Answer:
Is the question to develop the equation for the straight line shown?
If so,<u> y = (3/4)x + b</u>
Step-by-step explanation:
Look for an equation with the form y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
Calculate Slope using the Rise/Run.
Pick any two points. I chose (-4,0) and (4,6).
Going from left to right:
Rise = (6 - 0) = 6
Run = (4 - (-4)) = 8
Slope is Rise/Run, 6/8 or 3/4
So we have: y = (3/4)x + b
We can see that the y-intercept, b, is 3 (the value of y when x = 0).
The full equation becomes :<u> y = (3/4)x + 3 </u>
1) Answer: 
<u>Step-by-step explanation:</u>
f(x) = 6x⁻¹
f'(x) = -6x⁻²
= 
f'(-2) = 
= 
=
*****************************************************
2) Answer: 
<u>Step-by-step explanation:</u>
f(x) = -9x⁻¹
f'(x) = 9x⁻²
= 
f'(6) = 
= 
=
Answer:
x = ⅓ acos(y/7) + π/18, [-7, 7/2]
Step-by-step explanation:
y = 7 cos(3x − π/6)
Solving for x:
y/7 = cos(3x − π/6)
acos(y/7) = 3x − π/6
acos(y/7) + π/6 = 3x
x = ⅓ acos(y/7) + π/18
The domain of x is the same as the range of y.
When x = π/6:
y = 7 cos(3π/6 − π/6)
y = 7 cos(π/3)
y = 7/2
When x = 7π/18:
y = 7 cos(21π/18 − π/6)
y = 7 cos(π)
y = -7
So the domain of x as a function of y is [-7, 7/2].
Answer:
-24
Step-by-step explanation:
m(4)=2*4^2-10*4-14=-22
m(-1)=2*(-1)^2-10(-1)-14=-2
m(4)+m(-1)=-24
<em>Here, I'll show you simple steps.
As we know, Percentage=(value</em>×<em>100)/total value
</em><em>So, to get reversed the main value from given percentage and total value.
</em>
<em></em>∴Value×100=Percentage×total value
∴Value = (Percentage×total value)/100
