Answer:
b)
The point is (-1,5) and (0,0) also satisfies the given inequalities
The solution of the given inequalities
(x, y) = (4 , -2 )
Step-by-step explanation:
<em>Step(i):</em>-
Given system of equations are
3x + 2y < 8
-5x - 9y > -2
The solution of the given equations are
3x + 2y = 8 multiply '5'
-5x - 9y = -2 multiply '3'
15 x + 10 y = 40 ...(i)
-15x - 27 y = -6.....(ii)
Adding (i) and (ii) , we get
- 17 y = 34
y = -2
Substitute y = -2 in equation 3x + 2y =8
3x - 4 =8
3x = 12
x =4
The solution of the given system of inequalities
(x, y) = (4 , -2 )
<u><em>Step(ii)</em></u>:-
3x + 2y < 8
-5x - 9y > -2
The point is (-1,5)
-3 + 10 < 8
7 < 8
5 - 45 > -2
-40 > -2
The point (0,0) also satisfies the given inequalities
Final answer :-
The point is (-1,5) and (0,0) also satisfies the given inequalities
Answer:
140 square cm
Step-by-step explanation:
7×4×5 =140 this is the answer to yoir question
Answer:
One-third
Step-by-step explanation:
we know that
The probability that a point chosen at random in the triangle is also in the blue square is equal to divide the area of the square by the area of triangle
step 1
Determine the area of triangle
step 2
Determine the area of the square
step 3
Determine the probability
simplify
therefore
One-third
Answer:
The third graph
Step-by-step explanation:
y intecepts at (0, 4) and (0, 12)
the slopes are up 1 over 3 and up 3 over 1
Answer:
x^2 (12 x - 5)
Step-by-step explanation:
Simplify the following:
12 x^3 + (2 x x)/2 - 6 x^2
(2 x x)/2 = 2/2×x x = x x:
12 x^3 + x x - 6 x^2
x x = x^2:
12 x^3 + x^2 - 6 x^2
x^2 - 6 x^2 = -5 x^2:
12 x^3 + -5 x^2
Factor x^2 out of 12 x^3 - 5 x^2:
Answer: x^2 (12 x - 5)
