, debemos moverlo todo al lado izquierdo de la inecuación, por lo que obtenemos:

[tex]x^{2}+3x-10<0[/tex]

Ahora podemos factorizar el lado izquierdo para obtener:

[tex](x+5)(x-2)<0[/tex]

Ahora podemos cambiar el símbolo < por un = para encontrar los valores de x en los cuales la inecuación es igual a cero.

(x+5)(x-2)=0

Y luego despejamos x.

x+5=0

x=-5

y

x-2=0

x=2

Ahora construimos nuestros intervalos posibles.

[tex](-\infty,-5)[/tex]

(-5,2)

y

[tex](2,\infty)[/tex]

Y escogemos algunos valores de prueba. Estos nos ayudarán a determinar si cada intervalo hace que la inecuación sea verdadera o falsa.

[tex](-\infty,-5)[/tex]

Para este intervalo escojamos -6 y evaluemoslo en la inecuación.

(x+5)(x-2)<0

(-6+5)(-6-2)<0

(-1)(-8)<0

8<0

falso, así que este intervalo no es parte de nuestra respuesta.

(-5,2)

para este escojamos x=0 y probémoslo en la inecuación.

(x+5)(x-2)<0

(0+5)(0-2)<0

(5)(-2)<0

-10<0

verdadero, así que este intervalo es parte de nuestra respuesta.

[tex](2,\infty)[/tex]

Para este escojamos 3 y probémoslo en unestra inecuación.

(x+5)(x-2)<0

(3+5)(3-2)<0

(8)(1)<0

8<0

falso, así que este intervalo no es parte de nuestra respuesta.

así que nuestra respuesta es:  (-5,2)

Vea imagen adjunta para representación gráfica.

2)

[tex]2x^{2}+3x\geq2[/tex]

Para resolver este problema, comenzamos moviéndolo todo al lado izquierdo de la inecuación.

[tex]2x^{2}+3x-2\geq0[/tex]

Ahora podemos factorizar el lado izquierdo de la inecuación para obtener:

[tex](2x-1)(x+2)\geq0[/tex]

Ahora podemos cambién el símbolo ≥ por un símbolop de = para obtener los valores de x que hacen que la inecuación sea igual a 0.

(2x-1)(x+2)=0

y ahora despejamos x.

2x-1=0

[tex]x=\frac{1}{2}[/tex]

y

x+2=0

x=-2

Ahora construimos nuestros intervalos posible.

[tex](-\infty,-2][/tex]

[tex][-2,\frac{1}{2}][/tex]

y

[tex][\frac{1}{2},\infty)[/tex]

Ahora escogemos los valores de prueba correspondientes.

[tex](-\infty,-2][/tex]

para este, escojamos -3 y probémoslo en la inecuación.

[tex](2x-1)(x+2)\geq0[/tex]

[tex](2(-3)-1)(-3+2)\geq0[/tex]

[tex](-7)(-1)\geq0[/tex]

[tex]7\geq0[/tex]

verdadero, así que este intervalo es parte de nuestra respuesta.

[tex][-2,\frac{1}{2}][/tex]

para este, utilicemos 0 como valor de prueba.

[tex](2x-1)(x+2)\geq0[/tex]

[tex](2(0)-1)(0+2)\geq0[/tex]

[tex](-1)(2)\geq0[/tex]

[tex]-2\geq0[/tex]

falso, así que este intervalo no es parte de nuestra respuesta.

[tex][\frac{1}{2},\infty)[/tex]

para este, utilicemos 1 como valor de prueba.

[tex](2x-1)(x+2)\geq0[/tex]

[tex](2(1)-1)(1+2)\geq0[/tex]

[tex](1)(3)\geq0[/tex]

[tex]3\geq0[/tex]

verdadero, así que este intervalo es parte de nuestra respuesta.

Así que nuestra respuesta es la unión entre los dos intervalos que resultaron verdadero, por lo que nuestra respuesta es:

[tex](-\infty,-2]U[\frac{1}{2},\infty)[/tex]

Vea la representación gráfica en la imagen adjunta.

Answer:

90

Step-by-step explanation:

3 x 10 with a tiny three

10 x tiny3 = 30

30 x normal 3 = 90

Answer:

Step-by-step explanation:

[tex](x-3)^2+(y-8)^2 = 25[/tex]

The equation of circle: (x - 3)² + (y - 8)² = 25

An equation of circle with center (h, k) and radius 'r' is,

(x - h)² + (y - k)² = r²

For given example,

a diameter of circle = 10 units

So, the radius would be (r) = 10/2

r = 5 units

And the center (h, k) = (3, 8)

So, the equation of the circle would be,

⇒ (x - 3)² + (y - 8)² = 5²

⇒ (x - 3)² + (y - 8)² = 25

Therefore, the equation of circle: (x - 3)² + (y - 8)² = 25

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Answer:

24 ft^2

Step-by-step explanation:

The small aquarium:

1 * 3 * 2 = 6 ft^2

The large aquarium

(1 + 1) * (3 + 2) * (2 + 1)

2 * 5 * 3 = 30 ft^2

Difference between the larger aquarium and the smaller aquarium:

30 - 6, or 24.

This means that the answer to this question is a, 24 ft^2

Answer:

proteints hi where they need to go body

Answer:

The triangles pictured are similar (SSS), that is the corresponding sides are in the same ratio. Hence the matching angles are the same. For any right-angled triangle similar to triangle ABC, the ratio of the matching sides will be the same.

Answer: The sum of the number of angles in a polygon is (n-2) * 180, where n is the number of sides, so the sum of the angles of a  17-sided polygon is (17-2) * 180 = 2700.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

do u have calculator?

Step-by-step explanation:

u need to put that equations in the graph

Answer:

y = -(x + 3)^2 - 5 (this is Answer b)

Step-by-step explanation:

Identify the coordinates of the vertex (h, k) by looking at the graph:  the x-coordinate, h, is -3 and the y-coordinate is -5.  The graph opens down, so the function begins with a negative sign:  y = -(x + 3)^2 - 5 (this is Answer b).

Answer:

V≈904.78cm³

Step-by-step explanation:

Answer:

15 apples good

5apples bad

answer 5