Answer:
The graph of g is the graph of f shifted up by 3 units.
Step-by-step explanation:
Consider the graph of a function r with real numbers k and h.
Transformation Effect
r(x) + k shifts the graph up k units
r(x) - k shifts the graph down k units
r(x + h) shifts the graph to the left h units
r(x - h) shifts the graph to the right h units
It is given that g(x) = f(x) + 3. Therefore, the graph of g is the graph of f shifted up by 3 units.
1. x=4
2. x=7
3. x=4
I hope this helped!
Answer:
Both are correct.
Step-by-step explanation:
The key understanding here is that you can factor a monomial in many different ways!
To check if any of the factorizations is correct, we can multiply the factors and see if their product is really 12x^712x
7
12, x, start superscript, 7, end superscript.
Hint #22 / 4
\begin{aligned} (\blueD{4}\maroonD{x^3})(\blueD{3}\maroonD{x^4})&=(\blueD{4})(\blueD{3})(\maroonD{x^3})(\maroonD{x^4}) \\\\ &=\blueD{12}\maroonD{x^7} \end{aligned}
(4x
3
)(3x
4
)
=(4)(3)(x
3
)(x
4
)
=12x
7
So Ibuki is correct!
Hint #33 / 4
\begin{aligned} (\blueD{2}\maroonD{x^6})(\blueD{6}\maroonD{x})&=(\blueD{2})(\blueD{6})(\maroonD{x^6})(\maroonD{x}) \\\\ &=\blueD{12}\maroonD{x^7} \end{aligned}
(2x
6
)(6x)
=(2)(6)(x
6
)(x)
=12x
7
So Melodie is also correct!
Both Ibuki and Melodie are correct.
Answer:
w=4
Step-by-step explanation:
18+3w=30
3w=30-18
3w=12
w=4