Division which will give you 0.15!
Answer:
Step-by-step explanation:
systems of linear equations can only have 0, 1, or an infinite number of solutions. These two lines cannot intersect twice. The correct answer is that the system has one solution.
Answer:
3
Step-by-step explanation:
Answer:
3x + 2 ≤ 53
Step-by-step explanation:
"2 more than" means that there will be a + 2 in the equation. "3 times a number" means that 3 is multiplied by an unknown number which can be represented by a variable such as x. "At most" means less than or equal to, since the number cannot be greater than.
So generally, you might want to write the equation as 2 + 3x ≤ 53, but 2 + 3x is not in y = mx + b form. Basically, you need to write it as 3x + 2 ≤ 53 because that's how math works.
Answer:
see explanation
Step-by-step explanation:
(43)
3 - 75x³ ← factor out 3x³ from each term
= 3x³(x² - 25) ← this is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , thus
x² - 25 = x² - 5² = (x - 5)(x + 5)
Thus
3 - 75x³ = 3x³(x - 5)(x + 5)
(44)
81c² + 72c + 16 ← is a perfect square of the form
(ac + b)² = a²c² + 2abc + b²
Compare coefficients of like terms
a² = 81 ⇒ a = = 9
b² = 16 ⇒ b = = 4
and 2ab = 2 × 9 × 4 = 72
Thus
81c² + 72c + 16 = (9c + 4)²