X < 7 by way of the subtraction property of equality; you simply subtract 5 from each side to balance the inequality
Answer:
A) x = 3 or -1
B) x = -7
C)x = -7
Step-by-step explanation:
A) x² + 2x + 1 = 2x² - 2
Rearranging, we have;
2x² - x² - 2x - 2 - 1 = 0
x² - 2x - 3 = 0
Using quadratic formula, we have;
x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)
x = (2 ± √16)/2
x = (2 + 4)/2 or (2 - 4)/2
x = 6/2 or -2/2
x = 3 or -1
B) ((x + 2)/3) - 2/15 = (x - 2)/5
Multiply through by 15 to get;
5(x + 2) - 2 = 3(x - 2)
5x + 10 - 2 = 3x - 6
5x - 3x = -6 - 10 + 2
2x = -14
x = -14/2
x = -7
C) log(2x + 3) = 2log x
From log derivations, 2 log x is same as log x²
Thus;
log(2x + 3) = logx²
Log will cancel out to give;
2x + 3 = x²
x² - 2x - 3 = 0
Using quadratic formula, we have;
x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)
x = (2 ± √16)/2
x = (2 + 4)/2 or (2 - 4)/2
x = 6/2 or -2/2
x = 3 or -1
Answer:
D (t) = 30 * t
Step-by-step explanation:
If we look closely, it would become a right triangle according to the statement, therefore:
a ^ 2 + b ^ 2 = c ^ 2
Because they give us the speed in each case, the distance would be that speed by time therefore, we know that:
a = 18 * t
b = 24 * t
c = d
replacing we have:
D ^ 2 = (18 * t) ^ 2 + (24 * t) ^ 2
D ^ 2 = 324 * t ^ 2 + 576 * t ^ 2
D ^ 2 = 900 * t ^ 2
D = (900 * t ^ 2) ^ (1/2)
D = 30 * t
Therefore the function of D is 30 * t
Answer:
Correct, is correct, correct, 4,350
Step-by-step explanation:
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