Answer:
Step-by-step explanation:
The given piecewise function i
From the given function it is clear that function is divided at x=-1 and x=2. It means we check the discontinuity at x=-1 and x=2.
For x=-1,
LHL:
Since LHL ≠ f(-1), therefore the given function is discontinuous at x=-1.
For x=2,
LHL:
Since LHL ≠ f(2), therefore the given function is discontinuous at x=2.
Therefore, the correct option is A.
Answer:
about 6.6 years
Step-by-step explanation:
41,500=14,000*.45*x
41,500=6,300*x
41,000/6,300=x
6.5873=x
6.6=x
1 .Fridays and Saturdays, she works 16 hours
16 x $9.70 = $155.20
answer: her gross pay in a week: $155.20
2. 7 hours on Wednesday, 6 hours on Thursday, and 9 hours on Friday. His gross pay for all three days was $196.90
7 + 6 + 9 = 22
196.90 / 22 = $8.95
answer: his hourly rate was $8.95
3.hourly rate of $11.28 per hour worked 46 hours last week. She works overtime for hours exceeding 40 hours in a week. She is paid overtime at a rate of time and a half. What was her gross pay last week?
$11.28 x 40 = $451.20 ---normal 40 hours paid
46 - 40 = 6 (6 hours over time)
11.28 + 11.28/ 2 = $16.92 (overtime pays a rate of time and a half)
6 * $16.92 = $101.52
$451.20(40hours) + $101.52(6hours overtime) = $552.72
answer: her gross pay last week was $552.72
4. Paul received a $15 tip on a meal that cost $120. What percent of the meal cost was the tip?
15 / 120 = .125
.125 * 100 = 12.5%
answer: percent of the meal cost was the tip was 12.5%
5. Carly earns a weekly salary of $720 plus 4% commission. Last week, she sold $3250 worth of products. What was her gross pay?
4% = .04
$3,250 * .04 = $130 (commission on sold products)
$720 + $ 130 = $850
answer: her gross pay was $850
The functions are:
and
.
After 2 weeks, under no risk of spiders, the population of the flies is calculated by the function as
.
Similarly, we calculate s(2)=2(2)+5=4+5=9, which means that the spider consumes 9 flies in 2 weeks.
Thus, out of 32 flies, 9 are eaten by the spider, so there are 32-9=23 flies left.
Answer: 23
Answer:
i belive that the awnser is y=-1.25x+1000
Step-by-step explanation: you want to get y by itself so you would subtract x from both sides leaving you with
56y=-70x+56,000
then you would devide both sides by 56 leaving you with
y=-1.25x+1000
