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3 years ago

Find the average rate of change of f(x) sq rt x+6 = on [4, 9]. Round your answer to the nearest hundredth.

Mathematics

1 answer:

ZanzabumX [31]3 years ago

5 0

Answer:

Step-by-step explanation:

The average rate of change is an algebra thing, whereas the instantaneous rate of change is a calculus thing. Since this is not a straight line we are simply finding the slope of the straight line that connects the 2 coordinates (4, y) and (9, y). To find the y's in each case, sub in the x value and solve for y:

If $y=\sqrt{x+6}$ when x = 4, then $y=\sqrt{10}$ and the coordinate is $(4,\sqrt{10})$ .

Likewise for the other coordinate when x = 9. $y = \sqrt{15}$ and the coordinate is $(9,\sqrt{15})$

Using the slope formula,

$m=\frac{\sqrt{15}-\sqrt{10} }{9-4}$ and

$m=\frac{\sqrt{15}-\sqrt{10} }{5}$ and

m = .14 rounded

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What is the equation of the line represented by the table below? X -2 -1 0 1 2 - y 16 11 6 1 -4 O A. y = -5x+9 OB. y = -5x+6 O C

Nina [5.8K]

Option (c) is the correct answer

The equation y = -5x + 6 is represented by the given table i.e.

x -2 -1 0 1 2

y 16 11 6 1 -4

Given, a table

x -2 -1 0 1 2

y 16 11 6 1 -4

Now, we have to find the equation of the line, satisfying the given values

As, the equation

y = -5x + 6 satisfying the given set of values,

So, the equation y = -5x + 6 is represented by the given table.

Hence, the equation y = -5x + 6 is represented by the given table.

Learn more about Linear Equations here here brainly.com/question/2030026

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1 year ago

If you walk forward 5 feet and then walk backward 5 feet, you will end up exactly where you started. For each of the actions bel

crimeas [40]

Answer:

Step-by-step explanation:

A. Walk down 10 steps

B. Cool down 10 degrees

C. Travel north 10 km

D. Spend 6 dollars

F. Run forward 9 steps

7 0

3 years ago

If the expression x-3 has a value of -5,then which of the following represents the value of 3x-9

Angelina_Jolie [31]

Answer:

-15

Step-by-step explanation:

Italics by itself are comments, italics and underlines are helpful rules, bold highlights little facts.

x-3=-5 : since the expression 'x-3' is being assigned the value '-5'

We then isolate or leave the variable 'x' on one side, usually the left-hand side and move all constants (numbers without letters attached such as 3, 4, 5..etc.) and variables (letters such as x, y, a, b..etc.) that do not have 'x', to the right-hand side of the equality symbol (=). This also includes terms such as 5x, -2y, 50z..etc.

(Remember that the opposite of multiplication is division and vice versa and the opposite of addition is subtraction and vice versa).

To do that, we add 3 to both sides of the equation, because the opposite of subtraction is addition (in this case 3 is being subtracted by x, therefore in order to cancel 3 on the left, we do the opposite of the operation). By doing this, we effectively cancel 3 on the left and bring it to the right-hand side. After all, 3 cannot be in two places at once (well not in this equation).

x=-5+3 which is equal to -2.

Hence, x=-2

Now that we know what 'x' is we can work on the other expression: 3x-9

Substitute the value for 'x' (-2 is what we got) into the 'x' in the expression.

3(-2)-9=?

(Remember that a positive number multiplied by a negative number will ALWAYS be a negative number. In other words, (+) × (-) = (-). Yes, this also includes a negative number multiplied by a positive number).

Therefore, 3×(-2) will equal -6.

-6-9=-15

Hence, 3x-9=-15.

To make sure your answer is correct, do the equation backwards. Add 9 to -15 which would then give you -6.

Here's how that looks: 3x-9 (+9)= -15 (+9).

You would then be left with 3x=-6.

If you remembered the rule typed previously, I said in order to isolate 'x' we do the opposite of the operation. 3x means '3' multiplied by 'x', therefore the opposite of multiplication is division:

3x(÷3)=-6(÷3) ----> 3 divided by 3 equals 1. Anything multiplied by 1 will be equal to itself (x*1= x)

(An asterisk can also symbolise multiplication).

Therefore when 3x is divided by 3, the constants would cancel each other out, 1 would be left looking like this: 1x=... and 1x is the same as x by itself.

-6 divided by 3 is equal to -2 (a positive divided by a negative will always be negative and vice versa).

Hence, x=-2.

8 0

3 years ago

Determine whether the graph is the graph of a function. Yes or No

tankabanditka [31]

A function is a rule that relates inputs to outputs.It takes elements from the domain and relates them to the codomain. It relates each element of a set with exactly one element of another set. In the graph, we see a single element of a set being mapped to different codomain. Thus, the graph does not represent a function

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3 years ago

A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the number of shoppers is 10

Marta_Voda [28]

Answer:

1138

Step-by-step explanation:

From the information given:

We can represent it perfectly in an exponential form:

$m = p(q)^x$