Answer:
together they rake 
leaves in one minute.
Step-by-step explanation:
If Maya takes x minutes to rake, then in one minute, she rakes 
leaves.
For Carla, if her raking takes y minutes, in one minute she rakes 
leaves.
Thus, to find the amount they work together in one minute, we add both of their contributions for that minute, resulting in: 
Finally, simplifying this expression gives:
As a result, they collectively rake leaves in a minute.
Answer:
8% likelihood that Anthony may soon join the Acme golf team
Step-by-step explanation:
The probabilities are as follows:
10% chance of being hired by the corporation.
If hired, an 80% probability of making the golf team is expected.
Given this information, we can calculate the probability of Anthony soon playing on the Acme golf team as:
80% of 10%
Thus
P = 0.8*0.1 = 0.08
8% chance that Anthony will soon be part of the Acme golf team
The function's constant term is 5. Step-by-step explanation: we have where b represents the y-intercept or the constant term of the function. The x-intercept indicates the value of x when the function equals zero. Thus, for x = -3, f(x) = 0 and for x = -5, f(x) = 0. Substitute either of the intercepts into the function. Check the other intercept as well. For x = -5, this is proven to be true. Hence, the consistent term in the function is 5.
The domain consists of all x-values for which the function is defined, which are -4, -1, 3, 5, and 6.
Answer:
Step-by-step explanation:
Given:
KL ║ NM,
LM = 45
m∠M = 50°
KN ⊥ NM
NL ⊥ LM
To determine: KN and KL
1. Analyzing triangle NLM, we see it is a right triangle due to NL ⊥ LM. In this context,
LM = 45
m∠M = 50°
Consequently,
It is also true that
(angles LNM and M are complementary).
2. Now considering triangle NKL, it also forms a right triangle as KN ⊥ NM. Within this triangle,
(alternate interior angles)
(angles KNL and KLN are complementary).
Thus,
and
