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Lostsunrise [7]
2 years ago
5

What is the domain of f(x) = log2(x + 3) + 2?

Mathematics
2 answers:
Usimov [2.4K]2 years ago
6 0

x>-3

Step-by-step explanation:

Marysya12 [62]2 years ago
5 0
Remember that you cannot take the log of a negative number, regardless of the base. Also, you can take the logarithm of zero, since no number raised to a power can equal zero (although it come very close). 

Therefore, (x+3), the number inside the logarithm, must be greater than zero. 

x+3 > 0
x > -3 
The domain is x > -3,
or (-3, ∞) in interval notation
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A triangular prism container is full of water of 428 cubic cm. The water is 10 cm deep, what is the base area of the container?
Hatshy [7]
<h3>The base area of triangular prism container is 42.8 cubic centimeter</h3>

<em><u>Solution:</u></em>

<em><u>The volume of triangular prism is given as:</u></em>

v = base\ area \times height

Given that,

A triangular prism container is full of water of 428 cubic cm

The water is 10 cm deep

Therefore,

v = 428 cubic cm

h = 10 cm

<em><u>Substituting the values we get,</u></em>

428 = base\ area \times 10\\\\base\ area = \frac{428}{10}\\\\base\ area = 42.8\ cm^2

Thus the base area of triangular prism container is 42.8 cubic centimeter

3 0
3 years ago
Round 3160.9903 to the nearest tenths place
motikmotik
The tenths place is right after the decimal point. So, 3160.9903 can be 3160.9.
5 0
3 years ago
Read 2 more answers
$470 is raised by 30%. What is the value after the increase?
alekssr [168]
<h3>Answer:  $611</h3>

Work Shown:

30% of 470 = 0.30*470 = 141

The value goes up by $141, so the answer would be 470+141 = $611

A slight shortcut would be to say

1.30*470 = 611

This works because 1.30 = 1 + 0.30 = 100% + 30%

3 0
2 years ago
Read 2 more answers
For what values of x is the quantity x−9 negative?
Contact [7]
X - 9 < 0
add 9 to both sides:-
x - 9 + 9   < 9
x < 9

x - 9 is negative for all values of x less that 9.
6 0
3 years ago
What would the area of an actual pool be in the scale from the drawing is 3:1000
elena55 [62]

Answer:

If this is the complete question them the answer is 1250 m²

Step-by-step explanation:

the pool in the drawing is 15x7.5 and the scale is 3/1000 so if the size in the drawing  is 3 then the actual is 1000.

x=15*1000/3=5000cm which would be 50m

x=7.5*1000/3=2500cm which is 25m

the actual area of the pool is 50*25=1250 m²

8 0
3 years ago
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