Below is the graph of a function, y = f (x).

(a) Draw a secant line on the graph above from x = 0 to x = 4. (copy the graph if you are writing your answers on a separate paper)


(b) What is the average rate of change of f (x) from x = 0 to x = 4? Show how you get your answer.

Answer:

Step-by-step explanation:

T = (m + b)x

Divide both side by (m + b):

[tex]\frac{T}{(m+b)} =\frac{(m+b)x}{(m+b)}[/tex]

Cancel out (m + b) and you have your answer!

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Answer:

9×3

and

-26

Step-by-step explanation:

9×3=27

27+-26

Answer:

[tex]\frac{1}{x^{12} }[/tex]

Step-by-step explanation:

Given [tex](\frac{x}{x^{-5}})^{-2}[/tex]

The Negative Exponent Rule states that, [tex]a^{-n} = \frac{1}{a^{n}}[/tex]

Basically, since you're raising the fraction inside the parenthesis to a negative exponent, the whole fraction becomes a denominator of 1:  [tex]\frac{1}{(\frac{x}{x^{-5}})^{2}}[/tex]

Then, you'll have to work on the denominator:

[tex]\frac{1}{(\frac{x}{x^{-5}})^{2}} = \frac{1}{\frac{x^{2} }{(x^{-5})^{2}}}[/tex]  

Next, you'll have to work on the divisor of x² (in the denominator), [tex](x^{-5})^{2}[/tex] by using the Power-to-Power Rule of Exponents: [tex](a^{m})^{n} = a^{mn}[/tex], which results in:

[tex](x^{-5})^{2} = x^{-10}[/tex]

Since it is a negative exponent, you'll have to apply the Negative Exponent Rule once again to the denominator.

[tex]\frac{1}{(\frac{x}{x^{-5}})^{2}} = \frac{1}{\frac{x^{2} }{(x^{-5})^{2}}} = \frac{1}{\frac{x^{2} }{x^{-10}}} = \frac{1}{\frac{x^{2} }{\frac{1}{x^{10}}}}[/tex]    

At this point, you could apply the Fraction rule onto the denominator: [tex]\frac{a}{\frac{b}{c}} = \frac{a*c}{b}[/tex]

So the denominator now becomes:

[tex]\frac{1}{\frac{x^{2} }{\frac{1}{x^{10}}}} = \frac{1}{x^{2}*x^{10} }[/tex]

Finally, you could apply the Product Rule of Exponents, [tex]a^{m}a^{n} = a^{m + n }[/tex] onto the denominator:

   [tex]\frac{1}{x^{2}*x^{10} } = \frac{1}{x^{2+10}} = \frac{1}{x^{12} }[/tex]

Therefore, the correct answer is: [tex]\frac{1}{x^{12} }[/tex]

Answer:

$28.08

Step-by-step explanation:

$33.17 - $12.82 = $20.35

75% of $20.35 = $15.26

$15.26 + $12.82 = $28.08

Step-by-step explanation:

according to the drawing:

the first domain : -1≤ x ≤ 0

the second domain : 0< x < oo

the total domain : [-1, oo)

the first range : 0 ≤ y ≤ 1

the second range : -1< y < oo

the total range : [0, oo)

so, the correct answer is

a. Domain: [-1, oo) Range : [0, oo)

Domain:-

Here

This is a piecewise function

So domain is

Range:-

Here thats

Answer:

There are no factor that you can find that when two factors are multiply together your get a product of -20 and when you add then you get -12

Step-by-step explanation:

We have that, how long it will take for Liu to catch Mariel is mathematically given as

t=3.076s

From the question we are told

Mariel and Liu are running a long-distance race. Mariel runs at a rate of 5.4 m/s, and Liu runs at a rate of 7.6 m/s. If Mariel has a 20 m head start, how long will it take for Liu to catch Mariel?

Generally the equation for the Average speed is  mathematically given as

[tex]v_a=\frac{5.4+7.6}{2}\\\\V_a=6.5m/s[/tex]

Therefore

How long it will take for Liu to catch Mariel is mathematically given as

[tex]t=\frac{20}{6.5}[/tex]

t=3.076s

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Answer:

C. 4.00 per person

Step-by-step explanation:

I say its 4.00 per person because in each row you mutiply the players and 4.00 you get the other side of the row. Ex 11 players multiplied by 4 dollars per person equals 44.00 dollars in total which the graph shows.

