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Tomtit [17]
1 year ago
12

One-stray Problem Solving

Mathematics
1 answer:
anygoal [31]1 year ago
3 0
A) 5000 m²
b) A(x) = x(200 -2x)
c) 0 < x < 100
Step-by-step explanation:
b) The remaining fence, after the two sides of length x are fenced, is 200-2x. That is the length of the side parallel to the building. The product of the lengths parallel and perpendicular to the building is the area of the playground:
A(x) = x(200 -2x)
__
a) A(50) = 50(200 -2·50) = 50·100 = 5000 . . . . m²
__
c) The equation makes no sense if either length (x or 200-2x) is negative, so a reasonable domain is (0, 100). For x=0 or x=100, the playground area is zero, so we're not concerned with those cases, either. Those endpoints could be included in the domain if you like.
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PLEASEE HELP!! I WILL MARK BRAINLIEST!
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The expression in scientific notation is given as follows:

3.5 x 10³.

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

a \times 10^b

With the base being a \in [1, 10).

For this problem, the expression is given by:

\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3}

When two factors of a multiplication have the same base and different exponent, we <u>keep the base and add the exponents,</u> hence:

10^2 \times 10^4 = 10^6

5 x 4.2 = 21, hence the expression is:

\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3} = \frac{21 \times 10^6}{6 \times 10^3}

When we divide two terms with the same base and different exponents, we keep the base and subtract the exponents, hence:

\frac{21 \times 10^6}{6 \times 10^3} = 3.5 \times 10^3

Which is the simplified expression.

More can be learned about scientific notation at brainly.com/question/16394306

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Hope this helps!

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