Answer:
x = 6
Step-by-step explanation:
Step 1: Write equation
-4x + 6 = 3x - 36
Step 2: Solve for <em>x</em>
- Add 4x to both sides: 6 = 7x - 36
- Add 36 to both sides: 42 = 7x
- Divide both sides by 7: x = 6
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-4(6) + 6 = 3(6) - 36
-24 + 6 = 18 - 36
-18 = -18
Given:
The polynomial is:

To find:
The degrees and determine whether it is a monomial, binomial, or trinomial.
Solution:
We have,

The highest power of the variable <em>x</em> in the given polynomial is 4. So, the degree of the polynomial is 4.
Monomial: Polynomial with one term.
Binomial: Polynomial with two terms.
Trinomial: Polynomial with three terms.
In the given polynomial, we have three terms
. So, the given polynomial is trinomial.
Therefore, the degree of the polynomial is 4 and it is a trinomial.
Answer:
y ≥ 8
Explanation:
Note that if f(x) is transformed into f(x + a) - b
The original functions is shifted a units to the left and b units downward.
Horizontal shifting will not affect the range of the function, only vertical shifting will change its range.
From the given, g(x) is the transformation of f(x) with

f(x) is shifted 2 units to the left and 3 units downward, we will disregard the horizontal shifting.
Since f(x) has a range of y ≥ 11, and g(x) is 3 units downward, the range will also move 3 units downward.
y ≥ 11 - 3
The answer is y ≥ 8