Answer:
- g(x) = x^2 – 4x – 21
- g(x) = 3x^2 – 12x – 63
- g(x) = –(x + 3)(x – 7)
Step-by-step explanation:
When r is an x-intercept of the function, (x -r) is a factor. The two given x-intercepts mean that two factors of the function are (x -(-3))(x -7). There may be a vertical scale factor that is not necessarily positive.
These factors multiply out to give ...
(x +3)(x -7) = x^2 -4x -21 . . . . . . matches the first choice
When this expression is multiplied by 3, it matches the third choice:
3(x +3)(x -7) = 3x^2 -12x -63
When the factored form is multiplied by -1, it matches the fourth choice:
-(x +3)(x -7)
Answer:
(a) $54
(b) $60
(c) $30
(d) $6.3
Step-by-step explanation:
Suppose a month has 30 days. Then the expected expense for the whole month is 30 times the expected expense at each day
(a) E[F] = 30*30%*$6 = 30*0.3*6 = $54
(b) E[T] = 30*50%*$4 = 30*0.5*4 = $60
(c) E[C] = 30*4%*$25 = 30*0.04*25 = $30
(d) Suppose all events are independent, the probability that she would spend on all 3 items on the same day is
P[F+T+C] = 0.3*0.5*0.04 = 0.006
So the expected expense she would make on all 3 items is
E[F+T+C] = 30*0.006*(6+4+25) = $6.3
Answer:A Square Pyramid is a pyramid with a square base. Square Pyramid Formula : Area of Base (A) = s² Surface Area of Pyramid = s² + 2sl = A + 2sl Volume of Pyramid = (1/3)b²h
Step-by-step explanation:
Step-by-step explanation:
A Maclaurin series is a Taylor series that's centered at 0.
f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) / n! xⁿ
If we substitute f⁽ⁿ⁾(0) = (n + 1)!:
f(x) = ∑ₙ₌₀°° (n + 1)! / n! xⁿ
f(x) = ∑ₙ₌₀°° (n + 1) xⁿ
Use ratio test to find the radius of convergence.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(n + 2) xⁿ⁺¹] / [(n + 1) xⁿ]│< 1
lim(n→∞)│(n + 2) x / (n + 1)│< 1
│x│< 1
R = 1
Answer:
X=18
Step-by-step explanation:
Here you have to use cross multiplication