Answer:
So the slope of this function is 
and the y-intercept is 
Step-by-step explanation:
A first order function has the following format:
In which a is the slope and b is the y-intercept, that is, the value of y when x = 0.
We have the following equation:
We just have to rewrite this equation
Which means that
So the slope of this function is and the y-intercept is
Answer:
- 8 small houses; 0 large houses
- 80 small houses; 0 large houses
Step-by-step explanation:
a) The maximum number of houses Sam can build in 24 hours is 8, so the constraint is in construction, not decoration. For each small house Sam constructs, he makes $10/3 = $3.33 per hour of work. For each large house Sam constructs, he makes $15/5 = $3.00 per hour. The most money is to be made by building only small houses.
Sam should make 8 small houses and 0 large houses in 24 hours.
__
b) If Sam works 8-hour days, then he can complete at most 80 small houses. The constraint remains in construction, so the answer is the same: build only small houses.
_____
If Sam works more than 16 2/3 hours per day, he can build 100 large houses or more, so the constraint moves to decoration. The decorator makes more money by decorating large houses, so all the effort should go to construction of large houses.
If Sam works between 10 and 16 2/3 hours per day, the best revenue will come from some mix. The problem statement is unclear as to how many hours Sam works in 30 days.
Answer:
17 1/2
Step-by-step explanation:
19+7÷2-5
Solve using PEMDAS
Divide first
19 + 7/2 -5
Then add and subtract from left to right
Getting a common denominator
38/2 + 7/2 - 10/2
45/2 - 10/2
35/2
17 1/2
Answer:
Step-by-step explanation:
<u>The original logo is a triangle and has dimensions of </u>
<u>The scale factor is </u>
<u>Area of the logo on shirts</u>
- A = 1/2bh
- A = 1/2*(1.5*8)(1.5*8) =72 in²
Answer: 345 problems
Step-by-step explanation:
23 students × 15 problems
=345 problems
