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Sidana [21]
2 years ago
6

The house sparrows population has decreased by 41% since 1977. The population is now approximately 6.5 million pairs of birds. W

hat was the estimated sparrow population in 1977?
Mathematics
1 answer:
BlackZzzverrR [31]2 years ago
5 0
Let x be estimated population in 1977

x - 0.41x  = 6,500,000
 x = (6,500,000 / 0.59

Answer is approximately 11,017,000  

11 million
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Given the function f(x) = 5(x+4) − 6, solve for the inverse function when x = 19.
vlada-n [284]
Y = 5(x+4)-6 
x = 5(y+4)-6 
x = 5y +20 - 6 
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5y = x-14 
y = (x-14)/5 
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when x = 19, y = (19-14)/5 </span>
y = 5/5 
<span>y=1

In short, Your Answer would be Option 2

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4 0
3 years ago
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A parabola is given by the equation y = x2 + 4x + 4.
notsponge [240]

Answer:

the vertex of the parabola is:(-2,0)

the focus of the parabola is:(-2,\frac{1}{4})

the directrix of the parabola is:y=\frac{-1}{4}

Step-by-step explanation:

we know that for any general equation of the parabola of the type y=ax^{2} +b x+c the vertex of the parabola is given by (h,k)

where h=\frac{-b}{2 a} and k=\frac{4 a c-b^{2} }{4a}

therefore by the given data we have h=-2 and k=0

hence vertex=(-2,0)

the general equation of the parabola of the type 4 a (y-h)=(x-k)^2 ; the parabola symmetric around the y-axis has the focus from the centre i.e. the vertex (h,k) at a distance a as (h,k+a) and the directrix is given by y=k-a

so focus is (-2,\frac{1}{4} )

now the directrix of the parabola is y=\frac{-1}{4}.




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3 years ago
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Step-by-step explanation:

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950

Step-by-step explanation:

2500(0.076)(5)  = 950

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