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aliya0001 [1]
3 years ago
14

Which function is increasing at the highest rate?

Mathematics
1 answer:
prisoha [69]3 years ago
4 0

Answer:

Option B: 12x - 6y = -24

Step-by-step explanation:

A function is said to be increasing if it has a slope greater than 0.

The function with the largest slope has the highest increasing rate.

Here, for the graph in option A, the function is decreasing with increasing x. So, it has a negative slope.

We need to convert equation of option B into standard form and then determine its slope.

The standard form of a straight line is y = mx + b, where m is the slope of the line and b is the y-intercept.

Now, given function is:

12x - 6y = -24\\ 6y = 12x + 24\\ y = \frac{12}{6}x+\frac{24}{6}\\ y = 2x + 4

Therefore, the slope is 2.

Option C:

Slope is given as,

m_{C}=\frac{g(x_{2}-g(x_{1})}{x_{2}-x_{1}} =\frac{-4-(-5)}{2-1}=\frac{-4+5}{1}=1

Therefore, the slope is 1.

Option D:

Equation of a line with a and b as x and y intercepts is given as,

\frac{x}{a}+\frac{y}{b}=1

Here, a = 8 and b = -4

∴ \frac{x}{8}+\frac{y}{-4}=1\\ \frac{x-2y}{8}=1\\ x-2y=8\\ 2y=x-8\\y=\frac{1}{2}x-4

Therefore, the slope is \frac{1}{2}.

Hence, the largest slope is for option B and thereby the highest increasing rate.

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Which expression is equivalent to5(h+9)
Fantom [35]

Answer:

The answer would be 5h+45

Step-by-step explanation

5 (h+9)

You need to convert this equation into the equation

you multiply 5 by h and get 5h

Then multiply the same number outside the parenthesis, 5, by 9 which will give you the answer 45

Once you have 5h and 45 just put it together with the addition symbol which will will equal:

5 (h+9) = 5h + 45

Your Welcome! (hopefully this answers your question)

4 0
2 years ago
How do you find the average rate of change for f(x)=9-x^2 between two points: x=0 to x=3?
ICE Princess25 [194]

Answer:

The average rate of change is -3.

Step-by-step explanation:

We are given the function:

f(x)=9-x^2

And we want to find the average rate of change from <em>x </em>= 0 to <em>x </em>= 3.

In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.

For our first endpoint at <em>x</em> = 0, our function evaluates to:

f(0)=9-(0)^2=9

So, our first point is (0, 9).

For our second endpoint at <em>x</em> = 3, our function evaluates to :

f(x)=9-(3)^2=0

So, our second point is (3, 0).

Then by the slope formula, our average rate of change will be:

\displaystyle m=\frac{0-9}{3-0}=\frac{-9}{3}=-3

3 0
2 years ago
How do you express equivalent equation
ExtremeBDS [4]
Http://www.icoachmath.com/math_dictionary/equivalent_equations.html

Here's a website that might help
8 0
3 years ago
Which of these expressionis is <br> equivalent to x^4-5x+3/x^2+7
bonufazy [111]

Next time, please list the possible answer choices.  Without them, all I can do is to attempt this problem without having those choices as guidelines.


I must assume that your expression x^4-5x+3/x^2+7 actually meant:

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x^4  -  ---------------

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and I assume that this result was one of the several possible answer choices.

6 0
3 years ago
Read 2 more answers
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Paraphin [41]
6 pieces can be cut from a board
7 0
3 years ago
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