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dezoksy [38]
3 years ago
14

HELP ME WITH THIS PLEASE! What is the equation? OR GROWTH RATE

Mathematics
2 answers:
balu736 [363]3 years ago
8 0
To start, the first thing you need to do is to find the slope of your x and y values, or in other words, your rate of change. To do this, use the slope intercept formula or (y2-y1)/(x2-x1) and you can use any two pairs of x and y values.

Using the x and y values of (2, 96) and (3, 76.80), plug the values into the slope intercept formula. This would look like this:
(76.80-96)/(3-2)

When you simplify, you should get -19.2/1 or simply -19.2 as your slope. 

Then, using the linear equation y=mx+b, plug in a coordinate point into the x and y variables and plug your slope into the m value in order to solve for the value of your y-intercept, or b.
This would look like this:
96=-19.2(2)+b

When you simplify, you will get 96=-38.4+b and when you solve for b, you get that b=134.4

Now that you have your slope and your y-intercept, you can conclude that the equation to this input/output chart would be 
y=-19.2x+134.4





Gwar [14]3 years ago
7 0
It would help if you would post the complete question not just a few points in a table. Without all the information provided in the question ( initial value??); I can not be certain of the solution. Looking at the table, you can tell the rate is not constant, it changes between points. The data best fits an exponential decay graph. When plotted in excel it gives the equation:
y = 150 e^{-0.223x}

with a perfect R² = 1
This equation shows that whatever this data represents started at 150 and exponentially decayed/decreased at a rate of -0.223
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Please help me i really need help
joja [24]

Answer:

68

Step-by-step explanation:

15% of 80 is 12 so you subtract 12 from 80 and thats 68.

5 0
2 years ago
Graph the function and analyze it for domain, range, continuity, increasing or decreaseing behavior, symmetry, boundedness, extr
Sunny_sXe [5.5K]

Answer:

f(x) = 3 \cdot 0.2^x

Step-by-step explanation:

f(x) = 3 \cdot 0.2^x


Domain of f: "What values of x can we plug into this equation?" This makes sense for all real numbers so the domain is \mathbb{R}

Range of f: "What values of f(x) can we get out of the function?" From the graph we see we can get any real number greater than 0 out of the function by choosing a suitable x-value in the domain. The range is therefore (0, \infty).

Continuity: Since the graph is one, unbroken curve (i.e. a curve that can be drawn in one movement without taking your pen off the paper). We see that "roughly speaking" the function is continuous.

Increasing or decreasing behaviour: For all x in the domain, as x increases, f(x) decreases. This means the function exhibits decreasing behaviour.

Symmetry: It is clear to see the graph of f(x) has no symmetry.

Boundedness: Looking at the graph we see it is unbounded above as when we choose negative values, the graph of f(x) explodes upwards exponentially. Choose a value of x, plug it in, next choose (x-1), plug this in and we observe f(x-1) > f(x) for all x in the domain.

The function is however bounded below by 0: no value of x in the domain exists which satisfies f(x) < 0.

Extrema: As far as I can tell, there are no turning points on the curve. (Is this what you mean by extrema?)

Asymptotes: Contrary to the curve's appearance, there are no vertical asymtotes for this curve. The negative-x portion of the curve is just growing so quickly it appears to look like an asymptote. There is a value of f(x) for all x<0. There is however a horizontal asymtote: y=0.

End behaviour: As x \rightarrow \infty, f(x) \rightarrow 0. As x \rightarrow -\infty, f(x) \rightarrow +\infty

5 0
3 years ago
Help with geometry please! will mark brainliest
Vesna [10]
1. The segment LO bisects one of the angles of the triangle shown in the figure attached, and divide the segment NM in two segments: NO and OM. Therefore, you must apply the Triangle Angle Bisector Theorem, which is shown below:

 LN/LM=NO/OM

 LN=10
 LM=18
 NO=4
 OM=x (The value you want to find)

 2. When you substitute this values in LN/LM=NO/OM, you have:

 10/18=4/x
 10x=(18)(4)
 x=(18)(4)/10
 x=72/10

 3. Finally, you obtain:

 x=7.2

 The answer is: The value of "x" is 7.2
5 0
3 years ago
X + 2 = 5x solve for x.
ivanzaharov [21]

Answer:

x = 1/2 or 0.5

Step-by-step explanation:

Subtract 2 from both sides of the equation

x + 2 - 2 = 5x -2

Simplify

x = 5x -2

Subtract 5x from both sides of the equation

x = 5x -2

x - 5x = 5x - 2 - 5x

Solution

x = 1/2

Hope this helps!! :))

https://brainly.com/

8 0
2 years ago
Read 2 more answers
The linear equation of the initial (red ) incline would be y = __x +__
RideAnS [48]

Answer:

y=\underline {1.5}x+\underline 0

Step-by-step explanation:

From the graph,

The initial red incline is a straight line passing through the origin.

So, a straight line passing through the origin is of the form:

y=mx+0

Where, 'm' is the slope.

Now, the slope of a given as the change in y value to change in x value.

Consider the two end points of the red line (0, 0) and (4, 6).

The slope with two points (x_1,y_1)\ and\ (x_2,y_2) on the line is given as:

m=\frac{(y_2-y_1)}{(x_2-x_1)}

Plug in x_1=0,y_1=0,x_2=4,y_2=6. Therefore, slope is:

m=\frac{6-0}{4-0}\\m=\frac{6}{4}=1.5

Hence, the equation of the initial red incline is:

y=\underline {1.5}x+\underline 0

3 0
3 years ago
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