Answer is 86.47 cm hope helped
Answer:
g(-4) = -1
g(-1) = -1
g(1) = 3
Explanation:
If you are given a function that is defined by a system of equations associated with certain intervals of x, just find which interval makes x true, and then substitute x into the equation of that interval.
For example, given g(-4), this is an expression which is asking for the value of the equation when x = -4. So -4 is not ≥ 2, so ¼x - 1 will not be used. -4 is also not ≤ -1 and ≤ 2, so -(x - 1)² + 3 will not be used either. So in turn, we will just use -1 which is always -1 so g(-4) will just be -1, right because there is no x variable in -1 so it will always be the same.
Using the same idea as before g(-1) is g(x) when x = -1 so -1 will not be a solution because -1 is not less than -1 (< -1). -1 is not ≥ 2 either so we will be using the second equation because -1 is part of the interval -1≤x≤2 (it is a solution to this inequality), therefore -(x - 1)² + 3 will be used.
As x = -1, -(x - 1)² + 3 = -(-1 - 1)² + 3 = -(-2)² + 3 = -4 + 3 = -1.
It is a coincidence that g(-1) = -1.
Now for g(1), where g(x) has an input of 1 or the value of the function where x = 1, we will not use the first equation because x = 1 → x < -1 → 1 < -1 [this is false because 1 is never less than -1], so we will not use -1.
We will use -(x - 1)² + 3 again because 1 is not ≥ 2, 1≥2 [this is also false]. And -1 ≤ 1 < 2 [This is a true statement]. Therefore g(1) = -(1 - 1)² + 3 = -(0)² + 3 = 3
To find the answer, you find out the height of the plants for each week until they're the same.
Equation: Growth × Week + Original Height
For Kia: 2/3w + 8 1/5
For Lyric: 1/6w + 10 7/10
Kia:
Week 0 = 8 1/5 in.
Week 1 = 8 13/15 in.
Week 2 = 9 8/15 in.
Week 3 = 10 1/5 in.
Week 4 = 10 13/15 in.
Week 5 = 11 8/15 in.
Lyric:
Week 0 = 10 7/10 in.
Week 1 = 10 13/15 in.
Week 2 = 11 1/30 in.
Week 3 = 11 1/5 in.
Week 4 = 11 11/30 in.
Week 5 = 11 8/15 in.
Solution: 5 Weeks
Answer:
The equation which expresses the ratio of the circumference to the diameter of a circle is 
⇒ D
Step-by-step explanation:
π is the ratio between the circumference of the circle and the length of its diameter
, where
- C is the circumference of the circle
- d is the diameter of the circle
∵ The circumference of the circle is C
∵ The radius of the circle is 15 units
∴ r = 15 units
- Find the diameter of the circle
∵ The diameter of the circle d = 2 r
∴ d = 2(15) = 30 units
∴ The diameter of the circle is 30 units
∵
∵ d = 30 units
∴
The equation which expresses the ratio of the circumference to the diameter of a circle is
<span>10x+4=7(6x-14)
10x+4=42x-98
-4 -4
10x=42x-102
-42x -42x
-32x=-102
/-32 /-32
x=</span>3.1875
I'm almost positive that this is correct if I multiplied wrong please do it right but this is a more general idea of how to solve it.
