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Volgvan
3 years ago
9

BRAINLIEST!!!!

Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0

Answer:   has a maximum

              the maximum is  11

Step-by-step explanation:

f(x)= -5x^2-10x+6

the function f(x)= ax^2+bx+c=0  has a<0  so the equation has a maximum

I know V has the coordonate x=-b/2a,  and y=-(b^2-4ac)/4a

b^2-4*a*c= (-10)^2-4*(-5)*6=100+120=220

so -b/2a=-(-10)/-2*5=+10/-10=-1 and

    -(b^2-4ac)/4a=-220/4*(-5)=-220/-20=22/2=11

so  V( -1, 11)

and  the maximum is  11

   

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Four married couples have reserved eight seats in a row at the theater, starting at an aisle seat. In how many ways can they arr
prisoha [69]

Answer:

1152 ways

Step-by-step explanation:

There are 4 married coupes i.e. four women and four men.

Let us treat four women as one unit together and 4 men as one unit together.

We have 2 units which can be arrangedi in 2!= 2 ways

Among 4 women they can arrnage themselves in 4! = 24 ways

Similarly 4 men can sit in 4! ways together

Hence total number of ways

they can  arrange themselves if all the women sit together and all the men sit together

= No of ways 2 units arranged * no of ways men arranged * no of ways women arranged

=2*24*24

= 1152

6 0
3 years ago
An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 340 feet of antique
NNADVOKAT [17]

Answer:

l=102 feet, w=68 feet

Step-by-step explanation:

Let w=width and l=length

P=2l + 2w

And we know that w=2/3l

So, using substitution...

340=2l + 2(2/3l)

340=2l + 4/3l

340=6/3l + 4/3l

340=10/3l (now multiply both sides by 3 to get rid of fraction)

1020=10l

So l=102

Now plug in to get w

2(102)+2w=340

204+2w=340

2w=136

w=68

Now check:

2(102)+2(68)=

204+136=

340 It works!

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4 years ago
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