The answer is f(x) = 5 - 2x
Function form means just replace y with f(x).
So given 8x + 4y = 20:
Subtract 8x
4y = 20 - 8x
Divide both sides by 4
y = 5 - 2x
Answer:
C. 8.0
Step-by-step explanation:
The mechanical advantage is got from dividing the circumference of the shaft by the pitch of the screw.
Therefore, the circumference= 2πr
=2×π×2.3mm
=14.45mm
Mechanical advantage=14.45mm/1.8mm
=8.03
Answer:
The total number of adults will be: 120 adults
Step-by-step explanation:
Given that there were 24 adults and 10 children in a game.
Thus, adults to children ration = 24:10 or 24/10
- If there were 50 children, how many adults would be at the game?
Let 'x' be the number of adults when there 50 children.
so the ration of adults 'x' to 50 childern = x: 50 or x / 50
As the ratio is the same.
Thus,
24 : 10 = x : 50
24/10 = x/50
switching sides
x/50 = 24/10
x = 24/10 × 50
x = 120 adults
Therefore, the total number of adults will be: 120 adults
Answer:
The points that are exactly 10 units from the point (–8, –2) are (2, –2) and (–8, 8).
Step-by-step explanation:
The distance formula is;
d= 
So for distance between: (–8, –2) and (2, –2) is:
d= 
d= 
d= 10 unit
Similarly for distance between: (–8, –2) and (–8, 8) is,
d= 
d=
d= 10 unit
Y - 4x = 7...y = 4x + 7
now sub 4x + 7 in for y in the other equation
2y + 4x = 2
2(4x + 7) + 4x = 2
8x + 14 + 4x = 2
12x = 2 - 14
12x = - 12
x = -1
y - 4x = 7
y - 4(-1) = 7
y + 4 = 7
y = 7 - 4
y = 3
solution is : (-1,3)
