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Korvikt [17]
3 years ago
12

Marcy figures out that she walks approximately 39,680 feet every week for exercise. One week, she walks 2,640 feet less than usu

al. Which is the best estimate of the number of feet Marcy walks that week?
Mathematics
1 answer:
Alex Ar [27]3 years ago
7 0
The answer to that question would be 37040 so the best estimate would be 37,000.
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Find the equation of the parabola that passes through
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so we have the points of (0,-7),(7,-14),(-3,-19), let's plug those in the y = ax² + bx + c form, since we have three points, we'll plug each one once, thus a system of three variables, and then we'll solve it by substitution.

\bf \begin{array}{cccllll} \stackrel{\textit{point (0,-7)}}{-7=a(0)^2+b(0)+c}& \stackrel{point (7,-14)}{-14=a(7)^2+b(7)+c}& \stackrel{point (-3,-19)}{-19=a(-3)^2+b(-3)+c}\\\\ -7=c&-14=49a+7b+c&-19=9a-3b+c \end{array}

well, from the 1st  equation, we know what "c" is already, so let's just plug that in the 2nd equation and solve for "b".

\bf -14=49a+7b-7\implies -7=49a+7b\implies -7-49a=7b \\\\\\ \cfrac{-7-49a}{7}=b\implies \cfrac{-7}{7}-\cfrac{49a}{7}=b\implies -1-7a=b

well, now let's plug that "b" into our 3rd equation and solve for "a".

\bf -19=9a-3b-7\implies -12=9a-3b\implies -12=9a-3(-1-7a) \\\\\\ -12=9a+3+21a\implies -15=9a+21a\implies -15=30a \\\\\\ -\cfrac{15}{30}=a\implies \blacktriangleright -\cfrac{1}{2}=a \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{and since we know that}}{-1-7a=b}\implies -1-7\left( -\cfrac{1}{2} \right)=b\implies -1+\cfrac{7}{2}=b\implies \blacktriangleright \cfrac{5}{2}=b \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=-\cfrac{1}{2}x^2+\cfrac{5}{2}x-7~\hfill

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3 years ago
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Greg has decreased his running time by 1 tenth minute each of the last six weeks. Write an expression to represent the total cha
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R = -1/10x. Don't forget to rate and give me the brainliest answer! Then, I can help you with all your problems! ^-^ ~

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If the sales tax is 6% and the purchase price is $271, what is the amount of tax?
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100\%-price\ without\ tax\\100\%+6\%=106\%-price\ with\ tax\\\\271=106\%x\\271=1.06x\ \ \ \ \ |:1.06\\x=255.66\\\\271-255.66=15.34\\\\\\Tax\ is\ equal\ \$15.34
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