Answer:
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Answer:
( x+1)^2 = 4
Step-by-step explanation:
x^2+2x-3=0
Add 3 to each side
x^2 +2x = 3
Take the coefficient of x
2
Divide by 2
2/2 =1
Square it
1^2 =1
Add to each side
x^2 +2x = 3
x^2 + 2x+1 = 3+1
( x+1)^2 = 4
Take the square root of each side
x+1 = ±2
Subtract 1 from each side
x+1-1 = -1 ±2
x = -1+2 x = -1-2
x =1 x = -3
Answer:
![6x^2+ 5x](https://tex.z-dn.net/?f=6x%5E2%2B%205x)
![-x^2 +5x](https://tex.z-dn.net/?f=-x%5E2%20%2B5x)
Step-by-step explanation:
Expression is a polynomial when it contains variables, numbers and operators. Expression that contains fractional exponent is not a polynomial. Expression with variable in the denominator is not a polynomial.
![6x^2+ 5x](https://tex.z-dn.net/?f=6x%5E2%2B%205x)
It is a polynomial
![-7x^2+ \frac{5}{3x}](https://tex.z-dn.net/?f=-7x%5E2%2B%20%5Cfrac%7B5%7D%7B3x%7D)
It is not a polynomial because x is in the denominator
![-x^2 +5x](https://tex.z-dn.net/?f=-x%5E2%20%2B5x)
It is a polynomial
![x^2+5x ^ \frac{1}{5}](https://tex.z-dn.net/?f=x%5E2%2B5x%20%5E%20%5Cfrac%7B1%7D%7B5%7D)
It is not a polynomial because it has fractional exponent
PART A:
The data is plotted in the graph below. The line best fit is drawn to show the trend of the data. Since the plots form a cluster that follows the line best fit and there are no outliers, the most likely coefficient is 0.94 which is a strong positive correlation.
PART B:
The value of slope between x = 5 and x = 10 is
Slope = (3-1) ÷ (10-5) = 2/5
The slope represents the rate of change of the radius, which is 2/5 for every 5 days
PART C:
The data in the table represents correlation, that the algae grow longer as the days increase. It might not be necessary a causation because the growth of algae doesn't necessarily depend on the number of days.
Ok from my math knowledge here is what I believe is the answer for each of these:
1) elimination: because you can just multiply the bottom equation (both sides of it!) by 2, and so eliminate the y variable. and from there it's easy to solve for x, and then you can use the answer for x to find y by substitution into one of the equations.
2) substitution: because you can see that it's easy to solve for either x OR y. and once you have the equation for either x= something or y= something you can just substitute that into one of the equations.