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murzikaleks [220]
3 years ago
7

What are the domain restrictions of the function f(x) = the quantity of x squared plus 6x plus 9, all over 3x plus 15.

Mathematics
1 answer:
dangina [55]3 years ago
6 0

Answer:

x = - 5

Step-by-step explanation:

Given

f(x) = \frac{x^2+6x+9}{3x+15}

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve : 3x + 15 = 0 ⇒ 3x = - 15 ⇒ x = - 5 ← excluded value

Domain x ∈ R , x ≠ - 5

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Find the sum of -1.5 +3.5 + 2
GarryVolchara [31]

Answer:

4, see below :)

Step-by-step explanation:

We can rewrite the equation into:

3.5 + 2 - 1.5

First we add 3.5 and 2

3 and 2 are in the ones place so:

5, and then you added the .5

5.5

Then:

5.5 - 1.5

First we subtract the tenths place so:

.5 - .5 = 0

Then the ones:

5 - 1 = 4

6 0
3 years ago
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The temperature dropped 4°C every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?
RUDIKE [14]

Answer:

-24 degrees Celsius

Step-by-step explanation:

6 x -4 = -24

5 0
2 years ago
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Is y-2x=0 proportional?
xz_007 [3.2K]
Yes because it has 0 in it
8 0
2 years ago
An arithmetic sequence has t1 = 6 and common difference 2 find t12 and s12​
Sergeeva-Olga [200]

Answer:

See below ~

Step-by-step explanation:

Finding t₁₂ :

⇒ t₁₂ = t₁ + 11d

⇒ t₁₂ = 6 + 11(2)

⇒ t₁₂ = 6 + 22

⇒ t₁₂ = 28

=============================================================

Finding S₁₂ :

⇒ S₁₂ = 12/2 × 2t₁ + (12 - 1)d

⇒ S₁₂ = 6 × 2(6) + 11(2)

⇒ S₁₂ = 6 × 12 + 22

⇒ S₁₂ = 6 × 34

⇒ S₁₂ = 204

4 0
1 year ago
Find the area of a regular octagon with an apothem of 8
xenn [34]

Answer:

308cm²

Step-by-step explanation:

Assuming the given unit is in cm

The expression for the area of a regular Octagon is

A=2(1+√2)a²

Given the apothem a = 8cm

Substituting we have

A=2(1+√2)8²

A= 2(1+1.414)64

A= 2(2.414)64

A= 308cm²

6 0
3 years ago
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