All categories

3 years ago

If f(x)= x2 - 4x - 4, find the input values that make the function 0.

Mathematics

1 answer:

olchik [2.2K]3 years ago

6 0

Step-by-step explanation:

f(x) = x² - 4x - 4

the general formula for solving such a quadratic equation (for f(x) = 0) is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = -4

x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =

= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)

x1 = 2 + 2×sqrt(2)

x2 = 2 - 2×sqrt(2)

You might be interested in

C + c - 14a + 15bm - 13a - 17bm=?

Nutka1998 [239]

C + c - 14a + 15bm - 13a - 17bm
rearrange
c + c - 14a - 13a + 15bm - 17bm
combine like terms
2c - 27a - 2bm

And got my Math paper 4 IGCSE external tomorrow, thanks for posting this question that helped me more!

7 0

4 years ago

In October, the full price of a television is $695.Over the next 7 months, the price of the television drops a total of $140. Ho

son4ous [18]

The answer to the question is $20 each month

7 0

3 years ago

What is logs(4.7)+logs 2 written as a single log?

Ipatiy [6.2K]

ANSWER

$log_{s}(56)$

EXPLANATION

The given logarithmic expression is:

$log_{s}(4 \times 7) + log_{s}(2)$

Recall and use the product rule of logarithm

$log_{a}(b) + log_{a}(c) = log_{s}(bc)$

We apply this rule to obtain,

$log_{s}(4 \times 7) + log_{s}(2) = log_{s}(4 \times 7 \times 2)$

We multiply out the argument to get;

$log_{s}(4 \times 7) + log_{s}(2) = log_{s}(56)$

The correct answer is

$log_{s}(56)$

7 0

3 years ago

In a study of facial behavior, people in a control group are timed for eye contact in a 5- minute period. Their times are normal

Lorico [155]

Answer:

0.20148

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 230

μ is the population mean = 184

σ is the population standard deviation = 55

z = 230 - 184/55

z = 0.83636

P-value from Z-Table:

P(x<230) = 0.79852

P(x>230) = 1 - P(x<230) = 0.20148

Therefore, the probability that the eye contact time is greater than 230 seconds is 0.20148

3 0

3 years ago

Its more than one answer please help

deff fn [24]

Answer:sfdlkjbnsfdkhvbsajdfvbgjesfdhgsefhsgdajgkhdsf

Step-by-step explanation:

5 0

3 years ago