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Feliz [49]
3 years ago
9

Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope

over each part. (5 points)
Mathematics
1 answer:
Bad White [126]3 years ago
6 0

Answer:

Pretty simple!

Step-by-step explanation:

First, you need to know about exponential functions. They are like linear functions, but either increase or decrease their rate as they go further along the x-axis.

Linear functions take a simple form: Just a line. Not really much to it!

Their equation is: y=mx+b

Yeah! Now onto Exponential Functions.

Exponential functions are very interesting. This could be that they are hard to solve sometimes, or that I spent over half a year studying them.

Their Graphs usually look like a line that keeps getting lower or higher as they progress.

Essentially, if they keep getting higher and higher(Y-axis wise), this means that they are increasing. Likewise, if they keep getting lower and lower, this means they are decreasing. Pretty simple, right?

Now, to state the slope over each part. To do that, I'm pretty sure you have to find two points that describe that area, use the formula for slope(Below), and I would think you are done.

m=\frac{y_{1} -y_{2} }{x_{1} -x_{2}}

Hope this helps, and please correct me if I'm wrong!

Stay Safe!

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Round to the nearest place value and write in scientific notation 1,402,941,487
maksim [4K]

Answer: d

Step-by-step explanation:

8 0
3 years ago
A simple random sample of 44 men from a normally distributed population results in a standard deviation of 10.7 beats per minute
sladkih [1.3K]

Answer:

Step-by-step explanation:

The Hypothesis :

H0 : σ = 10

H1 : σ ≠ 10

The Chisquare statistic, χ² ;

χ² = [(n-1) * s²] ÷ σ²

Sample size, n = 44 ; sample Standard deviation, s = 10.7 ; population standard deviation, σ = 10

χ² = [(44 - 1) * 10.7²] ÷ 10²

χ² = [43 * 114.49] ÷ 100

χ² = [4923.07] ÷ 100

χ² = 49.2307

Using the Pvalue from Chisquare calculator :

degree of freedom, df = n - 1 = 44 - 1 = 43

Pvalue = 0.238

7 0
3 years ago
7)
Llana [10]

Answer:

Step-by-step explanation:

If the first floor of the Willis Tower is 21 feet high. and each additional floor is 12 feet high, then the floor heights as we move from one floor to another we keep increasing by 12feets and forms an arithmetic progression as shown;

21, (21+12), (21+12+12), ...

<em>21, 33, 45...</em>

a) To write an equation for the nth floor of the tower, we will have to find the nth term of the sequence using the formula for finding the nth term of an arithmetic sequence.

The nth term of an arithmetic sequence is expressed as T_n = a + (n-1)d

a is the first term = 21

d is the common difference = 33-21 = 45-33 = 12

n is the number of terms

Substituting the given parameters into the formula;

T_n = 21+(n-1)*12\\T_n = 21+12n-12\\T_n = 21-12+12n\\T_n = 9+12n

<em>Hence the equation for the nth floor of the tower is expressed as </em>T_n = 9+12n<em></em>

<em></em>

b) To get the height of the 65th floor, we will substitute n = 65 into the formula arrived at in (a)

T_n = 9+12n\\T_{65} = 9 + 12(65)\\T_{65} = 9+780\\T_{65} = 789 ft

<em>Hence the height of the 65th floor is 789feets.</em>

4 0
2 years ago
The football coach bought enough sports mix to make 60 L of a sports drink.
Ilya [14]

the coach makes a total volume of 60 L of a sports drink

we have to find the number of cups he can fill with the drink

1 cup is equivalent to 0.5 pints

so we have to first convert L to pints

1 L = 2.11 pt

then 60 L = 126.6 pt

the volume of sports drink made is 126.6 pt

so 0.5 pt make - 1 cup

then 126.6 pt make - 1 / 0.5 x 126.6 = 253.2 cups

he can make 253 full cups and 0.2 of a cup

answer is 253.2 cups

4 0
3 years ago
Read 2 more answers
Find the coordinates of the midpoint of (-8,-3) and (2,-5)
Jet001 [13]
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((-8+2)/2, (-3-5)/2)

(-6/2, -8/2)

(-3,-4)
8 0
3 years ago
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