Answer:
Population in 1950 was 4,100,000
Step-by-step explanation:
Equation: 5x + 2,000,000 = 22,500,000
Subtract 2,000,000 from each side: 5x = 20,500,000
Divide each side by 5: x = 4,100,000
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C
The expression given is a difference of cubes and factors as
a³ - b³ = (a - b)(a² + ab + b²)
8 = (2)³ ⇒ a = 2
27 = (3y²)³ ⇒ b = 3y²
Hence 2 factors are
(2 - 3y²) and
((2)² + (2 × 3y²) + (3y²)²)
= (4 + 6y² + 9)
Hence the factored form of the expression is C
x² + 2x - 5
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= 2x + 3 + x² - 8 ← collect like terms
= x² + 2x - 5
The z-score for 36,000 is (36,000 - 40,000) / (15,000 / √25) = -1.333
The z-score for 42,000 is (42,000 - 40,000) / (15,000 / √25) = 0.6667
P(36,000 < x < 42,000) = P(-1.3333 < z < 0.6667)
P(z < 0.6667) - P(z < -1.3333)
0.7475 - 0.0913
0.6562
True
Evaluate 18 x - 2 (3 x + 1) = 5 x - 16 where x = -2:
-2×18 - 2 (1 - 2×3) = -2×5 - 16
3 (-2) = -6:
-2×18 - 2 (-6 + 1) = -2×5 - 16
1 - 6 = -5:
-2×18 - 2-5 = -2×5 - 16
18 (-2) = -36:
-36 - 2 (-5) = -2×5 - 16
-2 (-5) = 10:
10 - 36 = -2×5 - 16
5 (-2) = -10:
10 - 36 = -10 - 16
10 - 36 = -26:
-26 = -10 - 16
-10 - 16 = -26:
-26 = -26
-26 is equal to -26:
Answer: True