Just multiply the 12 miles by two and the gallon by 2 to get an equivalent unit rate
24 miles per 2 gallons
Take derivitive
remember chain rule
dy/dx=1/(x² ? 7x+1) times (2x ? 7)
dy/dx=(2x ? 7)/(x² ? 7x+1)
inputting x=7
the slope at x=7 is (14 ? 7)/(49 ? 49+1)=(14 ? 7)/(49 ? 50)
the slope is (14 ? 7)/(49 ? 50)
use point slope form
y-0=(14 ? 7)/(49 ? 50)(x-7)
y=(14 ? 7)/(49 ? 50)(x-7)
I'm going to take a wild guess that the ? means minus because you were able to type a plus sign
in that case, it would be
y=-2(x-7)
Answer:
25 : 9
Step-by-step explanation:
Given the volume ratio = 125 : 27
Then the linear ratio = ![\sqrt[3]{125}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125%7D)
: ![\sqrt[3]{27}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D)
= 5 : 3
Hence area ratio = 5² : 3² = 25 : 9
9514 1404 393
Answer:
40 minutes
Step-by-step explanation:
The lines are graphed. The point of intersection (A) is where the two sign makers will have made the same number of signs in the same number of minutes. The answer to the question is the x-coordinate of that point, 40 minutes.
__
The equation you want to solve is the one that sets Kiran's y-value equal to Lin's y-value
y = y
1/2x +5 = 1/4x +15
1/4x +5 = 15 . . . . . . . . subtract 1/4x
1/4x = 10 . . . . . . . . . . . subtract 5
x = 40 . . . . . . . . . . . . multiply by 4
At 40 minutes, both will have the same number of signs made.
_____
<em>Alternate solution</em>
Often, you are told to "clear fractions" as a first step in solving equations containing fractions. Here, you would do that by multiplying both sides by 4.
1/2x +5 = 1/4x +15
2x +20 = x + 60 . . . . . multiply by 4
x + 20 = 60 . . . . . . . . . subtract x
x = 40 . . . . . . . . . . . . . subtract 20
Answer:
i am really not sure but you can try to look it up sorry
Step-by-step explanation:
