The matching of definitions and terms are done below.
- Some number increased by two ⇒ b + 2
- A variable decreased by two ⇒ x – 2
- Product of an unknown value and two ⇒ 2z
- Quotient of some number and two ⇒ a ÷ 2
- An unknown value squared ⇒ y²
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Match the verbal expression (term) with its algebraic expression (definition).
Some number increased by two ⇒ b + 2
A variable decreased by two ⇒ x – 2
Product of an unknown value and two ⇒ 2z
Quotient of some number and two ⇒ a ÷ 2
An unknown value squared ⇒ y²
More about the Algebra link is given below.
brainly.com/question/953809
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It is <span>B) x-axis only
if i am wrong sorry
</span>
Answer:
When we have a rational function like:

The domain will be the set of all real numbers, such that the denominator is different than zero.
So the first step is to find the values of x such that the denominator (x^2 + 3) is equal to zero.
Then we need to solve:
x^2 + 3 = 0
x^2 = -3
x = √(-3)
This is the square root of a negative number, then this is a complex number.
This means that there is no real number such that x^2 + 3 is equal to zero, then if x can only be a real number, we will never have the denominator equal to zero, so the domain will be the set of all real numbers.
D: x ∈ R.
b) we want to find two different numbers x such that:
r(x) = 1/4
Then we need to solve:

We can multiply both sides by (x^2 + 3)


Now we can multiply both sides by 4:


Now we only need to solve the quadratic equation:
x^2 + 3 - 4*x - 4 = 0
x^2 - 4*x - 1 = 0
We can use the Bhaskara's formula to solve this, remember that for an equation like:
a*x^2 + b*x + c = 0
the solutions are:

here we have:
a = 1
b = -4
c = -1
Then in this case the solutions are:

x = (4 + 4.47)/2 = 4.235
x = (4 - 4.47)/2 = -0.235
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The value of the "6" in 49.62 is in the<u> tenth</u> place