Hey guys! I really need help on this question.. Im stuck on it lol. If you can help then tysm :)

Mathematics

1 answer:

madreJ [45]3 years ago

7 0

Answer:

The average size of a seventh - grade class is larger and varies more than that of kindergarten class.

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Which statement about the quadratic parent function is true?

nikitadnepr [17]

The correct answer is B) its graph is symmetrical about the y-axis.

A quadratic graph cannot be "folded" across the x-axis.
The domain, or set of inputs, is all real numbers; there is no value of x for which there will be no y.
The range, or set of outputs, is not all real numbers; there are values of y that will not be used in the graph.

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3 years ago

Approximate the area under the

taurus [48]

Split up the interval [0, 3] into 3 equally spaced subintervals of length $\Delta x = \frac{3-0}3 = 1$ . So we have the partition

[0, 1] U [1, 2] U [2, 3]

The left endpoint of the $i$ -th subinterval is

$\ell_i = i - 1$

where $i\in\{1,2,3\}$ .

Then the area is given by the definite integral and approximated by the left-hand Riemann sum

$\displaystyle \int_0^3 f(x) \, dx \approx \sum_{i=1}^3 f(\ell_i) \Delta x \\\\ ~~~~~~~~~~ = \sum_{i=1}^3 (i-1)^3 \\\\ ~~~~~~~~~~ = \sum_{i=0}^2 i^3 \\\\ ~~~~~~~~~~ = 0^3 + 1^3 + 2^3 = \boxed{9}$