Answer:
The total number of cups of coffee is 12x - 3 ⇒ last answer
Step-by-step explanation:
- Madden and Jenn both worked at the coffee shop today
- Madden's total cups of coffee made is represented by f(x) = 7x - 4
- Jenn's total cups of coffee made is represented by g(x) = 5x + 1
- We want to write a function represents the total cups of coffee they
made together
∵ f(x) represents the number of cups of coffee that Madden made
∵ f(x) = 7x - 4
∵ g(x) represents the number of cups of coffee that Jenn made
∵ g(x) = 5x + 1
- To find the total cups they made together we will add the two
functions f(x) and g(x)
∵ f(x) + g(x) = (7x - 4) + (5x + 1)
- Add like terms
∴ f(x) + g(x) = (7x + 5x) + (-4 + 1)
∴ f(x) + g(x) = 12x + (-3)
-Remember (+)(-) = (-)
∴ f(x) + g(x) = 12x - 3
* <em>The total number of cups of coffee is 12x - 3</em>
The surface area of the triangular prism is 144 cm²
<u>Explanation:</u>
Given:
Base of the triangle = 4
Height of the triangle = 3
Hypotenuse of the triangle = 5
Length of the prism = 11
Surface area of the rectangular prism = ?
Surface area, A =
On substituting the value, we get:
Therefore, the surface area of the triangular prism is 144 cm²
Answer:
16a - 6b + 6
Step-by-step explanation:
5a + 5b - 5 + 11a - 11b + 11 = 5a + 11a + 5b - 11b - 5 + 11 = 16a - 6b + 6