-12ab+7a power of 2 +a 11
The fabric costs $8.95 per yard
Answer:
see explanation
Step-by-step explanation:
Inequalities of the type | x | ≤ a always have solutions of the form
- a ≤ x ≤ a
Given
| x - 1 | ≤ 1 then
- 1 ≤ x - 1 ≤ 1 ( add 1 to each of the 3 intervals )
0 ≤ x ≤ 2
Since we require an integer solution then x = 0, 1, 2
Answer:
y = 4/3x - 12
Step-by-step explanation:
To find the slope of the line, we do (y2 - y1) / (x2 - x1)
If we put in the values, we'll get
(-4 - -8) / (6 - 3)
Simplify and get
(-4 + 8) / 3
4 / 3
Your slope is now 4/3, so you can put it into your equation y = mx + b
y = 4/3x + b
To find b, we can plug in the values from one of your points. Lets use (3, -8)
-8 = 4/3 * 3 + b
Now solve the equation
-8 = 4 + b
-12 = b
Now that you have b, your equation is complete:
y = 4/3x - 12
d/dx cos^2(5x^3)
= d/dx [cos(5x^3)]^2
= 2[cos(5x^3)]
= - 2[cos(5x^3)] * sin(5x^3)
= - 2[cos(5x^3)] * sin(5x^3) * 15x^2
= - 30[cos(5x^3)] * sin(5x^3) * x^2
Explanation:
d/dx x^n = nx^(n - 1)
d/dx cos x = - sin x
Chain rule:
d/dx f(g(...w(x))) = f’(g(...w(x))) * g’(...w(x)) * ... * w’(x)
