Answer:

Step-by-step explanation:
Given the expression

Remove the parentheses

Group like terms

simplifying

Therefore, the equivalent expression with 3 terms for the expression is:

Answer:
its 56 units square.
Step-by-step explanation:
(count the tiles in the shaded figure, you'll get the area)
Answer:
20π or 62.8 roughly
Step-by-step explanation:
Hello!
<u>The formula for finding the circumference of a circle is 2rπ:</u>
In that case, all we have to do is substitute 10m for our r.
2 × 10 = 20.
So circumference will be 20π.
Using 3.14 for π:
We get that 62.8 is a rough estimate for the circumference.
Really, it's 62.831..... going on forever since π is irrational.
Thus, the answer exactly is
.
Hope this helps!
Answer:
a) Domain: all real values of x
Range: all real values of y
b) Relative maxima: (0,3)
Relative minima: (2,-1)
c) yes, (1,1)
d) x < 0, x > 2
Step-by-step explanation:
a) Domain: all real values of x
Range: all real values of y
b) dy/dx = 3x² - 6x = 0
3x(x - 2) = 0
x = 0, y = 0³ - 3(0)² + 3 = 3
x = 2, y = 2³ - 3(2)² + 3 = -1
d²y/dx² = 6x - 6
x = 0, d²y/dx² = -6 < 0 (max)
x = 2, d²y/dx² = 6 > 0 (min)
c) d²y/dx² = 0 at points of infection
6x - 6 = 0
x = 1
y = 1³ - 3(1)² + 3 = 1
dy/dx at x = 0.9: 3(0.9)² - 6-(0.9)
= -0.298
dy/dx at x = 1.1: 3(1.1²) - 6(1.1)
= -0.297
Decreasing on both sides, therefore (1,1) is a point of inflection
d) increasing when dy/dx > 0
3x² - 6x > 0
Roots: x = 0, 2
x < 0, x > 2
Answer:
<em>thanks but no thanks cause i.d.k you -o-</em>
Step-by-step explanation: