Answer:
(
−
∞
,
∞
) {
x
|
x
∈
R
}
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
6 and 12 are two common factors
Answer:
All real values of x such that x ≥-3
Step-by-step explanation:
g(x) = sqrt(x+3)
A sqrt must be greater than or equal to zero
sqrt (x+3) ≥ 0
Square each side
x+3≥ 0
Subtract 3 from each side
x ≥-3
The restrictions on x are x ≥-3
That means the domain is x ≥-3
All real values of x such that x ≥-3
Answer:
$12 000 in Portfolio 1 and $13 000 in Portfolio 2
Step-by-step explanation:
The formula for simple interest is
I = Prt
For each portfolio, t = 1 yr
For Portfolio 1, i = 5.25 % = 0.0525
For Portfolio 2, i = 4 % = 0.04
Let x = amount invested in Portfolio 1. Then
25 000 - x = amount invested in Portfolio 2 and
25 000 - x = 25 000 - 12 000 = 13 000
So, $12 000 is invested in Portfolio 1 and $13 000 is invested in Portfolio 2.
Check:
OK.
Answer:
1000 -25x >250.
Step-by-step explanation:
Let us assume the capacity of a large bottle = 1000 ml.
And the capacity of each small bottle = 25 ml.
Reaming milliliters in large bottles = 250 milliliters.
Number of bottles = x bottles.
The total capacity of the large bottle - capacity of a small bottle × number of bottles > Remaining milliliters in a large bottle.
Therefore, we can set up an inequality.
1000 - 25 × x > 250.
1000 -25x >250.
