The function that best fits the graph points is; B: y = 65.0778 * 772.9605ˣ
<h3>How to Interpret Function Graphs?</h3>
From the given graph, we can see that is parabolic form and as such we can say it is an exponential function.
Looking at the options, only option B is in exponential form and as such, we will take one point on the graph to check if this is the right function.
Let us use the coordinate (0.9, 26000)
y = 65.0778 * 772.9605ˣ
y = 65.0778 * 772.9605^(0.9)
y = 25837.76
This is very close and as such is the correct option.
Read more about Function Graphs at; brainly.com/question/14323743
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19 you could’ve just used the calculator lol
Step-by-step explanation:
f(x) = x² + x + 3/4
in general, such a quadratic function is defined as
f(x) = a×x² + b×x + c
the solution for finding the values of x where a quadratic function value is 0 (there are as many solutions as the highest exponent of x, so 2 here in our case)
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 1
c = 3/4
x = (-1 ± sqrt(1² - 4×1×3/4))/(2×1) =
= (-1 ± sqrt(1 - 3))/2 = (-1 ± sqrt(-2))/2 =
= (-1 ± sqrt(2)i)/2
x1 = (-1 + sqrt(2)i) / 2
x2 = (-1 - sqrt(2)i) / 2
remember, i = sqrt(-1)
f(x) has no 0 results for x = real numbers.
for the solution we need to use imaginary numbers.
By using a scatter plot we can get the relationship of two variables or correlation.
There will be two types of correlation.
If the data of the plot show a positive slope of the estimated line then it will be a positive correlation.
Now a correlation value lie between 0 to 1 if it is very close to 0 like 0.1 , 0.2 then we can say the correlation is weak psitively correlated. and if it will be close to 1 like 0.8 or 0.9 then the correlation will be strong.
Similarly if slope of the estimated line will be negative then it will be a negative correlation.
From the above scatter plot notice that it has a negative slope and we can draw a fair estimate line on this scatter plot. So, there is strong negative correlation.
Hence the correct choice is -0.8.
