Answer:
Option 4: y > 2x
x + 2y < -8
Step-by-step explanation:
Taking first equation:
y > 2x
Putting x = 0
y > 0
Putting y = 0
0 > x
So the blue line in drawn according to first equation.
Taking second equation:
x + 2y < -8
Putting x = 0
2y < -8
y < - 4
putting y = 0
x < -8
So the red line is drawn accordingly.
i hope it will help you!
Answer:
The measure of the side 
is 8.8.
Step-by-step explanation:
Since 
, then 
, 
, 
and 
. From figure we have the following relationship:
(1)
Where 
is the proportionality ratio.
If we know that 
, then the measure of side is:
(1b)
(1c)
The measure of the side is 8.8.
Answer:
No.
Step-by-step explanation:
As x increases 2^x will grow faster than 5 x^2. This is because the x in 2^x is an exponent and its graph grows very steeply compared with 5x^2 , as x increases.
For example when x = 10
5x^2 = 5*10^2 = 500
2^x = 2^10 =1024
When x = 11:
5x^2 = 605
2^x = 2048 and the difference will continue to increase.
Answer:
7/10 or 70%
Step-by-step explanation:
There has to be at least two T in each result of the simulation. This means you can also have 3 T's and 4 T's in the result.
These are the results that qualify as having at least two T's.
1. TTTT, 2. TTTT, 3. THTH, 4. HTTT, 5. TTTT, 7. HTHT, 9. THTH
That is 7 out of the 10 results which is 7/10 or 70%
Answer: y = 1/2 or y = -1/2
Step-by-step explanation:
First move the 1 to the side with the 0
-4y^2 = -1 // -1 because when you move a number to the other side of the equation you have to multiply -1
Then divide by -4 on each side
y^2 = 1/4
square root each side
|y| = 1/2 // sq rt y^2 becomes an absolute value because when you square root a square it automatically becomes an absolute value
so the answer would be y = 1/2 or -1/2
to check just put it into the equation as y. Both work.
