Answer: 122 ft and 12.77 m
Step-by-step explanation:
First question answer = 100/cos35 = 122.07 = 122 ft
Second question answer = 12/sin70 = 12.77 m
<span>First, g(x) = 2x - 2, because when you double both of the terms of x - 1, you have to multiply each of the terms by two, i.e x * 2 = 2x and (-1) * 2 = - 2, so the result is 2x - 2. Comparing the graphs, you have that g(x) 's slope is 2, whils f(x) 's slope is 1, so that means that g(x) is more inclined or, what is the same, grows faster than f(x). Also, you can compare the y-intercepts, given that the y-intercept is the constant terms. So, the y-intercept of g(x) is -2, while the y-intercept of f(x) is - 1. </span>
Answer:
P ( x ) = -0.7 (x - 2)²(x + 3)
Step-by-step explanation:
<u>We are given</u> :
P ( x ) , has a root of multiplicity 2 at x = 2
and a root of multiplicity 1 at x = − 3
Then
P ( x ) = a (x - 2)²(x + 3) ; where ‘a’ is a real number.
P ( x ) = a (x - 2)²(x + 3)
= a (x² - 4x + 4)(x + 3)
= a [x³ - 4x² + 4x + 3x² - 12x + 12]
P (0) = -8.4
⇔ a [(0)³ - 4(0)² + 4(0) + 3(0)² - 12(0) + 12] = -8.4
⇔ 12 a = -8.4
⇔ a = (-8,4) ÷ 12
⇔ a = -0,7
<u>Conclusion</u> :
P ( x ) = -0.7 (x - 2)²(x + 3)
We know that
the slope formula is
m=(y2-y1)/(x2-x1)
(x1,y1)=(0,2)
(x2,y2)=(x,0)
m=1-----> equation 1
m=(0-2)/(x-0)------> m=-2/x -----> equation 2
equate equation 1 and equation 2
1=-2/x------> multiply by x both sides------> x=-2
the point (x2,y2) is ----------> (-2,0)
(24, 12) and (36, 0). The least amount of flowering plants occurs when x=2y, and the largest amount occurs when y=0. These two points satisfy both conditions and both sum to 36.
