Use the following function rule to find f(3).

f(x) =
8
x

+ 9

f(3) =

Answer:

18

Step-by-step explanatio:a 52 le quitas la diferencia de 16 y da 36 que lo divides entre 2 y es 18 por lo que 18+18=36+16=52

Step-by-step explanation:

[tex]here \: is \: your \: solution \\ \\ let \: the \: first \: number \: be \: x \\ \\ let \: the \: second \: number \: be \: y \\ \\ now \: according \: to \: question \\ \\ x + y = 52 \\ \\ and \: x - y = 16 \\ \\ now \: add \: both \: equation \\ \\ we \: will \: get \: \\ \\ 2x = 68 \\ \\ x = 68 \div 2 \\ \\ x = 34 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 34 + y = 52 \\ \\ y = 52 - 34 \\ \\ y = 18 \\ \\ x = 34 \: and \: y = 18 \\ \\ hope \: it \: helps[/tex]

Answer:

i think its help..............

Answer:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following integration

[tex] \displaystyle \int \cos ^{3} (x) dx[/tex]

in order to do so rewrite

[tex] \displaystyle \int \cos ^{2} (x) \cos(x) dx[/tex]

we can also rewrite cos²(x) by using trigonometric indentity

[tex] \displaystyle \int( 1 - \sin ^{2} (x) )\cos(x) dx[/tex]

to apply u-substitution we'll choose

[tex] \rm \displaystyle u = \sin ^{} (x) \quad \text{and} \quad du = \cos(x) dx[/tex]

thus substitute:

[tex] \displaystyle \int( 1 - {u}^{2} )du[/tex]

apply substraction integration and:

[tex] \displaystyle \int 1du - \int {u}^{2} du[/tex]

use constant integration rule:

[tex] \displaystyle u - \int {u}^{2} du[/tex]

use exponent integration rule:

[tex] \displaystyle u - \frac{ {u}^{3} }{3} [/tex]

back-substitute:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} [/tex]

finally we of course have to add constant of integration:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]

Answer:

19.5 = 0.75x

x = 26

I hope this finds you well and have a great day.

Answer:

AAAAAA

Step-by-step explanation:

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Answer:

For any value of x, g(x) will always be greater than h(x)

g(x) > h(x) for x = -1

For positive values of x, g(x) > h(x).

For negative values of x, g(x) > h(x).

Answer:

Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.

g(x) > h(x) for x = -1.  

For positive values of x, g(x) > h(x).  

For negative values of x, g(x) > h(x).

Step-by-step explanation:

and for the lazy people its just C, E, F

Answer:

49°

Step-by-step explanation:

106 + 135 + 70 + x = 360

311 + x = 360

x = 49°

Answer:

Part A)  2(n/6) - 9

Part B)  the expression would change to 2(n/6) + 9 if  it said 'more than'

Step-by-step explanation:

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 3 placed after the decimal point.

let x = 0.5333.. ( multiply both sides by 10 and 100 )

10x = 5.333... → (1)

100x = 53.333... → (2)

Subtract (1) from (2) tus eliminating the repeating 3

90x = 48 ( divide both sides by 90 )

x = [tex]\frac{48}{90}[/tex] = [tex]\frac{8}{15}[/tex]

Answer:

IT IS 8/15

Step-by-step explanation: Divide and multiply the fraction from 100 to tens

Answer:

FV = 60

Step-by-step explanation:

VG => 65 × 2 = 130

FH major arc=> 119 × 2 =  238

FH major arc -  GH = FG

FG => 238 - 168 = 70

VG - FG major arc = FV

FV => 130 - 70 = 60

Answer:

60 degrees

Step-by-step explanation:

The measure of an inscirbed angle is half the measure of the intercepted arc.

(The measure of the arc is twice the measure of the angle!)

The inscribed angle at V  intercepts an arc of 2 x 119 = 238 degrees, so the measure of arc FGH is 238.  Subtract arc GH from that, 238 - 168 = 70, so that is the measure of arc FG.

The angle at H intercepts an arc with measure 2 x 65 = 130.  The measure of arc VFG is 130.  But arc FG is part of that, so subtract its measure from 130.  130 - 70 = 60.

The measure of arc FV is 60 degrees.

Answer:

7.20

Step-by-step explanation:

The possible functions are

A. F(x)=2x^2-8x-42

B. F(x)=5x^2+20x-105

C. F(x)=x^2+4x-21

The zeros are given as:

x = -7 and x = 3

Rewrite as:

x +7 = 0 and x - 3 = 0

Multiply both zeros

(x + 7) * (x - 3) = 0 * 0

Evaluate the product

x^2 + 7x - 3x - 21 = 0

Evaluate the like terms

x^2 + 4x - 21 = 0

Express as a function

f(x) = a(x^2 + 4x - 21)

Where a is a constant

Let a = 1, 2 and  5 (according to the values in the options)

f(x) = 1 * (x^2 + 4x - 21) = x^2 + 4x - 21 --- option (c)

f(x) = 2 * (x^2 + 4x - 21) = 2x^2 + 8x - 42 --- option (a)

f(x) = 5 * (x^2 + 4x - 21) = 5x^2 + 20x - 105 --- option (b)

