Answer:
x = -8
y = 9
Step-by-step explanation:
to solve this expression using simultaneous equation, we would say let
y =9............................................. equation 1
6x + 5y =-3............................................equation 2
substitute equation 1 into equation 2
-3 = 6x + 5y............................................equation 2
6x + 5(9) = -3
6x + 45 = -3
collect the like terms
6x = -3-45
6x = -48
divide both sides by the coefficient of x which is 6
6x/6 = -48/6
x = -8
therefore y = 9
x = -8
Answer:
Step-by-step explanation:
Given that you have eight cards. Five are green and three are yellow. The five green cards are numbered 1, 2, 3, 4, and 5. The three yellow cards are numbered 1, 2, and 3. The cards are well shuffled. You randomly draw one card.
G = card drawn is green
Y = card drawn is yellow
E = card drawn is even-numbered
List:
Sample space = {G1, G2, G3, G4, G5, Y1, Y2, Y3}
2) P(G) = 5/8
3) P(G/E) = P(GE)/P(E)
GE = {G2, G4}
Hence P(G/E) = 2/5
4) GE = {G2, G4}
P(GE) = 2/8 = 1/4
5) P(G or E) = P(G)+P(E)-P(GE)
= 5/8 + 3/8-2/8 = 3/5
6) No there is common element as G2 and G4
Cannot be mutually exclusive
Let
the length and
the width. By the ratio of the sides:
Now, we'll find the perimeter p. We'll use the formula below:
The area of a rectangle is
. Then:
Answer:
Finding slope: y2-y1/x2-x1
3-9/1+2
=-6/2
Divide 2 from both
=-3/1 or -3
Slope= -3
Finding y-intercept= y=mx+b
Choose any point on the line to plug in the x and the y then plug in the slope.
I choose (1,3)
3=-3×1+b
3=-3+b
Add 3 to both sides
6=b
Y-intercept=6
Equation: y=-3x+6
Step-by-step explanation:
