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ivanzaharov [21]
3 years ago
7

Which function , A or B has a greater rate of change ? Be sure to include the values for the rates of change in your answer . Ex

plain your answer in words please .

Mathematics
1 answer:
arsen [322]3 years ago
3 0
<h2>Answer:</h2>

A rate of change tells us  how one quantity changes in relation to another quantity. In a mathematical language, we can write this as follows:

Rate \ of \ Change=\frac{Change \ in \ y}{Change \ in \ x}

For linear functions. the rate of change is the slope of the line. Thus:

FOR THE TABLE:

By taking two points we can get the rate of change, so let's take (1,5) \ and \ (2,7):

ROC=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ ROC=\frac{7-5}{2-1} \\ \\ ROC=\frac{2}{1} \\ \\ \boxed{ROC=2}

FOR THE GRAPH:

Let's take (1,1) \ and \ (2,4):

ROC=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ ROC=\frac{4-1}{2-1} \\ \\ ROC=\frac{3}{1} \\ \\ \boxed{ROC=3}

As you can see, 3>2 so <em>the ROC of the function given by the graph is greater than the ROC of the function given by the table.</em>

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Which of the following points would be on the graph of the equation: y=-4x+6
lawyer [7]

Answer:

Option 2: (10, -34)

Step-by-step explanation:

Given the linear equation in slope-intercept form, y = -4x + 6, where the <u>slope</u>, <em>m</em> = -4, and the <u>y-intercept</u>, <em>b</em> = 6:

An easier way of finding out which of the given options is a solution is to substitute their values into the equation to see whether they will provide a true statement.

<h3>Option 1: (-10, 34)</h3>

Substitute x = -10, and y = 34 into the equation.

y = -4x + 6

34 = -4(-10) + 6

34 = 40 + 6

34 = 46 (False statement). Hence, Option 1 is not a solution to the given equation.

<h3>Option 2: (10, -34)</h3>

Substitute x = 10, and y = -34 into the equation.

y = -4x + 6

-34 = -4(10) + 6

-34 = -40 + 6

-34 = -34  (True statement). Hence, Option 2 is a solution to the given equation.

<h3>Option 3: (5, 10)</h3>

Substitute x = 5, and y = 10 into the equation.

y = -4x + 6

10 = -4(5) + 6

10 = -20 + 6

10 = -14  (False statement). Hence, Option 3 is not a solution to the given equation.

<h3>Option 4: (-5, 10)</h3>

Substitute x = -5, and y = 10 into the equation.

y = -4x + 6

10 = -4(-5) + 6

10 = 20 + 6

10 = 26  (False statement). Hence, Option 4 is not a solution to the given equation.

Therefore, the correct answer is Option 2: (10, -34).

7 0
2 years ago
Craig’s June water bill listed two meter reading. The previous reading was 6,372 ccf and the present reading is 6501 CFC. How mu
romanna [79]

Answer: Craig's household use of water during the billing period = 129 CFC

Explanation:

Since we have given that

Craig's June water meter's previous reading =6372 CFC

Craig's water meter's present reading =6501 CFC

Craig's household use during the billing period =6501 -6372= 129 CFC

So, we get that

Craig's household use of water during the billing period = 129 CFC


8 0
3 years ago
_______________________<br> can someone help me solve this question? Thank you.
Zinaida [17]

Answer:

-60

Step-by-step explanation:

Factor the problem out using FOIL.

The end result is: −60x^{2}−84x+9

The value of coefficent a (the number in front of the x^2) is -60.

8 0
2 years ago
In one city, 3,546 people attended a concert but in another city, 9,238 people attended the same band's concert. Estimate how ma
Angelina_Jolie [31]
The answer is 5,7000
7 0
3 years ago
What does the remainder theorem conclude given that f(x)x+3 has a remainder of 11?
Slav-nsk [51]

By the remainder theorem of polynomial division, the complete equation is f(-3) = 11

<h3>How to complete the blanks?</h3>

The equation is given as:

f(x)/x + 3

Set the divisor to 0

x + 3 = 0

Solve for x

x = -3

Given that the quotient has a remainder of 11.

It means that:

f(-3) = 11

Hence, the complete equation is f(-3) = 11

Read more about remainder theorem at:

brainly.com/question/13328536

#SPJ1

5 0
2 years ago
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