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Aloiza [94]
3 years ago
9

Macy measured the mass of a 69.3 g mouse at 70.0 g. Eli measured the mass of a 3867 kg elephant at 3900 kilograms. Macy's error

was 70-69.3 = 0.7 g-- about half the mass of a paperclip. What was Eli's error?Someone pls help!
Mathematics
1 answer:
coldgirl [10]3 years ago
6 0
3900 - 3867 = 33kg about the size of a little boy
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Consider the quadratic function f(x) = -x^2 + 1x + 12. Determine the following: (enter all numerical answers as integers, fracti
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Given : The quadratic function f(x)=-x^2+x+12

To find : Determine the following ?

Solution :

The x -intercept are where f(x)=0,

So, -x^2+x+12=0

Applying middle term split,

-x^2+4x-3x+12=0

-x(x-4)-3(x-4)=0

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x=4,-3

The x-intercepts are (4,0) and (-3,0).

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The largest x-intercept is x=4

The y -intercept are where x=0,

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The y-intercept is y=12.

The quadratic function is in the form, y=ax^2+bx+c

On comparing, a=-1 , b=1 and c=1 2

The vertex of the graph is denote by (h,k) and the formula to find the vertex is

For h, The x-coordinate of the vertex is given by,

h=-\frac{b}{2a}

h=-\frac{1}{2(-1)}

h=\frac{1}{2}

For k, The y-coordinate of the vertex is given by,

k=f(h)

k=-h^2+h+12

k=-(\frac{1}{2})^2+\frac{1}{2}+12

k=-\frac{1}{4}+\frac{1}{2}+12

k=\frac{-1+2+48}{4}

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The vertex of the function is (h,k)=(\frac{1}{2},\frac{49}{4})

The x-coordinate of the vertex i.e. x=-\frac{b}{2a} is the axis of symmetry,

So, x=-\frac{b}{2a}=\frac{1}{2} (solved above)

The axis of symmetry is x=\frac{1}{2}.

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