Answer:
{x = 2 , y = -2
Step-by-step explanation:
Solve the following system:
{y = 4 - 3 x | (equation 1)
{y = x/2 - 3 | (equation 2)
Express the system in standard form:
{3 x + y = 4 | (equation 1)
{-x/2 + y = -3 | (equation 2)
Add 1/6 × (equation 1) to equation 2:
{3 x + y = 4 | (equation 1)
{0 x+(7 y)/6 = (-7)/3 | (equation 2)
Multiply equation 2 by 6/7:
{3 x + y = 4 | (equation 1)
{0 x+y = -2 | (equation 2)
Subtract equation 2 from equation 1:
{3 x+0 y = 6 | (equation 1)
{0 x+y = -2 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 2 | (equation 1)
{0 x+y = -2 | (equation 2)
Collect results:
Answer: {x = 2 , y = -2
Answer:
Step-by-step explanation:
<h2><u>Part A</u></h2>
in interval ( 0 ; 2)
<h2><u>Part B</u></h2>
in interval (2; 4)
<h2><u>Part C</u></h2>
in interval (4 ; 6 )
<h2><u>Part D</u></h2>
The graph shows that at first the ball rises up ; and then it is seen that it goes down and loses height to zero , from which it can be concluded that the height after 10 seconds remains unchanged and therefore the height of the ball after 16 seconds will be zero
Answer:
Step-by-step explanation:
<em><u>Given:</u></em>
A salary of 50,000$/year
Assuming that the worker works 40 hours per week
<em><u>Solve for:</u></em>
Salary per hour
<em><u>Solution:</u></em>
Step 1: Select the procedure
Calculate the number of working hours per year.
Then convert the salary/year to salary/hour.
Step 2: Perform the calculation
One year has approximately 52 weeks (365 = 52 x 7 + 1, 366 = 52 x 7 + 2).
To avoid the unnecessary complicated calculation, we assume one year has 52 weeks. Each week, the worker works 40 hours.
=> The working hours of this worker in one year:
H = 40 x 52 = 2080 (hour)
=> The salary per hour of this worker:
S = salary/hour = 50000/2080 = ~24.04 (dollar/hour)
Hope this helps!
:)