Write an exponential equation in the form y = abx whose graph passes through points (4, 8) and (6, 32). y = 4(8)x

y = 2(0.5)x

y = 0.5(2)x

y = (0.5)x

Option C.

Step-by-step explanation:

The general exponential equation is

It is given that the graph of exponential function passes through points (4,8) and (6,32). It means the equation of exponential function must be satisfied by these points.

      ...(1)

      ...(2)

Divide equation (2) by equation (1).

Taking square root on both sides.

Put b=2 in (1).

Substitute a=0.5 and b=2 in the given general exponential equation.

Therefore, the correct option is C.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;