Answer:
B. f(x) = 5x - 7
Step-by-step explanation:
✔️Using the table of values given, find the slope (m) and y-intercept (b) of the line of the graph that represents the table, then write the function in slope-intercept form.
✔️Slope (m) using (0, -7) and (2, 3):
Slope (m) = ∆y/∆x
Slope (m) = (3 -(-7))/(2 - 0)
Slope (m) = 10/2
Slope (m) = 5
✔️ y-intercept (b):
b = -7, because where x = 0, y = -7, which is the point where the y-axis is intercepted by the line of the graph.
✔️Write the linear function in slope-intercept form by substituting m = 5 and b = -7 into f(x) = mx + b
Thus:
f(x) = 5x + (-7)
f(x) = 5x - 7
Therefore, the linear function that has a graph that includes all the points in the table would be f(x) = 5x - 7.
Answer:this is confusing
Step-by-step explanation:
Answer:
6:5
Step-by-step explanation:
Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
The algae is spherical in nature
Volume of the algae =4/3 pi r³
Volume of the algae = 4/3×pi×2.5³
Volume of the algae = 62.5/3 pi
Surface area = 4pi r²
Surface area = 4pi ×2.5²
Surface area = 25pi
Taking their ratio
surface area : volume ratio
= 25pi:62.5/3 pi
= 25 × 3/62.5
= 1.2
Hence the required ratio is 12/10 which is 6:5
Answer:
C≈40.21cm
Step-by-step explanation:
Answer:
we have x = -62 or x = 66
Step-by-step explanation:
16=(x-2)^2/3
I would take square root first
4 = (x - 2)^ (1/3)
or -4 = (x - 2)^(1/3)
.....
4^3 = x - 2
64 = x - 2
x = 66
or -4 ^3 = x - 2
-64 = x - 2
x = -62
we have x = -62 or x = 66
