Answer
y = 1(x +1) - 3
Explanation
A quadratic equation of the form y = ax^2 + bx + c
This written in complete the square form provides you with the vertex (either a maximum or minimum point depending on the equation).
This results in y = a(x + p) + q
Where - p is the x value and q is the y value of turning point.
For graph 22, x = -1 and y = -3
Therefore, the equation is of the form
y = a(x + 1) - 3 (*)
We still need the value a, this can be obtained by using the y-intercept we are given.
We are told x = 0 when y = -2
Substitute this in (*) equation:
-2 = a(0+1) - 3
-2 = a - 3
a = 1
Therefore final equation is
y = 1(x +1) - 3
This should provide you with the train of thought of how the second question should also be tackled.
If unsure about why the equation
y = a(x + p) + q gives the vertex ask in comments I will respond
Answer:
C) 0.19
Step-by-step explanation:
A correlation coefficient is a measure of how well the line of best fit fits the data. The higher the correlation coefficient, up to 1.0 or -1.0, the better the fit. A positive correlation coefficient means an increasing data set, while a negative correlation coefficient means a decreasing data set.
We can see that this line of best fit is increasing, so our correlation coefficient will be positive.
However we can also see that the points are fairly scattered; this means this is not a very good fit. This means that 0.19 is the better fit.
We all know, savings account have "Compound Interest"
So, Here, On $100 deposit, amount of Interest = $12
So, for $50, it would be: $6
Then, for $300, it is: $36
b) If you deposit $200, then balance after 1 year,
A = P(1 + r)^t
A = 200(1 + 0.03)^1
A = 200(1.03)
A = $206
Now, Balance with $150
A = 150 (1 + 0.03)^1
A = 150(1.03)
A = 154.5
Difference = 206 - 154.5 = $51.5
In short, Your Answer would be: $51.5
Hope this helps!
The answer is 7 teaspoons for one cup
