Answer:y = -5x + 11
Step-by-step explanation:
First, find the slope (m) of the line that passes through these points:
m = (1-6) / (2-1) = -5/1 = -5
Then use the point slope formula to find the equation of the line:
m = (y-y0)/(x-x0)
-5 = (y-1)/(x-2)
-5(x-2) = y-1
y - 1 = -5x+10
y = -5x + 11
Answer:
Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.
Answer:
the answer is d the person above is wrong.
Step-by-step explanation of the wrong answers: b is wrong because it will be 3,3,3,3,3,3,3,4,4,4,5,5,5,6,6. A is wrong because 3 isn't in the middle. C is wrong because then 6-2 is 4. There's your explanation.
(a) converges; consider the function <em>f(x)</em> = <em>a</em> ˣ, which converges to 0 as <em>x</em> gets large for |<em>a</em> | < 1. Then the limit is 2.
(b) converges; we have
4ⁿ / (1 + 9ⁿ) = (4ⁿ/9ⁿ) / (1/9ⁿ + 9ⁿ/9ⁿ) = (4/9)ⁿ × 1/(1/9ⁿ + 1)
As <em>n</em> gets large, the exponential terms vanish; both (4/9)ⁿ → 0 and 1/9ⁿ → 0, so the limit is 1.
(c) converges; we know ln(<em>n</em> ) → ∞ and arctan(<em>n</em> ) → <em>π</em>/2 as <em>n</em> → ∞. So the limit is <em>π</em>/2.
