Answer:
1200
Step-by-step explanation:
The number who drink coffee is 3/4 of 8000, so ...
... (3/4)×8000 = 6000.
Of those, 1/5 add cream, so the number of coffee drinkers who add cream to their coffee is ...
... (1/5)×6000 = 1200.
_____
<em>Alternate solutions</em>
We have computed ...
... (1/5)×((3/4)×8000) = 1200
Since multiplication is associative, you can multiply the fractions first, if you wish:
... ((1/5)×(3/4))×8000 = (3/20)×8000
... = 24000/20 = 1200
or
... = 3×(8000/20) = 3×400 = 1200
Answer:
a) The graph shifted to the left by 3 units and up 1 unit.
b) Domain = x ∈ R Range = y ∈ R
(Domain (x) = All real numbers Range (y) = All real numbers)
c) (-4, 0)
d) (0, 2.442)
~Hope this helps! If you have any questions, please let me know!~
Answer:
300+ 12h=450
12h=150
h=12.5
Step-by-step explanation:
The answer is a (three eights over three fifths= five eights)
Answer: Any real number x as long as
and 
In other words, anything but 0 or -2/3 is valid.
========================================================
Explanation:
Set the denominator equal to zero and solve for x
2(3x^2 + 2x) = 0
3x^2 + 2x = 0
x(3x + 2) = 0
x = 0 or 3x+2 = 0 .... zero product property
x = 0 or 3x = -2
x = 0 or x = -2/3
If either x = 0 or x = -2/3, then the denominator 2(3x^2 + 2x) will be zero. But recall that we cannot have zero in the denominator. Dividing by zero is not allowed. The expression is undefined when we divide by zero.
Therefore, we must exclude x = 0 and x = -2/3 from the domain. Any other real number is valid as an x input.