Hence, the possible functions are (a), (b) and (c)

Read more about quadratic functions at:

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Answer:

Step-by-step explanation:

So you want to isolate the y, so add 4x to both sides of the problem. So now we have y < -7 + 4x. Now since adding can go both ways (in its own equation) you can turn around the 7 and 4. So we have y < 4x -7

Answer:

R'={(3,4)(4,5)(5,6)}

Step-by-step explanation:

R={(4,3)(5,4)(6,5)}

R'={(3,4)(4,5)(5,6)}

Answer:

x = 4.3588989435406

I hope it's helps you

Answer:

A.) The function is linear.

C.) The height increases at a constant rate of change.E

Step-by-step explanation:

Edge 2022

The function is linear and the height increases at a constant rate of change are the correct statements of the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Based on the description, it seems that the function is linear because the graph shows a line of dots that increases at a constant rate from 0 to 9 weeks.

Therefore, the following statements apply:

The function is linear.

The height increases at a constant rate of change.

Linear functions are those functions whose graph goes in a straight line. This function has one independent variable and one dependent variable.

The height increases at a constant rate of change. We can see as the time is increasing the height is increasing. We can determine this by slope of graph.

Hence, the function is linear and the height increases at a constant rate of change are the correct statements of the given graph.

To learn more on Graph click:

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Answer:

Step-by-step explanation:

Sphere

1.V≈113.1m³

V=4 /3πr3=4/ 3·π·33≈113.09734m³

Sphere

2.R =6cm

Volume of sphere = 4/3πr^3

4/3πr^3=288π

r^3=288*3/4

r^3=216

r=6cm

Cone

3.V≈314.16m³

V=πr^2h/ 3=π·52·12/ 3≈314.15927m³

Cone

4. h≈2.55m

Using the formula

V=πr^2h/ 3

Solving for h

h=3V/ πr^2=3·96/ π·6^2≈2.54648m

Cylinder

5.V≈75.4m³

Solution

V=πr2h=π·22·6≈75.39822m³

Cylinder

6.h≈0.95m

Using the formula

V=πr2h

Solving for h

h=V/ πr^2=75/ π·5^2≈0.95493m

Hope this helped!!!

Answer:

average temperatures on mars, then you get the hottest temperatures...

Step-by-step explanation:

Answer:

y = 4

Step-by-step explanation:

Answer:

La respuesta al ejercicio es:

Step-by-step explanation:

Teniendo en cuenta que el capital inicial es de $9,000.00 y el capital tras un año es de $9,400.00, se identifica en primera instancia que la ganancia gracias al interés anual fue de $400, por lo cual se pueden tener en cuenta las siguientes variables:

Y el siguiente sistema de ecuaciones:

En la segunda ecuación, cambiaremos los porcentajes para facilitar los cálculos posteriores:

   2. x * 0.05 + y * 0.04 = 400

Lo cual también se puede representar como:

   2. 0.05x + 0.04y = 400

Procedemos a despejar una variable, en este caso despejaré la variable y de la primera ecuación:

Y la reemplazaré en la segunda ecuación:

Ahora operamos:

Restamos las variables x:

Y despejamos el valor real de x:

Ya que x es el monto de dinero puesto al 5% anual, ahora sabemos que dicho monto fue $4,000.00, por último, reemplazamos este valor en la primera ecuación para identificar el valor de y:

Por último, sabemos que el monto de dinero puesto al 4% fue $5,000.00.

Answer:

Maximum height of the ball = 100 m

Time to reach the maximum height = 2.5 seconds

Step-by-step explanation:

Function that models the height h(t) of the ball and time 't',

h(t) = -16t² + 80t

Convert this equation into vertex form,

h(t) = -16(t²- 5t)

     = -16[t² - 2(2.5t) + (2.5)² - (2.5)²]

     = -16[[t² - 2(2.5t) + (2.5)²] + 16(2.5)²

     = -16(t - 2.5)² + 16(6.25)

     = -16(t - 2.5)² + 100

By comparing this equation with,

g(t) = a(x - h)² + k

Here, (h, k) is the vertex of the parabola.

Vertex of the given parabola will be → (2.5, 100)

Therefore, maximum height of the ball = 100 m

Time taken by the ball to reach the maximum height = 2.5 seconds

Answer:

(0, 1)

Step-by-step explanation:

y - 4x = 1 crosses the y-axis at (0, 1)

Answer:

(0,1)

Step-by-step explanation:

Answer: Answer to 13 is 16 as it is 81+ days. Answer 14 is 16/50 which is 32 percent The median on 15 is the 6th value and the minimum value is the smallest number in the sequence provided. The lower quartile is the 3rd number in the sequence but you need to put them from smallest to largest. The upper quartile is the 9th number in the sequence. The maximum value is the biggest number in the sequence

Step-by-step explanation: