Solve the following; a) If the cost for 6 oranges is 60 rupees, what will be the cost of 6 ¾ dozen oranges? b) How many miles are there between two cities, if the distance is represented by a 4.2 inch line on a map having a scale of 1 inch to 38 miles? c) |3𝑥 − 5| = |−7 − 8𝑥| d) 𝑥 2 + 4𝑥 − 21 , using factoring e) Find the midpoint and the distance of the line segment connecting the points (-3,-7 and 5, -22)
In manufacturing a medical equipment, a firm incurs costs of two types. Fixed annual costs of $ 145,500 are incurred regardless of the number of units produced. In addition, each unit produced costs the firm $7. If C equals total annual cost in dollars and x equals the number of units produced during a year; a) Develop the linear function C = f(x) which expresses annual cost. b) Calculate f (320)? What does f (320) represent? c) What is the y-intercept in the linear function that you have formed in part a and what does it signify?
Let(a↓n) ↓n€B be any sequence. Show that lim↓n-->♾️ a↓n =Liff for every E>0, there exists some N€N such that n>=N implies a↓n N↓e (L)
3. The formula below is often used by projection manager to computer E the estimated time to complete a job, where is the shortest completion time, P is the longest completion time and M is the most likely completion time. E = (0 + 4M + P)/6 Which of the following correctly gives in terms of E ; , and M? a. P = 6E - O - 4M b. P = - 6E + O + 4M
What are the degree and leading coefficient of 2x2 + 4x3 - 6
show step by step:
(2x-4) (x-5)
show step by step:
(2x2 + 4x - 3) - ( 5x2 + x - 7)
show step by step:
(2x+6) + (9x-1)
Write into standard form:
5x6 + 4x2 - 3x - 8x4 + 19
x-4/2x-3<=0