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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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to get a certain shade of green paint, Melissa decides to mix 3 gallons of blue paint with 2 gallons of yellow paint. How much b
maw [93]
Melissa will need 1.5 gallons of blue paint for each gallon of yellow paint.
3 0
3 years ago
The variance of a stock's returns can be calculated as the:
Tamiku [17]

Answer:

The correct option is b.

Step-by-step explanation:

The formula for standard deviation is

\sigma^2=\frac{\sum {(x-\overline{x})^2}}{n}

where, \overline{x} is mean of the data and n is number of observation.

The variance of a stock's returns can be calculated by the above formula.

Variance of stock's returns is the average value of squared deviations from the mean.

Therefore the correct option is b.

4 0
3 years ago
What is the solution of the inequality x^3+3x^2>7x+6
sveta [45]

Answer:

<u><em>x>2</em></u>

Step-by-step explanation:

<u><em>x3+3x2=7x+6</em></u>

<u><em>x3+3x2−(7x+6)=7x+6−(7x+6)</em></u>

<u><em>x3+3x2−7x−6=0</em></u>

<u><em>(x−2)(x2+5x+3)=0</em></u>

<u><em>x−2=0 or x2+5x+3=0</em></u>

<u><em>x=2 or x=−0.6972243622680054 or x=−4.302775637731995</em></u>

<u><em>x<−4.302776</em></u>

<u><em>−4.302776<x<−0.697224</em></u>

<u><em>−0.697224<x<2</em></u>

<u><em>x>2(Works in original inequality)</em></u>

3 0
2 years ago
Can someone pls help me with this question pls NUMBER 6
katrin2010 [14]

Supplementary angles definition: They add up to 180°

There are several ways to prove a parallelogram:

1. Opposite sides theorem converse

2. Opposite angles theorem converse

3. Parallelogram diagonals theorem converse

4. Parallel congruent sides theorem

∠P + ∠Q = 180° --1

∠P + ∠S = 180° --2

1: ∠P = 180° - ∠Q

Sub 1 into 2:

180° - ∠Q + ∠S = 180°

180° + ∠S = 180° + ∠Q

∠S = ∠Q

Or you can try saying the opposite sides are parallel, since they are interior angles and those are straight lines

5 0
3 years ago
The first three steps in determining the solution set of the system of equations algebraically are shown in the table. y = −x2 +
lianna [129]
You have a system of equations \left \{ {{y = -x^2+2x-9} \atop {y =-6x+6}} \right..

1. Substitude right side of second equation into the left side of the first equation: -6x+6=-x^2+2x-9.

2. Solve this equation:
 x^2-2x+9-6x+6=0, \\ x^2-8x+15=0, \\ D=(-8)^2-4\cdot 1\cdot 15=64-60=4,  \\ \sqrt{D}=2,  \\ x_{1,2}=\dfrac{8\pm 2}{2  } =3,5.

3. Find y:
for x_1=3, y_1=-6\cdot 3+6=-18+6=-12,
for x_2=5, y_2=-6\cdot 5+6=-30+6=-24.

4. The solutions of the system are: (3,-12) and (5,-24).
Answer: Correct choice is A.


7 0
3 years ago
Read 2 more answers
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