Answer: 4
Step-by-step explanation: 2 + 2 = 4
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
Answer:
13/28 (13 over 28)
Step-by-step explanation:
26/28 - 13/28 = 13/28 and since 13 is a prime number it can't be simplified
Answer:
<h2>F. 12</h2>
Step-by-step explanation:
The distance between A and M i.e JM = M - J = 5-(-19)
JM = 5+19
JM = 24
If JK:KL:KM = 2:1:3
The total ratio = 2+1+3
Total ratio = 6
Dividing each length based on ratio
length JK = 2/6 * JM
JK = 1/3 * 24
JK = 8
length KL = 1/6 * JM
KL = 1/6 * 24
KL = 4
length KM = 3/6 * JM
KM = 1/2 * 24
KM = 12
<em>Hence the value of KM is 12</em>
Answer:
1N
Step-by-step explanation:
Assuming acceleration of gravity=10m/s²
Force=100/1000kg×10m/s²=1N