Hello
f(x) = 2sin(x)
f(<span>π/6) = 1
f'(x) 2cos(x)
f'(</span>π/6) = 2×co(π/6) = 2 × root(3)×0.5 =root(3)
The equation of this tangent line is : y= root(3)(x-π/6)+1
y = root(3)x+1 - π/6(root(x)) <span>in the form y=mx+b
m = root(3) and b = </span>1 - π/6(root(x))
How much are they selling the shirts for ? how much debt do they have ?
x = –6
Solution:
Given expression is ![\sqrt[3]{x-2}+5=3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx-2%7D%2B5%3D3)
.
Step 1: Isolate the radical by subtracting 5 from both sides of the equation.
![\Rightarrow\sqrt[3]{x-2}+5-5=3-5](https://tex.z-dn.net/?f=%5CRightarrow%5Csqrt%5B3%5D%7Bx-2%7D%2B5-5%3D3-5)
![\Rightarrow\sqrt[3]{x-2}=-2](https://tex.z-dn.net/?f=%5CRightarrow%5Csqrt%5B3%5D%7Bx-2%7D%3D-2)
Step 2: Cube both sides of the equation to remove the cube root.
![\Rightarrow(\sqrt[3]{x-2})^3=(-2)^3](https://tex.z-dn.net/?f=%5CRightarrow%28%5Csqrt%5B3%5D%7Bx-2%7D%29%5E3%3D%28-2%29%5E3)
Cube and cube root get canceled in left side of the equation.
Step 3: To solve for x.
Add 2 on both sides of the equation.
Hence the solution is x = –6.
The answer would be $50 per blender.
To explain the way I did it --
Toaster ovens - 70 * 5 = 350
70 - 20 = 50
Blenders - 50 * 3 = 150
350 + 150 = 500
Using proportions, it is found that the correct statement is:
D. The number of visitors who prefer camping will be 2 times the number of visitors who prefer water sports.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount.
In this problem, the table is from a sample of 80 visitors.
Since the <u>proportions stay the same</u>, just the number of visitors change, the correct statement is given by:
D. The number of visitors who prefer camping will be 2 times the number of visitors who prefer water sports.
As from the 80 students, 28 prefer camping and 14 prefer water sports, hence from 200, these numbers will be of 70 and 35 respectively.
More can be learned about proportions at brainly.com/question/24372153
