Select all the correct answers:
1) Yes
2) No
x=8→h(8)=2(8)^2+5(8)+2=2(64)+40+2=128+40+2→h(8)=170
x=8→f(8)=3^8+2=6,561+2→f(8)=5,563>170=h(8)
3) Yes
4) No
5) Yes
rg=[g(3)-g(2)]/(3-2)=[g(3)-g(2)]/1→rg=g(3)-g(2)
g(3)=20(3)+4=60+4→g(3)=64
g(2)=20(2)+4=40+4→g(2)=44
rg=64-44→rg=20
rf=f(3)-f(2)
f(3)=3^3+2=27+2→f(3)=29
f(2)=3^2+2=9+2→f(2)=11
rf=29-11→rf=18
rh=h(3)-h(2)
h(3)=2(3)^2+5(3)+2=2(9)+15+2=18+15+2→h(3)=35
h(2)=2(2)^2+5(2)+2=2(4)+10+2=8+10+2→h(2)=20
rh=35-20→rh=15
rg=20>18=rf
rg=20>15=rh
6) No
x=4→g(4)=20(4)+4=80+4→g(4)=84
x=4→h(4)=2(4)^2+5(4)+2=2(16)+20+2=32+20+2→h(4)=54
x=4→f(4)=3^4+2=81+2→f(4)=83>54=h(4)
f(4)=83<84=g(4)
Answer:
y=5x/2 + 9
Step-by-step explanation:
Check the above picture for workings
I think the answer is B but I am not sure
Answer:
180 hours
Step-by-step explanation:
Surfer #1 takes a capsule every 6 hours, but this is also equal to 2 capsules every 12 hours. Surfer #2 takes 1 capsule every 12 hours. Thus, both surfers take a total of 3 capsules every 12 hours.
By dividing 45 total capsules they need to consume by 3, the number of capsules the surfers consume every 12 hour, you get the total number of hours times 12 it takes for them to consume 45 capsules. 45 / 3 = 15, so it takes 15 * 12 hours for them to consume 45 capsules. This is equal to 180 total hours.
Answer:
-1960
Step-by-step explanation:
The expression on the left expands to ...
(4x -7)² = (4x)² +2(4x)(-7) +(-7)² = 16x² -56x +49
Matching coefficients, you have ...
Then the expression c(b+a) evaluates to ...
49(-56+16) = 49(-40) = -1960
