To start, we're given the range that x lies in: from -1 to 4. We know from the fact that
![-1 \leq x](https://tex.z-dn.net/?f=-1%20%5Cleq%20x)
that -1 will be <em /><em>included</em> in that range, so we mark -1 on the number line with a solid circle. We also know from
![x\ \textless \ 4](https://tex.z-dn.net/?f=x%5C%20%5Ctextless%20%5C%204)
that, while x can be any value <em>up to</em> 4, it does not <em>include </em>4. We indicate this by drawing a hollow circle around 4 on the number line. Since x can be <em>any value within this range</em>, we make that fact clear by drawing a bold line between the points -1 and 4 on the number line. I've attached an image of what our final graph would look like.
to shift a graph to the left, we add inside the function
h(x)=3|x+1|−2
g(x)=3|x+1+2|−2
g(x)=3|x+3|−2
Answer:
the answer to this would be $5.20
Step-by-step explanation:
0.40 times 13 = 5.20
Answer:
x = 50
m∠D = 150°
m∠F = 30°
Step-by-step explanation:
- supplementary angles are two angles whose sum is 180°
∠D + ∠F = 180°
3x + x - 20 = 180
3x + x = 180 + 20
4x = 200
x = 200/4
x = 50
D = 3*50 = 150
∠D = 150°
F = 50 - 20 = 30
∠F = 30°