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natita [175]
2 years ago
11

F(x)=3/x+2-√x-3 f(19)=​

Mathematics
1 answer:
77julia77 [94]2 years ago
3 0

Answer:

  • - 27/7

Step-by-step explanation:

Given

  • f(x)=3/(x+2) - √(x-3)

To find

  • f(19)

Solution

  • f(19) =​ 3/(19 + 2) - √(19 - 3) = 3/21 - √16 = 1/7 - 4 = - 27/7
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Explain how to find the vertex of 2x^2+12x+16
Elina [12.6K]

The vertex form:

y=a(x-h)^2+k\\\\(h,\ k)-vertex

Use (a+b)^2=a^2+2ab+b^2\qquad(*)


2x^2+12x+16=2(x^2+6x)+16=2(x^2+2(x)(3))+16\\\\=2(\underbrace{x^2+2(x)(3)+3^2}_{(*)}-3^2)+16=2((x+3)^2-9)+16\\\\=2(x+3)^2+(2)(-9)+16=2(x+3)^2-18+16\\\\=\boxed{2(x-(-3))^2-2}\to h=-3,\ k=-2

<h3>Answer: (-3, -2).</h3>

Other method:

f(x)=ax^2+bx+c\\\\vertex:(h,\ k)\\\\h=\dfrac{-b}{2a},\ k=f(h)

We have

f(x)=2x^2+12x+16\\\\a=2,\ b=12,\ c=16

Substitute:

h=\dfrac{-12}{(2)(2)}=\dfrac{-12}{4}=-3\\\\k=f(-3)=2(-3)^2+12(-3)+16=2(9)-36+16=18-36+16=-2

<h3>Answer: (-3, -2).</h3>
5 0
3 years ago
What is the value of y in the sequence below? 2, y, 18, -54, 162 ,...
mixer [17]

Answer:

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Explanation:

mutiply by 3 first

2*3= 6

6*3= 18

to get to -54 , mutiply by -3 with 18

-3*18= -54

-54*-3= -162

7 0
3 years ago
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Another one: (12 - 7.5) - 7
mixas84 [53]

Answer:

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Step-by-step explanation:

Plugged into calculator

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