Six times fifty equals three hundred
The slope intercept form is given as y = 2x + 6
The general expression for slope intercept form is given as:
y = mx + c
where, m = slope
c = intercept
The formula for slope intercept form when we have been given the coordinates of a point and slope is given as :
(1)
where (
= the coordinates of a point
m = slope of the line
putting the required values in equation (1) we get
(y - 4) = 2(x- (-1))
(y - 4) = 2(x+1) [As (-)*(-) = +]
y - 4 = 2x + 2
y = 2x + 2 + 4
y = 2x + 6
Thus the slope intercept form is y = 2x + 6
Learn more about slope intercept form here : brainly.com/question/19440459
#SPJ9
The distance between the ships changing at 92.29 Knots
- Using the position of ship A as the reference point, at time t measured in hours past noon, ship A is 18 t miles west of this point and ship B is 40 + 17t north of this point.
- The distance between ships is then
![d(t) = \sqrt{(18t)^{2} + (40+17t)^{2} } \\](https://tex.z-dn.net/?f=d%28t%29%20%3D%20%5Csqrt%7B%2818t%29%5E%7B2%7D%20%2B%20%2840%2B17t%29%5E%7B2%7D%20%7D%20%5C%5C)
The rate of change of distance is -
![\frac{dd}{dt} = \frac{36t + 2(40 + 17t)17}{2\sqrt{18t^{2} + (40 + 17t) } }](https://tex.z-dn.net/?f=%5Cfrac%7Bdd%7D%7Bdt%7D%20%3D%20%5Cfrac%7B36t%20%2B%202%2840%20%2B%2017t%2917%7D%7B2%5Csqrt%7B18t%5E%7B2%7D%20%2B%20%2840%20%2B%2017t%29%20%7D%20%7D)
after putting t = 5 into this rate of change ,
we get, answer = 92.29
To learn more about differentiation from the given link
brainly.com/question/25081524
#SPJ4
Answer:
f'(x) = 18x² - 18x + 12
Step-by-step explanation:
Differentiate using the power rule
(a
) = na![x^{n-1}](https://tex.z-dn.net/?f=x%5E%7Bn-1%7D)
Given
f(x) = (3x² + 6)(2x - 3) ← expand factors using FOIL
= 6x³ - 9x² + 12x - 18 , then
f'(x) = 3.6x² - 2.9x + 12
= 18x² - 18x + 12
Answer:
Step-by-step explanation:
15:35 should be 3/7