Answer:
y = 43x − 25
Step-by-step explanation:
Evaluate the function at x=1:
f(x) = 12x³ + 3x² + x + 2
f(1) = 12 + 3 + 1 + 2
f(1) = 18
Find the slope of the tangent line at x=1:
f'(x) = 36x² + 6x + 1
f'(1) = 36 + 6 + 1
f'(1) = 43
Point-slope form:
y − y₀ = m (x − x₀)
y − 18 = 43 (x − 1)
Convert to slope-intercept form:
y − 18 = 43x − 43
y = 43x − 25
Graph:
desmos.com/calculator/giumpkkphr
Answer:
- 9
Step-by-step explanation:
Step 1:
46 = - 6x - 8
Step 2:
46 + 8 = - 6x
Step 3:
54 = - 6x
Step 4:
6x = - 54
Answer:
x = - 9
Hope This Helps :)
Answer:
0.8745.
Step-by-step explanation:
P(success) = 0.09 and P(failure) = 1 - 0.09 = 0.91.
P( at least 6 failures) = P( less than 2 successes)
= 7C0 (0.09)^0 (0.91)^7 + 7C1 (0.09)(0.91)^6
= 0.5168 + 0.3577
= 0.8745.
Answer:
No, because James has confused the hours of watching tv with the hours of reading.
Step-by-step explanation:
This is incorrect. According to the graph, what we have is a point on the line at (6, 10), which implies that a student who reads for 6 hours will watch tv for 10 hours.
It is very likely that James is confusing the hours of watching tv with the hours of reading.
