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2 years ago

What is the range of the function f(x) = 3x2 6x – 8?

Mathematics

1 answer:

Radda [10]2 years ago

5 0

The domain of the function is a real number and the range of the function will be (-11, ∞).

<h3>What are domain and range?</h3>

The domain means all the possible values of the x and the range means all the possible values of the y.

The function is given below.

f(x) = 3x² + 6x – 8

The range of the function will be

f(x) = 3x² + 6x – 8

f(x) = 3x² + 6x + 3 – 11

f(x) = 3(x² + 2x + 1) – 11

f(x) = 3(x + 1)² – 11

Then the range of the function will be from -11 to infinity.

More about the domain and range link is given below.

brainly.com/question/12208715

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Recall that m(t) = (1/2)^t/h for radioactive decay, where h is the half-life. Suppose that a 500g sample of phosphorus-32 decays

katrin2010 [14]

The question is incomplete, here is the complete question:

Recall that m(t) = m.(1/2)^t/h for radioactive decay, where h is the half-life. Suppose that a 500 g sample of phosphorus-32 decays to 356 g over 7 days. Calculate the half life of the sample.

Answer: The half life of the sample of phosphorus-32 is $14.28days^{-1}$

Step-by-step explanation:

The equation used to calculate the half life of the sample is given as:

$m(t)=m_o(1/2)^{t/h}$

where,

m(t) = amount of sample after time 't' = 356 g

$m_o$ = initial amount of the sample = 500 g

t = time period = 7 days

h = half life of the sample = ?

Putting values in above equation, we get:

$356=500\times (\frac{1}{2})^{7/h}\\\\h=14.28days^{-1}$

Hence, the half life of the sample of phosphorus-32 is $14.28days^{-1}$

7 0

4 years ago

Whats a like term for this equation 1/7-3(3/7 times n - 2/7) pleaseee help

Rama09 [41]

Answer:

All the numbers with the same variable(or none), or in this case 1/7, 3/7, 2/7 are like terms.

Step-by-step explanation:

n is a variable that all other number does not have.

7 0

4 years ago

How do you graph this?

Levart [38]

You should model it if you know the thingy to the answer then multiply the dividend to get the multiplcation using the essenials standard algarithm for properties of equality.

8 0

3 years ago

10 - 2 +6= 3x (7 + 8)

Anarel [89]

Answer:

x = $\frac{14}{45}$

Step-by-step explanation:

10 - 2 + 6 = 3x (7 + 8)

3x (7 + 8) = 10 - 2 + 6

21x + 24x = 8 + 6

45x = 14

x = 14 ÷ 45

x = $\frac{14}{45}$

3 0

3 years ago

-2 (x+2) = -2+1 x = ? ○ 0 ○ All real numbers ○ No solution

nadya68 [22]

For the equation to equal x would be -1.
x = -1

-2 (-1+2) = -2 +1
-2+1 = -2+1

8 0

3 years ago