<span>Illnesses ▬▬▬> Flu Other Illnesses Other Illnesses
\ (requiring (not requiring
\ rest) rest)
\ / |
\ / |
\ / |
Remedy ▬▬▬▬▬▬> Rest Other Remedies
- If the doctor recommends rest, the patient has the flu. ... FALSE
- The patient has the flu. ... (same thing) ... FALSE
- The patient does not have the flu. ... FALSE
No conclusions can be drawn.</span><span>
</span>
Consider the value of f at x=2.
f(2)=5*2+15=10+15=25. Thus, we have the point (2, 25) in the graph of f.
The graph of g is the graph of f compressed horizontally by a factor of 1/5.
So at 2, the y-coordinate is 25(1/5=5). That is, we have the point (2, 5).
All pairs (x, y) in f can be described by (x, 5x+15), thus, all pairs (x, y) in g can be described by (x, (5x+15)/5), that is (x, x+3). Thus, the rule for g is :
g(x)=x+3.
Answer: <span>A) g(x)=x+3</span>
The friend is wrong - According to the Pythagorean Theorm, if c is the hypotenuse and a and b are opposite sides then c^{2} = a^{2} + b^{2}
if c=65 inches, a=16 inches and b = 63 inches, then
65^{2} =16 ^{2} + 63^{2}
right hand side of the equation = 256 + 3969 = 4225
left hand side of the equation = 65^{2}= 4225
So we see, left hand side = right hand side
Hence the theorm is proved.
Solve for m:
8 = m/4
8 = m/4 is equivalent to m/4 = 8:
m/4 = 8
Multiply both sides of m/4 = 8 by 4:
(4 m)/4 = 4×8
(4 m)/4 = 4/4×m = m:
m = 4×8
4×8 = 32:
Answer: m = 32 thus m - 12 = 32 -12 = 20
