Step-by-step explanation:
Any coordinates in the shaded area are solutions. Any coordinates on the line are not a solution due to it being dashed. Anything in the non-shaded area is also not a solution. You can always check if you are right by plugging in the numbers.
Example: (1, -2)
-2 < 0.5(1) + 2
-2 < 0.5 + 2
-2 < 2.5
True, -2 is less than 2.5.
Another Example: (-2, 1)
1 < 0.5(-2) + 2
1 < -1 + 2
1 < 1
False, 1 is not less than itself.
Only one time...............
Answer:
-9
Step-by-step explanation:
an integer is a whole number!
Answer:
f(3) = 10
Step-by-step explanation:
If x = 3 then fill in the x's on the original equation and solve;
f(x) = 2x + 4
f(3) = 2(3) + 4
2 x 3 = 6
6 + 4 = 10
So, f(3) = 10
Hope this helps!!!
In Luke's drawing, the height of the fountain is 4 cm. It is obtained after finding the real height of the fountain using the scale used by Isabella.
<h3>What is a scale?</h3>
A scale, in mathematics, is a ratio of the dimensions in a drawing to the actual dimensions. The formula is
<em>Scale = dimension in the drawing : actual dimension</em>
Given
- The scale from the fountain to Isabella's drawing is 6 m to 3 cm
- The height in Isabella's drawing = 5 cm
- The scale from the fountain to Luke's drawing is 5 m to 2
What is the height of the fountain in Luke's drawing?
The scale used by Isabella
= 3 cm : 6 m
= 3 cm : 600 cm
= 1 : 200
The actual height of the fountain
= dimension in the drawing × scale
= 200 × 5
= 1.000 cm
The scale used by Luke
= 2 cm : 5 m
= 2 cm : 500 m
= 1 : 250
The height in Luke's drawing
= the actual height ÷ scale
= 1.000 ÷ 250
= 4 cm
Hence, in Luke's drawing, the height of the fountain is 4 cm.
Learn more about scale here:
brainly.com/question/16870997
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