Answer:

every number that is less than -1

Step-by-step explanation:

Answer:

just get the cube root of 614

Answer:

68.42105263157895

Step-by-step explanation:

Answer:

68.42

Step-by-step explanation:

Answer:

6x +2=3

Step-by-step explanation:

x would represent the unknown number

The sum refers to addition

6 times a number would be 6x (you can use any variable, but for this example, I'm using x)

When you put it all together, it is 6x + 2 = 3

Answer:

21 and 13

Step-by-step explanation:

Answer:

B. 0.210

Step-by-step explanation:

Range is the minimum value subtracted from the maximum value. In this case 0.004 is the smallest value and 0.214 is the largest.

Range = 0.214 - 0.004 = 0.210 = B

The range set of the given data is 0.21.

The given data sets are,

0.004

0.007

0.011

0.011

0.012

0.020

0.200

0.214

We know that,

In statistics, the range is the difference between the highest and lowest values for a given data collection.

For instance,

if the given data set is 2,5,8,10,3, the range is 10 - 2 = 8.

As a result, the range can also be defined as the difference between the highest and lowest observations.

The range of observation is the name given to the outcome. In statistics, the range indicates the dispersion of observations.

Now to find the range set pf the given data,

Subtract minimum value to maximum value

Since maximum value = 0.214

And minimum value     = 0.004

Then range set = 0.214 - 0.004

                          =  0.21

Thus, range of set  ⇒ 0.21

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Answer:

1 3/8 as a decimal is 1.375

Step-by-step explanation:

It's a terminating decimal.

Answer:A 3%

Step-by-step explanation:

then go and swimand enjoy your holiday

Answer:

470

Step-by-step explanation:

x is the amount that represents 100 %

517 amount that represents 100%+10% increase = 110%

x = (517 *100) / 110 = 470 is the original amount

Answer: Like 1/3=2/6 and 2/3=4/6, 1/4=2/8 then 3/4=6/8.

Step-by-step explanation: Hope this help. hit me up if u need some more help

Answer:

1) 1/2 = 18/36 = 9/18 = 8/16 = 21/42 = 24/48

2) 5/6 = 40/48 = 10/12 = 25/30 = 15/18 = 20/24

3) 1/3 = 3/9 = 9/27 = 30/90 = 2/6 = 4/12

4) 3/4 = 18/24 = 12/16 = 6/8 = 15/20 = 27/36

5) 4/9 = 8/18 = 20/45 = 16/36 = 24/54 = 12/27

Step-by-step explanation:

The main explaination for this is to take your denominator -- your bottom number of the fraction -- and divide it by the denominator to which you're trying to compare it to. Multiply your numerator to the compared to find your full fraction.

For example, say the fraction is 1/2. You're trying to figure out it's equivalent through the pair _/100. Take your 100 and divide it by 2, your other denominator, which leaves you with 50. Take the 50 and multiply it by the compared numirator to find your full fraction, which in this case is 50/100.

Hopes this helps you!

Answer:

f(0) = -2.

Step-by-step explanation:

This question pertains to the y-intercept. By definition, the y-intercept is the point on the graph where it crosses the y-axis, and has coordinates, (0, b). It is also the value of y when x = 0.  Looking at the graph, the point where the line crosses the y-axis is (0, -2). The y-coordinate is the y-intercept, b.

Therefore, the value of the function when x = 0 is: f(0) = -2.

Answer:

Total expenses: $34,520

Money needed for profit: $34521

Is this a good idea: Not unless he is prepared for it to go under...

Step-by-step explanation:

Patrick's net income will be equal to $1178.41.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Patrick's gross earnings for the week are $1592.45. His deductions comprise 26% of his total compensation.

Patrick's net income will be calculated as below:-

26% of $1592.45 = 1592.45 x ( 26 / 100 ) = 414.037

Subtract the deduction from the gross amount:-

Net income = 1592.45 - 414.037 = $1178.41

Therefore, Patrick's net income will be equal to $1178.41.

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Answer: 5/8 as a decimal is expressed as 0.625.

Hope it helps!

Gone Fishing Four friends go fishing one day and bring home a total of 11 fish. If each person caught at least 1 fish, then C) One person caught fewer that 3 fish.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

It is given that Gone Fishing Four friends go fishing one day and bring home a total of 11 fish. If each person caught at least 1 fish, then we need to find the following must be true.

Therefore, the statement that is true C) One person caught fewer that 3 fish.

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Answer:

C

Step-by-step explanation:

4^3 x 4^5 =4^8

You add the exponents together because they have the same base and it's multiplication sum.