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puteri [66]
3 years ago
10

19. What is the equation of the line in slope-intercept form that passes through the point (24,9) and 1/8

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
6 0

Answer:

y=1/8x+6

Step-by-step explanation:

y-y1=m(x-x1)

y-9=1/8(x-24)

y=1/8x-24/8+9

y=1/8x-3+9

y=1/8x+6

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15.7

Step-by-step explanation:

600 - 584.3 = 15.7

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X is equal to 9 and -9
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3 years ago
Encuentra la ecuacion de la parabola con vertice en el origen y foco en las cordenadas 0,1en su forma ordinaria y general
marusya05 [52]

Answer:

x^{2}=4y

y=\frac{1}{4}x^{2}

Step-by-step explanation:

Forma ordinaria

La ecuación de la parabola de manera ordinaria está dada por:

(x-h)^{2}=4p(y-k) (1)  

Donde:

  • (h,k) es la coordenda del vértice, en nuestro caso (0,0) ya que está en el origen.
  • (h,k+p) es la coordenda del foco, en nuestro caso (0,1).

Por lo tanto h = 0, k = 0 y p = 1.

Remplazando estos valores en la ecuación de la parábola, tenemos:

(x-0)^{2}=4*1(y-0)

x^{2}=4y (2)

 

Forma general  

La forma general de una parábola esta dada por la siquiente ecuación

y=ax^{2}+bx+c

Reordenando la ecuación (2) tenemos:

y=\frac{1}{4}x^{2}

Espero esto te haya ayudado!

5 0
3 years ago
Suppose that the cost of producing x tablets is defined by c(x)= 200 + 10x + 0.2x squared* where x represents the number if tabl
sammy [17]

we are given

C(x)=200+10x+0.2x^2

part-A:

Since, x is number of tablets

C(x) is cost of producing x tablets

so, vertical box is C(x)

so, we write in vertical box is "cost of producing x tablets"

Horizontal box is x

so, we write in horizontal box is "number of tablets"

part-B:

we have to find average on [a,b]

we can use formula

\frac{C(b)-C(a)}{b-a}

we are given point as

a: (15 , 395)

a=15 and C(15)=395

b: (20, 480)

b=20 , C(20)=480

now, we can plug values

=\frac{480-395}{20-15}

=17...........Answer

part-c:

we have to find average on [b,c]

we can use formula

\frac{C(c)-C(b)}{c-b}

we are given point as

b: (20, 480)

b=20 , C(20)=480

c:(25,575)

c=25 , C(c)=575

now, we can plug values

=\frac{575-480}{25-20}

=19..............Answer


5 0
3 years ago
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