Mathematics, 03.11.2019 05:31 Giabear23

Atown’s jobless rate can be modeled by (1, 3.3), (2, 4.9), (3, 5.3), (4, 6.4), (5, 4.5), (6, 5.6), (7, 2.5), (8, 2.7). how many turning points would the graph of a polynomial function through these points have?

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Analyze the transition (or slope) between each adjacent pair of points. You can do this by first graphing the function, or by comparing the y values of adjacent points.

#1 - From (1, 3.3) to (2, 4.9), the y values increase, so the slope is positive.
#2 - From (2, 4.9) to (3, 5.3), the y values increase, so the slope is positive.
#3 - From (4, 6.4) to (5, 4.5), the y values decrease, so the slope is negative.
#4 - From (5, 4.5) to (6, 5.6), the y values increase, so the slope is positive.
#5 - From (6, 5.6) to (7, 2.5), the y values decrease, so the slope is negative.
#6 - From (7, 2.5) to (8, 2.7), the y values increase, so the slope is positive.

Notice that there are four times when the slope changes polarity (between #2 and #3, between #3 and #4, between #4 and #5 and between #5 and #6). These are the turning points for this graph.

Answer from: Quest

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.

Answer from: Quest

Hello!

the answer is:

the correct option:

b. $x=2.23$

why?

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

$7^{x}=77$

then, using placing logarith with base 7 on both sides of the equation, we have:

$7^{x}=77log_{7}(7^{x})=log_{7}(77)x=log_{7}(77)x=2.2322$

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

$x=2.23$

hence, we have that the correct option:

b. $x=2.23$

have a nice day!

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