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Marina CMI [18]
3 years ago
6

If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola

Mathematics
1 answer:
Vlada [557]3 years ago
4 0

why isn't there a sig n between the 3(x+5)2-4

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For the function F defined by F(x) = x2 – 2x + 4, find F(| — 4|).
Lostsunrise [7]

F(x)=x^2-2x+4

\\ \sf\longmapsto F(|-4|)

\\ \sf\longmapsto F(4)

\\ \sf\longmapsto 4^2-2(4)+4

\\ \sf\longmapsto 16-8+4

\\ \sf\longmapsto 8+4

\\ \sf\longmapsto 12

7 0
3 years ago
90 is one tenth of what?
Dafna1 [17]
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Find the area of the region bounded by the curves y equals the inverse sine of x/4, y = 0, and x = 4 obtained by integrating wit
olasank [31]

Answer: 1/30

Step-by-step explanation:

∫[0,4] arcsin(x/4) dx = 2π-4

x = 4sin(u)

arcsin(x/4) = arcsin(sin(u)) = u

dx = 4cos(u) du

∫[0,4] 4u cos(u) du

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v = ∫[1,e] π(R^2-r^2) dx

where R=2 and r=lnx+1

v = ∫[1,e] π(4-(lnx + 1)^2) dx

Using shells dy

v = ∫[0,1] 2πrh dy

where r = y+1 and h=x-1=e^y-1

v = ∫[0,1] 2π(y+1)(e^y-1) dy

v = ∫[0,1] (x-x^2)^2 dx = 1/30

3 0
3 years ago
Your bike was originally purchased for $1,200. It loses about 8% of its original value each year. Write an equation to represent
Arlecino [84]

Answer:

y= 1200(0.92)^x

Step-by-step explanation:

Given data

Cost price= $1200

Rate of decrease= 8%

Let the time be x

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y= ab^x

for decrease b= 1-r

y= 1200(1-0.08)^x

y= 1200(0.92)^x

Hence the expression is

y= 1200(0.92)^x

7 0
3 years ago
Find the 5th term of the arithmetic sequence -5x – 9, 2x – 14, 9x – 19,...
grin007 [14]
The answers 5 because I looked it up
4 0
3 years ago
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