Answer:
B. b = 3a + 2
Step-by-step explanation:
We can write the equation in slope-intercept form as b = ma + c, where,
m = slope/rate of change
c = y-intercept/initial value
✔️Find m using any two given pair of values, say (2, 8) and (4, 14):
Rate of change (m) = change in b/change in a
m = (14 - 8)/(4 - 2)
m = 6/2
m = 3
✔️Find c by substituting (a, b) = (2, 8) and m = 3 into b = ma + c. Thus:
8 = 3(2) + c
8 = 6 + c
8 - 6 = c
2 = c
c = 2
✔️Write the equation by substituting m = 3 and c = 2 into b = ma + c. Thus:
b = 3a + 2
Answer:
Part of work left to finish after two work hours is 7/20
Step-by-step explanation:
Firstly, we need to calculate their joint work rate
That will be;
1/(1/5 + 1/8) = 1/(13/40) = 40/13
This means that they will complete the task in 40/13 hours
1 whole part takes 40/13
x part will take 2 hours
x * 40/13 = 2
40x = 26
x = 26/40
So the part that will be completed in two hours is 26/40
This means that the part left to complete will be:
1 - 26/40 = 14/40 = 7/20
Answer:
The radius of convergence is half of the length of the interval of convergence. If the radius of convergence is R then the interval of convergence will include the open interval: (a − R, a + R). To find the radius of convergence, R, you use the Ratio Test.
I think the answer is 2 and -15. Because 2 times - 15 is -30 and 2 and -15 can be added to -1.
Answer:

Step-by-step explanation:
In order to add or subtract numbers in scientific notation, the powers of ten must have the same exponent. In this caes the diameter of an average human body cell is a power of -4 and the diameter of a plant cell is a power of -3. In order to add them, we can move the decimal over for the body cell diameter:

Add the two values: 