Answer:
Domain: (-∞, ∞)
General Formulas and Concepts:
<u>Algebra I</u>
- Domain is the set of x-values that can be inputted into function f(x)
Step-by-step explanation:
According the the graph, we see that our x-values are spanning forever in both directions. Therefore our domain is:
(-∞, ∞) or -∞ < x < ∞
Answer:
a) Total cost = 
b) 11 days
Step-by-step explanation:
Given:
(a)
Number of days in hospital = 
Cost of operation = $ 500
Cost of nursing per day = $170
∴ Cost of nursing for days = $ 
Therefore, the expression for total cost of her operation and nursing care is given as,
, where 
is the total cost.
(b)
Given:
Total cost of operation = 
Using the expression obtained in (a), we solve for .
Plug in 2370 for C and solve for . This gives,
Therefore, Angharad stayed in hospital for 11 days.
Answer:Rigid transformations preserve segment lengths and angle measures.
A rigid transformation, or a combination of rigid transformations, will produce congruent figures.
In proving SAS, we started with two triangles that had a pair of congruent corresponding sides and congruent corresponding included angles.
We mapped one triangle onto the other by a translation, followed by a rotation, followed by a reflection, to show that the triangles are congruent.
Step-by-step explanation:
Sample Response: Rigid transformations preserve segment lengths and angle measures. If you can find a rigid transformation, or a combination of rigid transformations, to map one triangle onto the other, then the triangles are congruent. To prove SAS, we started with two distinct triangles that had a pair of congruent corresponding sides and a congruent corresponding included angle. Then we performed a translation, followed by a rotation, followed by a reflection, to map one triangle onto the other, proving the SAS congruence theorem.
Answer:
147
Step-by-step explanation:
E = greatest common factor of 22 and 30 = 2
F = least common multiple of 3 and 8 = 24
G = 3 * (7 + 10) = G + 30 = 81
3 * 7 + 3 * 10 = G + 30
21 + 30 = G + 30
51 = G + 30
G = 81
H = 5 * (3 + H) = 15 + 45 = 40
5 * 3 + 5 * H = 15 + 45
15 + 5 * H = 60
20 * H = 60
H = 60 - 20
H = 40
E = 2 + F = 24 + G = 81 + H = 40
2 + 24 + 81 + 40 = 147
This was fun lol
