Answer:
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Associative property of addition: Changing grouping of addends doesn't change the sum.
Distributive property: Multiplying a sum by a number is the same as multiplying each addend by that number and then adding the two products.
Associative property of multiplication: Changing grouping of the factors doesn't change the products.
Commutative property of multiplication: Changing order of the factors doesn't change the products.
Commutative property of addition: Changing order of addends doesn't change the sum.
Answer:
1126.4
Step-by-step explanation:
5.97 x 1024 =6113.28
4.87 x 1024= 4986.88
6113.28-4986.88 =1126.4
Answer:
x²(x - 1)²
Step-by-step explanation
Given the expression x^4 - 2x^3 + x^2
Factoring out the common terms;
x^2 (x^2-2x + 1)
Factorize the expression in bracket
= x^2 (x^2-2x + 1)
= x^2 (x^2-x-x + 1)
= x^2 (x(x-1)-1(x-1))
= x^2 (x-1)(x-1)
<em>= x^2(x-1)^2</em>
<em>Hence the factored form of the expression is x²(x - 1)²</em>
Answer:
5
Step-by-step explanation:
To solve with calculus, distance is the integral of speed:
d = ∫ |v| dt
d = ∫₀⁴ |t − 3| dt
d = -∫₀³ (t − 3) dt + ∫₃⁴ (t − 3) dt
d = ∫₀³ (3 − t) dt + ∫₃⁴ (t − 3) dt
d = (3t − ½ t²) |₀³ + (½ t² − 3t) |₃⁴
d = [ (9 − 9/2 ) − (0 − 0) ] + [ (8 − 12) − (9/2 − 9) ]
d = 9/2 + 1/2
d = 5
You can also find this geometrically. Graph y = |x − 3|, then find the area under the curve. You will find it's the area of two triangles.
d = ½ (3)(3) + ½ (1)(1)
d = 5
It's important to note that distance is not the same thing as displacement. Displacement is the difference between where you start and where you stop. Distance is length of the path you take.
f(x) = x³ - 2x² - 24x
x³ - 2x² - 24x = 0
x(x² - 2x - 24) = 0
x = 0
x² - 2x - 24 = 0
a = 1, b = -2, c = -24
Delta = (-2)² - 4 * 1 * (-24) = 4 + 96 = 100
x = (-(-2) - 10)/(2 * 1) = -8/2 = -4
x = (-(-2) + 10)/(2 * 1) = 12/2 = 6
Answer: 2)