Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
a) 
When factoring a binomial (a polynomial with two terms), what we will be looking for are the terms that are shared between them.
In this problem, it can be seen that both of these terms have and x. This means that we can factor it out to get
b) 
What are the common terms here?
It can be seen that each of these share a 2x, so our factored form would be
c) 
What about this one?
The common factor of this one is 5x, so our factored form would be
d) 
The common factor of this one is 
, so our factored form would be
Step-by-step explanation:
x = number hours dog walking
y = number hours tutoring
x + y <= 11
6x + 10y >= 80
the solution is the common area below the first line and above the second line.
the first line is above the second line (due to the y-intercept of 11 vs. 8) until the crossing point.
for the crossing point we use the regular equations :
from the first we get
x = 11 - y
using this in the second
6×(11 - y) + 10y = 80
66 - 6y + 10y = 80
4y = 14
y = 14/4 = 7/2 = 3.5
x = 11 - y = 11 - 3.5 = 7.5
so, she has to do at least 3.5 hours tutoring (and then 7.5 hours dog walking) for the minimum of $80 earning, all the way up to the maximum of 11 hours tutoring (and 0 dog walking) for $110 earning.
Answer: A,d,f
Step-by-step explanation:
Because you have to simplify the ratios of the colors.
