Answer:
the first option, (-4, 6)
Step-by-step explanation:
for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.
1. (-4,6)
x + 4y > 12
-4 + 4(6) > 12
20 > 12 is true
now we can substitute the second inequality.
3(6) > -4 + 6
18 > 2 is true, therefore making this set of points true.
it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :
5 + 4(2) > 12
5 + 8 > 12
13> 12 is true
3(2) > 5 + 6
6 > 11 is not true
the rest of the answer choices are also not true.
I hope this helped you!
Answer:
He could use y+3x=-4
Step-by-step explanation:
When we subtract 3x on both sides, we get y=-4-3x, which means we just solved a variable and can substitute into the other equation 2x-3y=-21
Answer:
Step-by-step explanation:
Total number of balls =
Let S be the sample space.
Then, n(S) = Number of ways of drawing 2 balls out of 7
= ⁷ C₂
=
=21
Let E = Event of drawing 2 balls, none of which is blue.
∴n(E)= Number of ways of drawing 2 balls out of (2 + 3) balls.
= ⁵ C₂
=
= 10
∴ P (E) =
Answer:
8133.38
Step-by-step explanation:
Given that :
Initial value, P = 8100
Growth rate = 0.35% every 4 decade = 0.35% /40 = 0.0000875 per year
Quantity after 47 years
Using the relation :
A = P*e^(rt)
Amount after t years
t = 47 years
A = 8100 * e^(0.0000875*47)
A = 8100 * e^0.0041125
A = 8100 * 1.0041209
A = 8133.3798
A = 8133.38 (nearest hundredth)
Answer:
Step-by-step explanation:
If you were to replace x with 0 in each of the equations, you would get
from top to bottom choices:
2
-2
Since we can see that the line touches the y-axis on the number -2, we know that it is the last choice that is the answer