if f(x) = 9 + 3x, find f(-2).
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a- -24
b- -3
c- 3
d- 4

From the given function, the value of f(-2) is 3. The correct option is C- 3

From the question, the given function is f(x) = 9 + 3x

To determine the value of f(-2), we will put x = -2 and then evaluate,

From the given function

f(x) = 9 + 3x

Put x = -2

Then, we get

f(-2) = 9 + 3(-2)

f(-2) = 9 + (3× -2)

f(-2) = 9 + (-6)

Then,

f(-2) = 9 + -6

(NOTE: +×- = -)

f(-2) = 9 - 6

f(-2) = 3

Hence, from the given function, the value of f(-2) is 3. The correct option is C- 3

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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;

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x