Hello:<span>
the equation is : y = ax+b
the slope is a : a×(1/2) = -1......( perpendicular to a line with a slope of 1/2) because : -2x+4y =8...y=(1/2)x+2 ) </span>
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a = -2 y=(-2x+b
the line that passes through (2,1) :1 = -2(2)+b
b =5
<span> the equation is : y = -2x+5</span></span>
We have the following function:
f (x) = x ^ 2 + 1
We apply the transformation f (x + 3) +9:
g (x) = (x + 3) ^ 2 + 1 + 9
Rewriting we have:
g (x) = (x + 3) * (x + 3) + 1 + 9
g (x) = (x ^ 2 + 3x + 3x + 9) + 1 + 9
g (x) = (x ^ 2 + 6x + 9) + 1 + 9
g (x) = x ^ 2 + 6x + 9 + 1 + 9
g (x) = x ^ 2 + 6x + 19
Answer:
the resulting function if the transformation f (x + 3) +9 is applied on the function f (x) = x ^ 2 + 1 is:
c) x ^ 2 + 6x + 19
x/5 = 7/3
Cross multiply:
3x = 35
Divide by 3 on both sides:
x = 35/3
Change to mixed number:
x = 11 2/3
Answer: x = 11 2/3
Total money spent is $11425 buying 75 animals
each chicken costs $65 so 50 costed the farmer $3250
each cow costs $45 so 15 cows costed the farmer $675
ducks purchased were 10
to find how much the ducks costs we will add the money spent the farmer and subtract it from the total amount spent.
11425-3250-675=$7500
10 ducks = $7500
so one duck costs 7500/10=$750
the price for each duck is $750
Volume of sphere is 4/3* pi*r^3
r is half of diameter. So 5.25 in this case
Plug It in.
Becomes ~606.13
All answers are wrong. Closest one is 605.8