Answer: A
Step-by-step explanation: The reason is when the circle is empty, it means it isn't equal to and is either only less than or greater than, when the circle is full, it means it can be less than or equal to 5.
Answer:
37 and 38.
Step-by-step explanation:
Let the smaller integer be x.
Thus, the larger integer is (x+1) since it is consecutive.
Subtract both sides by 1:
Divide both sides by 2:
To find the other number, simply add 1 to 37 to get 38.
Based on the given parameters, bhe true statements are: the expression has four terms, and the term -40/y is a ratio.
<h3>How to determine the true statements?</h3>
The expression is given as:
6x^3 - 8x^2 - 40/y + 21
The above expression has four terms, and the terms are:
6x^3, - 8x^2,- 40/y and 21
Also, the term -40/y is a ratio
This is so because it is a quotient of two numbers
Hence, the true statements are: the expression has four terms, and the term -40/y is a ratio, based on the given parameters
Read more about polynomials at:
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(1,-1)(2,2)
slope = (2 - (-1) / (2 - 1) = 3/1 = 3
y = mx + b
slope(m) = 3
use either of ur points...(2,2)...x = 2 and y = 2
now we sub and find b, the y int
2 = 3(2) + b
2 = 6 + b
2 - 6 = b
-4 = b
so ur equation is : y = 3x - 4
Step-by-step explanation:
(a) Fₙ₋₁ > 0, so Fₙ₊₁ > Fₙ. Each term is bigger than the one before it, so the function is increasing, meaning the series will diverge to infinity.
(b) Fₙ₊₁ / Fₙ = (Fₙ + Fₙ₋₁) / Fₙ
Divide.
Fₙ₊₁ / Fₙ = 1 + (Fₙ₋₁ / Fₙ)
Rewrite the second fraction using negative exponent.
Fₙ₊₁ / Fₙ = 1 + (Fₙ / Fₙ₋₁)⁻¹
Take the limit of both sides as n approaches infinity.
lim(n→∞) Fₙ₊₁ / Fₙ = 1 + lim(n→∞) (Fₙ / Fₙ₋₁)⁻¹
Substitute with φ.
φ = 1 + φ⁻¹
Solve.
φ² = φ + 1
φ² − φ − 1 = 0
φ = [ -(-1) ± √((-1)² − 4(1)(-1)) ] / 2(1)
φ = (1 ± √5) / 2
Since the ratio can't be negative:
φ = (1 + √5) / 2
