Answer:
c=-1/4
Step-by-step explanation:
Y=2x+c=2(x+c/2), so m=2.
To be tangent we need to check y’ of parabola: y’=2x+3.
So for some x it must be 2x+3=2 (cause m=2). We have x=-1/2.
Now we use x=-1/2 to find y from 2nd equation (equation of parabole): we got y=1/4-3/2=-5/4.
So tangent has point (-1/2,-5/4).
Put that point in firts equation (equation of line): -5/4=-1+c,
so we have c=-1/4.
Answer:56,700
Step-by-step explanation: 2.1 multiplied by 27,000 equals 56,700.
There will be 180 mL of water left.
To convert liters to milliliters, multiply by 1000:
0.4(1000) = 400
Each student will use two 5-mL spoons of water; 2(5) = 10 mL each. 10(22) = 220 total mL
400-220 = 180 mL left
---Cross multiply
2x = 36
---Divide both sides by 2
x = 18
Hope this helps!
