Answer:
option D
Step-by-step explanation:
x-2y≥-12
-2y≥-x-12
y≤0.5x+6
has to be a solid line since y is less than or equal to 0.5x+6
so, options 1 and 3 are not applicable
also, in y≤0.5x+6 , y is less than or equal to this line, thus it only exists on the line and to the right of it (below it)
so, option 2 is wrong also, leaving us with option 4 or D, which in this case is the answer
I attached a file of this inequality's graph to prove my answer once more
Answer:
→[ Certain shade=red paint+ white paint]
→3 cups of red paint=7 cups of white paint
Dividing both side by 7,we get
→ 1 cup of white paint=3/7 cups of white paint
So, 3/7 of a cup should be added to 1 cup of white paint to make certain kind of shape.
Cups of white paint: Cups of red paint= 1. :
k= is constant of proportionality.
Answer:
2x– 3y = –18
3x + y = -5
Converting the equation in slope-intercept form
2x-3y= -18
-3y= -2x-18
-3y= -(2x+18)
3y=2x+18
y=(2x+18)/3
And for equation 2
y= -5-3x
For plotting the graph, the online graphing calculator desmos.com can be used.
The points can be calculated by putting negative and positive values of x in both equations.
The graph is attached as a picture.
As we can see from the graph that two lines intersect at (-3,4) so it is the solution of the given system of linear equations.
Answer:
(D) f(x+1)=2f(x)
Step-by-step explanation:
The sequence is:
Now,
On continuous calculation, we would discover that the next term is gotten from the preceding term by multiplying it by 2.
Therefore for term f(x), the next term f(x+1) is:
f(x+1)=2f(x)