Answer:
number of gym members who prefer bicycling : 18/75*350 = 84
number of gym members who prefer exercise classes: 22/75*350 ≈ 103
number of gym members who prefer running on the treadmill: 15/75*350 = 70
number of gym members who prefer weight lifting: 20/75*350 ≈ 93
Step-by-step explanation:
GYM SURVEY RESULTS
Type Number of Members
Bicycling 18
Exercise Classes 22
Running on Treadmill 15
Weight Lifting 20
Total 75
Answer:
a) y = 5x
b) y = 60
Step-by-step explanation:
Since, y is directly proportional to x when y=30, x=6
Answer:
D) 136 sq. in.
Step-by-step explanation:
8x14=112
2x4x3=24
112+24=136
Step-by-step explanation:
As the vertex (−2,5) and focus (−2,6) share same abscissa i.e. −2, parabola has axis of symmetry as x=−2 or x+2=0
Hence, equation of parabola is of the type (y−k)=a(x−h)2, where (h,k) is vertex. Its focus then is (h,k+14a)
As vertex is given to be (−2,5), the equation of parabola is
y−5=a(x+2)2
as vertex is (−2,5) and parabola passes through vertex.
and its focus is (−2,5+14a)
Therefore 5+14a=6 or 14a=1 i.e. a=14
and equation of parabola is y−5=14(x+2)2
or 4y−20=(x+2)2=x2+4x+4
or 4y=x2+4x+24
