Answer:
if you mean 6/7ths, then the answer is 420$
Step-by-step explanation:
Plug x = 0 into the function
f(x) = x^3 + 2x - 1
f(0) = 0^3 + 2(0) - 1
f(0) = -1
Note how the result is negative. The actual number itself doesn't matter. All we care about is the sign of the result.
Repeat for x = 1
f(x) = x^3 + 2x - 1
f(1) = 1^3 + 2(1) - 1
f(1) = 2
This result is positive.
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We found that f(0) = -1 and f(1) = 2. The first output -1 is negative while the second output 2 is positive. Going from negative to positive means that, at some point, we will hit y = 0. We might have multiple instances of this happening, or just one. We don't know for sure. The only thing we do know is that there is at least one root in this interval.
To actually find this root, you'll need to use a graphing calculator because the root is some complicated decimal value. Using a graphing calculator, you should find the root to be approximately 0.4533976515
Answer:
3.5
Step-by-step explanation:
To find the constant of proportionality between y/x you investigate the trend in values of x with corresponding values of y
For this case, when x =1, y=3.5
when x=2, y=7
Taking in case 1, y/x = 3.5/1 = 3.5
In case 2, y/x= 7/2 = 3.5
But you know that the constant of proportionality k is given by;
y=kx------------------------making k subject of formula
y/x=k
Hence in this case, your constant of proportionality is 3.5
Answer:
Let's start with part B. if it was originally 10 cm tall and it goes up 0.5 cm. each day, then we know that to go up one cm it needs two days. With that information we can say that 8*2 = 16. So it needs 17 days to go up 8.5 cm which would make it 18.5 cm tall.
Step-by-step explanation:
f(x) = 0.5x + 10
0.5x + 10 = 18.5
0.5x = 18.5 - 10
0.5x = 8.5
x = 8.5/0.5
x = 17 days
