Step-by-step explanation:
c^2( c^2-10c+25)
=c^4 - 10c^3 + 25c^2
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
A tenth is 1/10.
5 tenths is 5/10.
5/10 is a fraction that can be made simpler, by dividing by 5, so that the fraction becomes 1/2.
1/2 is a half, so if you have a half a dollar, you have 50 cents.
Hope I helped. :)
Answer:
Step-by-step explanation:
Given the function :
y=x³ - 3x² - 9x + 2. The largest and smallest values of the function at interval [-2, 4]
We substitute x values in the interval (-2 to 4) into the equation and solve for y
At x = - 2
y = (-2)³ - 3(-2)² - 9(-2) + 2 = 0
At x = - 1
y = (-1)³ - 3(-1)² - 9(-1) + 2 = 7
At x = 0
y = (-0)³ - 3(-0)² - 9(-0) + 2 = 2
At x = 1
y = (1)³ - 3(1)² - 9(1) + 2 = - 9
At x = 2
y = (2)³ - 3(2)² - 9(2) + 2 = - 20
At x = 3
y = (3)³ - 3(3)² - 9(3) + 2 = - 25
At x = 4
y = (4)³ - 3(4)² - 9(4) + 2 = - 18
Function is greatest at
