The answer is: [D]: "42" .
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Explanation:
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Consider the "1/9" to be close to "1/10" ; (that is; "0.1" ; since "0.1 = 1/10" ) .
Note that a "negative value" multiplied by a "negative value" equals a "positive value".
Round the "14.1" to "14" ; and the "2.9" to "3" ;
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-14.1 * -2.9 ≈ 14* 3 = 42 .
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Answer:
The answer is "
"
Step-by-step explanation:
The rectangle should also be symmetrical to it because of the symmetry to the y-axis The pole of the y-axis. Its lower two vertices are (-x,0). it means that
and (-x,0), and (x,0). Therefore the base measurement of the rectangle is 2x. The top vertices on the parabola are as follows:
The calculation of the height of the rectangle also is clearly 16-x^2, (-x,16,-x^2) and (x,16,-x^2).
The area of the rectangle:
![A(x)=(2x)(16-x^2)\\\\A(x)=32x-2x^3](https://tex.z-dn.net/?f=A%28x%29%3D%282x%29%2816-x%5E2%29%5C%5C%5C%5CA%28x%29%3D32x-2x%5E3)
The local extremes of this function are where the first derivative is 0:
![A'(x)=32-6x^2\\\\32-6x^2=0\\\\x= \pm\sqrt{\frac{32}{6}}\\\\x= \pm\frac{4\sqrt{3}}{3}\\\\](https://tex.z-dn.net/?f=A%27%28x%29%3D32-6x%5E2%5C%5C%5C%5C32-6x%5E2%3D0%5C%5C%5C%5Cx%3D%20%5Cpm%5Csqrt%7B%5Cfrac%7B32%7D%7B6%7D%7D%5C%5C%5C%5Cx%3D%20%5Cpm%5Cfrac%7B4%5Csqrt%7B3%7D%7D%7B3%7D%5C%5C%5C%5C)
Simply ignore the negative root because we need a positive length calculation
It wants a maximum, this we want to see if the second derivative's profit at the end is negative.
![A''\frac{4\sqrt{3}}{3} = -12\frac{4\sqrt{3}}{3}](https://tex.z-dn.net/?f=A%27%27%5Cfrac%7B4%5Csqrt%7B3%7D%7D%7B3%7D%20%3D%20-12%5Cfrac%7B4%5Csqrt%7B3%7D%7D%7B3%7D%3C0%5C%5C%5C%5C2.%5Cfrac%7B4%5Csqrt%7B3%7D%7D%7B3%7D%3D%20%5Cfrac%7B8%5Csqrt%7B3%7D%7D%7B3%7D%5C%5C%5C%5C%5Cvertical%20%5C%20dimension%5C%5C%5C%5C16-%28%5Cfrac%7B4%5Csqrt%7B3%7D%7D%7B3%7D%29%5E2%3D%20%5Cfrac%7B32%7D%7B3%7D)
Answer
The equation of the line is y=-3x-19
Explanation
the formula is y=mx+b
m=slope b=y intercept
<em>hope this helps!</em>
<em>have a great day :)</em>
Answer:
each person gets 2 1/4 of a cupcake
Step-by-step explanation:
the correct division expression is 9/4=the amount of cupcakes each person gets
0,1,2,3,4 i think it’s right