Answer: the y-coordinate that completes the point is 5.
Explanation:
An ordered pair (x, y) indicates the x-and-y coordinates of a general point, where x is the input value of a function and y is the output value.
The output value is y = f(x) and must be found applying the rule (function) to the given input value.
In this case the rulte is f(x) = - 3x + 2, and the input value, x, is - 1 (the first value of the ordered pair).
This is the mathematical procedure:
- x = - 1
- f(x) = f (-1) = -3 (-1) + 2 = 3 + 2 = 5.
Answer:
Both G and H are true
Step-by-step explanation:
Answer:
18x^5y
Step-by-step explanation:
Divide 36 by 2 first : 18
since you are dividing, you subtract the exponents:
x^8 - x^3= x^5
y^4-y^3= y^1 but you usually just write y
Answer:
P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Step-by-step explanation:
Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3
Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:
2(k+1) - 1 = 2k + 2 - 1
≤ 2 + k! (by the inductive hypothesis)
= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.
Answer:
A. 29 feet
Step-by-step explanation:
Use cos to find the hypotenuse
cos = adj/hp
0.64 = 20/hyp
hyp = 20/0.64
hyp = 31.25
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Use Pythagorean Theorem to find the height of tree above eyes
a² + b² = c²
a² + 20² = 31.25²
a² = 31.25² - 20²
a² = 576.5625
a = 24 (to the nearest foot)
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Finally add in the eye height
h = 24 + 5
h = 29 feet
