g(x) is a piecewise function in such a way that it changes how it's defined based on what x happens to be. There are three cases
Case A: g(x) = x-1 but only if 
(x is between -2 and -1; including -2 but excluding -1)
Case B: g(x) = 2x+3 but only when 
(x is between -1 and 3; including -1 but excluding 3)
Case C: g(x) = 6-x but only when 
The input is x = 3 since we want to find the value of g(3). So we look at the 3 cases above (A,B,C) and determine that we use case C. Why? Because x = 3 makes true. Put another way, x = 3 is in the interval [3, infinty). So we'll use g(x) = 6-x to find that...
g(x) = 6-x
g(3) = 6-3
g(3) = 3
Answer: 3
Answer:
Step-by-step explanation:
You would do 5 divided by 4
the question is tells us that the sandwiches are being shared equally so it is the total amount. it is being distributed to 4 friends meaning it is being divided by 4.
5 divided by 4 = 1.25
they all got 1.25 of the sandwiches
Let, S = Shirt, J = Jeans
14a)
This question asks for the discount to be added after everything else.
S= 12 J=19
3S + 2J -3 = Cost with discount applied to total
^ This expression adds to costs, then takes away the $3 discount as the end.
14b)
This questions says the discount is added on every shirt, we get a similar expression:
3(S-3) + 2(J-3) = Cost with discount applied on every shirt and jeans
14c)
The difference between a) and b) is that:
> the discount in a) is applied on the total, meaning a lower discount
> the discount for b) is applied on each shirt and jeans, meaning a greater discount
14d)
If I were the shop owner I would be more specific of what the discount included, for example we don't know whether to discount each product (shirts and jeans) or only discount the total.
Answer:
Volume of Sphere is 33.51 ft^3
Volume of Cylinder is 37.7 m^2
Step-by-step explanation:
<u>Volume of a sphere formula: V = 4
/3πr^3</u>
<u>Volume of a cylinder formula: V = πr^2h</u>
<u />
<u>Step 1: Find the volume of the sphere</u>
Since it shows the diameter, you need to divide 4 by 2 to get the radius: 2
V = 4/3*π*(2)^3
<em>V = 33.51 ft^3</em>
<em />
Answer: Volume of Sphere is 33.51 ft^3
<u>Step 2: Find the volume of the cylinder</u>
Since it shows the diameter, you need to divide 4 by 2 to get the radius: 2
V = π*(2)^2*(3)
<em>V = 37.7 m^2</em>
<em />
Answer: Volume of Cylinder is 37.7 m^2
