Kiran Jogs Case Study - Mathematics Assignment Help

Assignment Task:

Task:

Problem 1: 
x+4x2 Solve x — = x2 +3 for x. 
Problem 2: 
4 5  Solve = 4+. for x.x 
Problem 3: 
. 1 2x+50 Show that the equation =450) is equivalent to x2 — 70x — 3000 = 0 for all values of x not equal to 0 or -50. Explain each step as you rewrite the original equation. 
Problem 4: 
Kiran jogs at a speed of 6 miles per hour when there are no hills. He plans to jog up a mountain road, which will cause his speed to decrease by r miles per hour. Which expression represents the time, t, in hours it will take him to jog 8 miles up the mountain road? 
A: t = r t=   6+r 
C: t =6+r 
D: t = 6—r 
Problem 5: 
The rational function g ( .+11) x) = can be rewritten in the f orm c (x) c —7 where c and r are constants. Which expression is  the result? 
A; g (x) = x B: g (x) = 1 + 1,0 C; g (x) = X — D: g (x) = 1 — 1 
Problem 6: For each equation below, find the value(s) of x that make it true. A; 10 = 1+7' 7+x B: 0.2 -- 6+2x 12+x 
C: 0.8 = 
D: 3.5 = 
0,5+x 
4+2x 
Problem 7: 
A softball player has had 8 base hits out of 25 at bats for a current batting average of = .320. 
How many consecutive base hits does she need if she wants to raise her batting average to .400? Explain or show your reasoning. 
 

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