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Mrac [35]
3 years ago
14

Two snow seasons ago, White cap received 320 inches of snow. That season it received 10% of the total season's snowfall in Novem

ber. Officals at Whitecap like to have at least 40 inches of snowfall by the end of November. Did whitecap receive enough snowfall to meet that goal? Explain how you determined your answer.
Please help November - 17 | 14%
Mathematics
1 answer:
Shtirlitz [24]3 years ago
4 0
No,because 10% of 320 is 32 and it likely to have atleast 40 inches
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\large\begin{array}{l} \left\{\!\begin{array}{l} \mathsf{f(x)=x^2-6x+2}\\ \mathsf{g(x)=\sqrt{x}}\\ \end{array}\right. \end{array}


\large\begin{array}{l} \textsf{a) }\mathsf{(f\circ g)(x)}\\\\ =\mathsf{f\big[g(x)\big]}\\\\ =\mathsf{\big[g(x)\big]^2-6\cdot g(x)+2}\\\\ =\mathsf{\big[\sqrt{x}\big]^2-6\sqrt{x}+2}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(f\circ g)(x)=x-6\sqrt{x}+2} \end{array}}\qquad\checkmark \end{array}

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\large\begin{array}{l} \textsf{b) }\mathsf{(g\circ f)(-2)}\\\\ =\mathsf{g\big[f(-2)\big]}\\\\ =\mathsf{\sqrt{f(-2)}}\\\\ =\mathsf{\sqrt{(-2)^2-6\cdot (-2)+2}}\\\\ =\mathsf{\sqrt{4+12+2}}\\\\ =\mathsf{\sqrt{18}}\\\\ =\mathsf{\sqrt{3^2\cdot 2}}\\\\ =\mathsf{3\sqrt{2}}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(g\circ f)(-2)=3\sqrt{2}} \end{array}}\qquad\checkmark \end{array}

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If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2181559


\large\textsf{I hope this helps. :-)}


Tags: <em>composite function composition evaluate algebra</em>

7 0
3 years ago
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djyliett [7]

Answer:

t_1\approx2.18

t_2\approx0.57

Step-by-step explanation:

h=7+44t-16t^2

27=7+44t-16t^2

0=-20+44t-16t^2

0=-16t^2+44t-20

t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

t=\frac{-44\pm\sqrt{44^2-4(-16)(-20)}}{2(-16)}

t=\frac{-44\pm\sqrt{1936-1280}}{-32}

t=\frac{-44\pm\sqrt{656}}{-32}

t=\frac{-44\pm4\sqrt{41}}{-32}

t=\frac{11}{8}\pm\frac{\sqrt{41}}{8}

t_1\approx2.18

t_2\approx0.57

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