Sorry I really need point but I wish you good luck!
Answer:
4.229
Step-by-step explanation:
75 = 4(2)^x
75/4 = 2^x
Apply ln both sides
ln(75/4) = ln(2^x)
ln(75/4) = x ln(2)
x = ln(75/4) ÷ ln(2)
x = 4.22881869
Answer:
a. false
b. true
c. true
d. true
e. false
Step-by-step explanation:
a. False. The "unit rate" is 19.75 gallons per minute. The "unit" of a "unit rate" is in the denominator. Here, the denominator of the rate is 1 minute.
__
b. True. A graph of a proportional relationship is a straight line through the origin.
__
c. True. In 5 minutes, the water in the pool will increase by 98.75 gallons, about 100 gallons.
__
d. True. The ratio of a y-value to an x-value will always be 19.75. That is the meaning of this proportional relationship.
__
e. False. The points (8, 158) or (7.5949, 150) will be on the graph. The point (8, 150) will not.
Answer:
U=1-5(x-2)^2
Step-by-step explanation:
The equation of the parabola with vertex (h,k) is y=a(−h+x)2+k
Thus, the equation of the parabola is y=a(x−2)2+1
To find a, use the fact that the parabola passes through the point (3,−4): −4=a+1
Solving this equation, we get that a=−5
Thus, the equation of the parabola is y=1−5(x−2)^2
