9/21 because it can still be reduced to 3/7
Answer:
<em>D. 5 for x less than or equal to 4, equals 2x for x between 4 and 6 including 6, and equals 4 for x greater than 6 Domain: All real number</em>s.
Step-by-step explanation:
Find the complete diagram attached
First we need to get the derivative of the functions
For the function f(x) = 5x - 6
Using the formula
If f(x) = axⁿ
f'(x) = naxⁿ⁻¹
For the function f(x) = 5x - 6
f'(x) = 1(5)x¹⁻¹
f'(x) = 5x⁰
f'(x) = 5
For the function f(x) =x²-2
f'(x) = 2x²⁻¹
f'(x) = 2x
For the function f(x) = 4x+10
f'(x) = 1(4)x¹⁻¹
f'(x) = 4x⁰
f'(x) = 4
Get the domain
The domain is the value of the input variable x for which the functions exists. For the functions given, the domain will be on all real numbers i.e the functions will exists for any value of x on the number line.
Hence Option D is correct
Answer:
y-1 = 5/3(x-3)
Choice C
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
(3,1) (6,6)
m = (6-1)/(6-3)
m = (5/3)
the point slope form of a line is given by
y-y1 = m(x-x1)
You have point (3,1)
y-1 = 5/3(x-3)
Choice C
Step-by-step explanation:
angle XUV+angle XVY+angle YVZ+angle ZVW=180°
43+angle XVY+52°+36°=180°
angle XVY=180-131
angle XVY=49°
The slope of this graph is - 4
Step-by-step explanation:
The slope of a line is
, where
and
are two points on the line- The slope of a horizontal line is zero
- The slope of a vertical line is undefined
∵ The graph is a line
∵ The line passes through points (1 , -2) and (0 , 2)
∴
= 1 and
= 0
∴
= -2 and
= 2
- Substitute these values in the rule below
∵ 
∴ 
∴ m = - 4
The slope of this graph is - 4
Learn more:
You can learn more about the slope of a line in brainly.com/question/4152194
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