Answer:
x + 4y ≤ 15; y ≥ 0
Step-by-step explanation:
The graph doesn't do a very good job of modeling any of the given equations. However, the equations listed above seem the best fit.
The slope of the top (left) line is negative, so the equation will be of the form ...
x + 4y = something
When y=0, x=15, so the "something" is expected to be 15.
However, the line appears to go through points (6, 2) and (-2, 4). Both of these points are on the line x + 4y = 14.
The graph is shaded <em>below the line</em> so the values of x and y that are in the shaded area will add to <em>less than</em> 15 (or 14). Hence, the inequality will be ...
x + 4y ≤ something . . . . . part of the 3rd answer choice
The fact that the shading does not go below y=0 means the other limit is ...
y ≥ 0 . . . . . part of every answer choice.
Ok, first let's multiply:
3 x 1/6 = 3/6 (simplify:) 1/2
Then multiply again:
3 x 1/9 = 3/9 (simplify:) 1/3
Now the expression is simplified to (1/2x, 1/2y)
Hope this helped! Please comment or DM me if you have anymore questions or don't understand :)
We know that
[the area of composite figure]=[area of rectangle]+[area of a half circle]
[area of rectangle]=b*h
where
b=the base
h=the height
[area of rectangle]=b*h--------> 4.1*8.6---------> 35.26 cm²
[area of a circle]=pi*r²
where
r=the radius
r=4.1/2-------> 2.05 cm
the figure is a half circle
then
[area of a half circle]=pi*r²/2--------> pi*2.05²/2--------> 6.60 cm²
[the area of composite figure]=35.26+6.60--------> 41.86 cm²
the answer is
41.86 cm²
The slope formula is y2 - y1/x2 - x1.
First plug in x = 1, x = 2, and x = 3 in to the equation y = 4x to find the first 3 points(Like the first three are shown for the table.) which are (1, 4), (2, 8), and (3, 12).
The slope of the table would be 9 - 3/3 - 1, after subtracting you get 6/2. You would then divide 6 by 2, which gives you 3. 3 is the slope of the table.
The slope of the equation goes through the same process. 12 - 4/3 - 1, after subtracting it's 8/2, and after dividing you get 4. The slope of the equation is 4.
This means the equation has the greater slope.
