1. If a - b = 4 and a + b = 12, what is the value of a?
2 answers:
You might be interested in
Answer:
a) x = 5
b) x = 4
Step-by-step explanation:
a) = 9.5
3x+4 = 9.5(2)
3x = 19-4
x = 15/3
x = 5
b) = 5
7+2x = 5(3)
2x = 15-7
x = 8/2
x=4
Using it's concept, it is found that the domain for the expressions is, respectively, given by:
It is the <u>set that contains all possible input values</u>.
In a fraction, the denominator cannot be zero, hence:
- The domain of the first two expressions is of
.
- The domain of the last expression is of
.
The third expression can be simplified, as:
(x + 5)/(x + 5) = 1.
The same is true for the fourth, as:
x²/x = 1.
Neither has any restriction, hence their domain is all real numbers, represented by .
More can be learned about the domain of a function at brainly.com/question/25897115
Answer:
The 6 Lego kits can be selected from the 9 available Lego kits in 84 ways.
Step-by-step explanation:
Use combinations to solve this problem.
Combination is defined as the selection of <em>r</em> elements from <em>n</em> distinct objects irrespective of the order. The objects cannot be replaced.
There are 9 Lego kits available.
And the total number of children is 6.
That is, we need to select 6 Lego kits from the 9 available Lego kits.
6 Lego kits can be selected from the 9 available Lego kits in ways.
Solving the combination as follows:
Thus, there are 84 ways to select 6 Lego kits from 9 available Lego kits.