Answer:
For the function V(t)=24300(1.37)t, the rate of increase is 37%.
Step-by-step explanation:
The function represents the value (V) of the car over time (t). This type of function is exponential growth, which means for each year, the value of the vintage car will increase by a rate of 37%. Exponential growth functions are represented by the equation f(x)=ab^x, where 'a'=initial value, 'b'=the rate and 'x' represents time. In this case, our initial value of the car is $24,300 and the rate is 1.37. A rate of 1.37 indicates that the car will retain its initial value (1) as well as increase be an additional 37 percent (.37) over time.
Answer:
3/2
Step-by-step explanation:
Rise over run meaning how many up over how many over (would be a negative rise if the line was \ instead of /)
find where the line intersects with the corner of the graph lines and plot from there.
Mark me as brainliest if this helps!
9514 1404 393
Answer:
21x² +20x +100 = 0
Step-by-step explanation:
We know the sum of the roots of x² +bx +c = 0 is -b, and their product is c. If the roots are α and β, then ...
The sum of the roots of the new equation will be ...
-b' = (α+1/β)+(β+1/α) = (α+β) +(1/α +1/β) = (α+β)(1 +1/(αβ))
The product of the roots of the new equation will be ...
c' = (α+1/β)(β+1/α) = αβ +2 +1/(αβ)
Using the above relations for (α+β) and αβ, we find that ...
-b' = (-b)(1 +1/c)
c' = c + 2 + 1/c
For the given equation, our definition of b and c is ...
b = 2/3
c = 7/3
so the new equation has values ...
b' = (2/3)(1 + 1/(7/3) = (2/3)(10/7) = 20/21
c' = 7/3 + 2 + 1/(7/3) = 13/3 + 3/7 = 100/21
So, the equation with the roots of interest is ...
x² +20/21x +100/21 = 0
Multiplying by 21 gives ...
21x² +20x +100 = 0
Plug in 3a for x,
2(3a)^2 is 18a^2, then add five
Answer: 18a^2 +5
Answer:
Negative correlation.
Step-by-step explanation:
Negative correlation means that as x increases, y decreases
Positive correlation means that as x increases, y also increases.
No correlation means that neither of the two above cases happens.
In the graph, we can see that on the right (when x is negative) the general y values are larger.
As x increases, the y-values decrease.
(Particularly, we could adjust these data with a linear equation with a negative slope)
Then this is a negative correlation.
