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kirill [66]
2 years ago
7

Which function could be represented by the graph on the coordinate plane? f(x) = (x – 8)2 6 f(x) = (x 8)2 6 f(x) = (x 8)2 – 6 f(

x) = (x – 8)2 – 6
Mathematics
1 answer:
hjlf2 years ago
7 0

Considering it's vertex, the quadratic equation that could be represented on the plane is given as follows:

f(x) = (x - 8)² - 6.

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

Researching the problem on the internet, it is found that the given graph has vertex at (8,-6), hence <u>h = 8, k = -6 and considering a = 1</u> the equation is given as follows:

f(x) = (x - 8)² - 6.

More can be learned about the vertex of a quadratic equation at brainly.com/question/24737967

#SPJ4

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Four numbers from the set 0 to 9, including 0 and 9, are used to create a personal identification number. Once a number is used,
Novay_Z [31]
Possible outcomes: 5040 
Possible to begin with a 0: 504
Theoretical probability: 0.1

These are the correct answers



5 0
3 years ago
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CUALES SON LOS GRADOS PARA HACER UNA GRAFICA DE PASTEL, CON LOS SIGUIENTES PORCENTAJES( 20%,50%,10%)
svlad2 [7]

Answer:

Lo primero que debemos saber, es que la gráfica de pastel nos permite dividir a una población, la cual sería el 100%, en porcentajes menores que representan algo.

En este caso tenemos los porcentajes 20%, 50%, 10%  (notar que no suman 100%, entonces nos falta algún porcentaje)

Bueno, como sabemos el gráfico (el cual es un círculo) representa el 100%.

Y en un círculo, tenemos un ángulo de 360°

Entonces comenzamos con la equivalencia:

360° = 100%

Entonces, ¿a que grado corresponde el 50%? Planteamos la ecuación:

x = 50%

Si tomamos el cociente entre las ecuaciones:

x = 50% y  360° = 100%

obtenemos:

x/360° = 50%/100%

resolviendo para x, obtenemos:

x = (50%/100%)*360° = 0.5*360° = 180°

Para los otros porcentajes hacemos lo mismo.

Para el de 20% tenemos:

y = 20%

planteamos la ecuación:

y/360° = 20%/100%

y = 0.2*360° = 72°

Finalmente, para el de 10% tendremos:

z = 10%

planteando la ecuación como antes:

z/360° = 10%/100%

z = 0.1*360 = 36°

Asi, hemos encontrado los grados correspondientes para cada porcentaje.

8 0
3 years ago
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Rasek [7]
Answer:
slope = -9/2

Explanation:
The form of the slope-intercept equation is:
y = mx + c
where:
m is the slope
c is the y-intercept

The given is:
y = -9/2 x

Comparing the given with the general form, we will find that:
m is the slope = -9/2
c is the y-intercept = 0

Hope this helps :)
y = -9/2

7 0
2 years ago
Read 2 more answers
Which of the number(s) below are potential roots
Gnom [1K]

Answer:

+1 is the potential root of the function.

Step-by-step explanation:

Given;

p(x) = x⁴ + 22x⁴ – 16x - 12

A potential root of the function is zero of the function. That is a potential root will reduce the function to  zero or close to zero.

To determine this, we test each of the root given;

p(6) = (6)⁴ + 22(6)⁴ - 16(6) - 12 = 29700

p(3) = (3)⁴ + 22(3)⁴ - 16(3) - 12 = 1803

p(1) = (1)⁴ + 22(1)⁴ - 16(1) - 12 = -5

p(8) = (8)⁴ + 22(8)⁴ - 16(8) - 12 = 94068

The only number that reduces the function close to zero is +1, then +1 is the potential root of the function.

8 0
3 years ago
Please help me please I reallly need help
kiruha [24]

Answer:

we have:

v  =  \frac{1}{3} \pi \: r {}^{2}h \\  \\  =  > 60\pi =  \frac{1}{3} \pi \: r {}^{2} h \\  \\  <  =  > 180 = r {}^{2} h

=> r²h = 10.18 = 9.20 = 5.36 = 6.30 = 4.45 = 12.15

=> only r²h = 5.36 satisfy the problem

=> h = 5

h = 5 r = 6

h = 5 r = 6=> d = 12

3 0
2 years ago
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