From 1st condition:
3^(x+1)=81
Take log on both sides,
➡ log [3^(x+1)]=log81
Use the property: log(x^a)=a logx
➡ (x+1) log 3=log(3⁴)
➡ (x+1) log 3=4×log 3
➡ (x+1)=4 (log 3 /log 3)
➡ x+1=4
➡ x=3➡↪➡↪ ANS
From 2nd condition, (Same process are repeated)
81^(x-y)=3
➡ 3^4(x-y)=3
➡ log [3^4(3-y)]=log 3
➡ 4(3-y) log 3=log 3
➡ (3-y)=(log 3)/(4log 3)
➡ 3-y=(1/4)
➡ y=11/4 ➡↪➡↪ ANS
Hey there!
"9 pounds more than" means that you'll be adding 9 to the expression.
"half the weight w" means that you'll be calculating half of w each time you solve the equation, or 0.5w.
Your entire expression will be 0.5w + 9.
Hope this helped you out! :-)
welll...you have there written just one relationship...it is berween 280 and 4 hours...you have to figure out speed:
it is speed per hour
then you just connect time and speed:
- 140 - 2
- 280 - 4
- 350 - 5
- 420 - 6
- 560 - 8
- 700 - 10
Answer:
3z(2x - 3)
Step-by-step explanation:
Area of a rectangle, a = height * width
height, h = 3z
width, w = 2x - 3
a = 3z * (2x -3)
expand
a = 6xz - 9z
a = 3z(2x - 3)
