What form does it need to be in? Percent ? (%)
F(x)=3x/2 for 0≤x≤2
<span>.....=6 - 3x/2 for 2<x≤4 </span>
<span>g(x) = -x/4 + 1 for 0≤x≤4 and g'(x)=-1/4 </span>
<span>so h(x)= f(g(x)) = (3/2)(-¼x+1)=-3x/8 + 3/2 for 0≤x≤2 </span>
<span>for x=1, h'(x)=-3/8 so h'(1)=-3/8 </span>
<span>When x=2, g(2)=1/2 so h'(2)=g'(2)f '(1/2)= -(1/4)(3/2)=-3/8 </span>
<span>When x=3, h(x)=6 - (3/2)(1 - x/4) = 9/2 +3x/8 </span>
<span>h'(x)=3/8 so h'(3) = 3/8</span>
Answer:
Line A is x = -3
Line B is y = 2.5
Step-by-step explanation:
Answer:
The height of the house at which the ladder reach is 9.15 foot
Step-by-step explanation:
Given as :
The length of the ladder = l = 10 foot
Let The height of the house = h foot
The measure of bottom of ladder from bottom of house = 4 foot
Now from figure
<u>The figure is of right angled triangle</u>
So,
Hypotenuse² = perpendicular² + base²
Or, OB² = AB² + OA²
Or, AB² = OB² - OA²
Or, h² = (10)² - (4)²
Or, h² = 100 - 16
Or, h² = 84
∴ h =
I.e h = 9.15 foot
So,The height of the house = h = 9.15 foot
Hence, The height of the house at which the ladder reach is 9.15 foot Answer
Answer:
Step-by-step explanation:
<u>Given the sequence </u>
<u>We see it is an AP with</u>
- The first term a = 13
- Common difference d = 13 ( as 26 - 13 = 39 - 26 = 13)
<u>The 12th term is:</u>
- a₁₂ = a + 11d = 13 + 11*13 = 156