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Harman [31]
3 years ago
7

16-(-10) need help plz

Mathematics
1 answer:
vichka [17]3 years ago
5 0
Multiplying a negative and negative is equal to positive, so:

16-(-10)
=16+10
=26

hope this helps!!
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If f(x) = x2 + 2x + 3, what is the average rate of change of Rx) over the interval (-4, 6]?
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Step-by-step explanation:

The average rate of change of a function over an interval is simply the slope over the interval because:

let \: g(x)=f'(x)\\\frac{\int\limits^b_a {g(x)} \, dx }{b-a}(the\:average\:value\:of\:g)=\frac{f(b)-f(a)}{b-a}

We have to know f(6) and f(-4)

f(x) = x^2 + 2x + 3\\f(6) = 6^2 + 2(6) + 3\\f(6) = 36 + 12 + 3\\f(6) = 51\\\\f(-4) = (-4)^2 + 2(-4) + 3\\f(-4) = 16 - 8 + 3\\f(-4) = 11\\\\\frac{f(6)-f(-4)}{6-(-4)} = \frac{51-11}{10} = \frac{40}{10} = 4

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On Monday Simon's class filled 3 2/5 boxes with books to donate to charity. On Wednesday the class filled 4 2/5 more boxes with
TiliK225 [7]

Simon class donated 7\frac{4}{5} \text{ or } 8 boxes of books

<h3><u>Solution:</u></h3>

Given that,

On Monday Simon's class filled 3\frac{2}{5} boxes with books to donate

On Wednesday the class filled 4\frac{2}{5} more boxes with books

To find: total number of boxes of books donated

Total number of boxes of books donated = boxes filled in monday + boxes filled in wednesday

From given statement,

Boxes of books filled in monday = 3\frac{2}{5} = \frac{5 \times 3 +2}{5} = \frac{17}{5}

Boxes of books filled in wednesday = 4\frac{2}{5} = \frac{5 \times 4+2}{5} = \frac{22}{5}

Therefore,

Total number of boxes of books donated = \frac{17}{5} + \frac{22}{5}

\rightarrow \frac{17}{5} + \frac{22}{5} = \frac{17+22}{5} = \frac{39}{5} = 7\frac{4}{5} = 7.8\\\\\rightarrow 7.8 \approx 8

Thus simon class donated 7\frac{4}{5} \text{ or } 8 boxes of books

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