For the first question, all you have to do is substitute the values. for example g(x)=-5x+2 becomes g(-1)=-5(-1)+2
a=-5/2
Step-by-step explanation:
-6a=-5-8a
-6a+8a=-5-8a+8a
2a=-5
a=-5/2
Answer:
a) >
b) >
c) <
d) >
Step-by-step explanation:
a) -3 is closer to 0 so it is larger
b) A positive number is always larger than a negative
c) A positive number is always larger than a negative
d) -234 is 1 larger than -235 which makes it larger
Answer:
Each project has 2.500 man-hours
Step-by-step explanation:
Available man hours: 5000
For two projects Costs $
X: project A 10
Y: project B 12
Approach:
X + Y = 5000 => X = 5000 - Y
10 * X + 12 * Y = 55000
replacing:
10 * (5000 - Y) + 12 * Y = 55000
50000 - 10 * Y + 12 * Y = 55000
2 * Y = 55000 - 50000
Y = 5000/2
Y = 2500
For X:
X = 5000 - 2500
X = 2500
The number of hours available for each project are:
Projects Man hours
X: project A 2500
Y: project B 2500
Answer:
<em>Student 2 is incorrect because he didn't use the formula properly</em>
Step-by-step explanation:
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The initial value of the item is Co=$1000, the rate of decay is r=40%=0.4, and the time is t=3 years.
Substituting into the formula:
C(3)=$216
Student 2 is incorrect because he didn't use the formula properly
