Answer:
x = (4 + 2√34)/10, x = (4 - 2√34)/10
Step-by-step explanation:
5x² - 4x = 6
Subtract: 5x² - 4x - 6 = 0
Quadratic formula: x = (4 ± √(16 - 4*5*(-6)))/10
Multiply: x = (4 ± √(16 + 120))/10
Simplify: x = (4 ± 2√34)/10
Answer:
11.4
Step-by-step explanation:
You have to use the Pythagorean theorem: c = √(a² + b²)
√(7² + 9²) ≈ 11.4
Answer:
a) 5/9 fraction b) the percentage is 55.555556%
Answer:
(iv) b
(v) c
(vi) d
Step-by-step explanation:
The first two questions have to with understanding the meaning of the English words. (It's reading comprehension.)
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(iv) "no larger than 10" means "less than or equal to 10"
(b) x ≤ 10
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(v) "at most 1600" means "less than or equal to 1600"
(c) c ≤ 1600
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(vi) A value of x will be a solution to the inequality if substituting it into the inequality results in a true statement. Here, using x=0 effectively eliminates the x-term from the inequality.
(a) 0 > 0 . . . false
(b) 5 < 0 . . . false
(c) 2 < 0 . . . false
(d) -2 < 0 . . . true
