The domain of g(x) is [4, 7)
<h3>How to determine the domain of g(x)?</h3>
The function is given as:
g(x) = f(x + 3)
Since f(x) is a function, then g(x) is also a function
The domain of f(x) is given as:
[1, 4)
The equivalent of these values in g(x) are
x = 1 + 3 = 4
x = 4 + 3 = 7
Hence, the domain of g(x) is [4, 7)
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You would put 80 x
—- = ——
250 100
So those are fractions^
The first thing you do here is cross-multiply. (It doesn’t matter which sides you multiply together first)
So 250 times x= 250x
Then cross multiply 80 and 100 to get:
8,000
You now have ur new equation:
250x=8,000
The next thing you do here is divide both sides by 250, since 250 is the number with a variable in it (aka “x”)
You then get:
32 students as you’re final answer.
I hope that helped you understand !
<span>Part 1:

option b.
Part 2:

option d
Part 3:

Multiply through by the LCM of 2 and 3 (i.e. 6)

option b
Part 4
x^2-3x-8=x+4

option d
Part 5
Joseph is solving the equation x^2+8x-4=0 using the technique completing the square.
x^2+8x-4=0
x^2+8x+?=4+?
In completeing the square method, you divide the coeficient of x by 2, square the result and add to both sides of the equation.
Therefore, he should add 16 to both sides because (8/2)^2=16.
option d.
</span>
Answer:
j = 1
Step-by-step explanation:
4j + 14 = 18j
subtract 4j from both sides
14 = 14j
divide 14 from both side
j = 1
The answer is B. -3, 3
This is why:
3|3*3| = 27
3|9| = 27
3*9 = 27
The same will happen with -3 since this | means the distance from the number to zero and in this case it is 3 units til you reach zero. So the answer is B. 3, -3