To solve this, you will have to set up your equation as fractions:
X is to 4 as 4 is to 4+3, or 7
X/4 = 4/7
You will then cross multiply
7x = 4•4
7x = 16
Divide.
X = 2.285714...
Round to the nearest hundredth.
2.29
Step-by-step explanation:
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1) given function
y = - 2 ^ ( -x + 2) + 1
2) domain: domain is the set of the x-values for which the function is defined.
The exponential function is defined for all the real numbers, so the domain of the given function is all the real numbers.
3) x-intercept => y = 0
=> y = - 2 ^ ( -x + 2) + 1 = 0 => 2^ ( -x + 2) = 1
=> - x + 2 = 0 => x = 2
The x-intercept is x = 0
4) y-intercept => x = 0
=> y = - 2 ^ ( -x + 2) + 1= - 2 ^ ( 0 + 2) 1 = - (2)^(2) + 1 =- 4 + 1 = - 3
=> The y-intercept is - 3
5) limit when x -> negative infinite
Lim f(x) when x -> ∞ = - ∞
6) limit when x -> infinite
Lim f(x) when x - > infinite = 1
=> asymptote = y = 1
7) range is the set of values of the fucntion: y
Given that the function is strictly decreasing from -∞ to ∞, the range is from - ∞ to less than 1
Range (-∞,1)
A B E
They all equal x = 3 once solved.
C = 6 and D = 9 so those are not correct.
1 3/4 + 3 3/8
get a common denominator by multiplying 1 3/4 by 2 to get a denominator of 8
1 3/4 becomes 1 6/8
1 6/8 + 3 3/8 = 5 1/8 yards
so the answer is
C. 5 1 / 8 Yards
