Step-by-step explanation:
Given inequality is
.
To graph that inequality, first we need to graph the line
. Then shade it for the inequality symbol <.
Graphing line can be done using two points.
plug x=0 into
, we get:

Hence first point is (0,2)
Similarly plug any random number for x say x=4, we get:

Hence first point is (4,5).
Now we just need to graph both points and join them by a dotted line. because we have < not <=.
Next part is to test for shading.
Which can be done using any test point which is not on the given line. Say (0,0)
plug x=0,y=0 into
.


0<2
which is true, hence shading will be in direction of test point (0,0).
Hence final answer will be the choice which looks like the graph attached below;
Answer:
The answer is A, (1,2).
Step-by-step explanation:
Hope this helps!
8x-4(x+1) = 0
x =1
y = 1 + 1
y = 2
(x,y) = (1,2)
2 = 1 + 1
8 x 1 - 4 x 2 = 0
Simplify
2 = 2
0 = 0
Solution = (1 , 2)
Answer:
4/3
Step-by-step explanation:
To know this, let's write down the formulas for the volume of cylinder and sphere.
Vs = 4/3πr³ (1)
Vc = π r² h (2)
Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:
Vs / Vc = 4πr³ / 3πr²h
Vs/Vc = 4πr³ / 3πr³
From here, we can cancel out the values of π and r³:
Vs/Vc = 4/3
<h2>
Vs = 4/3 Vc</h2>
Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.
Hope this helps
Answer:
0.8*x*(‑5)/7
Step-by-step explanation:on the qraph
Answer:
No
Step-by-step explanation:
No function, because the same output can't have two different inputs.