Answer:
1) y=(-1/4)x+(11/4)
2) y=(4)x-33
3) y=(2/3)x-11/3
4) y=(5)x-2
5) y=(3)x-7
6) y=(-1/4)x+(6)
Step-by-step explanation:
1) y=mx+b 3=(-1/4)(-1)+b b= 11/4
2) y=mx+b -5=(4)(7)+b b= -33
3) y=mx+b -5=(2/3)(-2)+b b= -11/3
4) y=mx+b 3=(5)(1)+b b= -2
5) y=mx+b -1=(-3)(-2)+b b= -7
6) y=mx+b 7=(1/4)(4)+b b= 6
Answer:
x = ±
Step-by-step explanation:
We have been given the quadratic equation;
The first step is to subtract 50 from both sides of the equation;
Multiplying both sides by -1 yields;
The final step is to obtain square roots on both sides;
Therefore, x = ±
Answer:
x = -3, y =3
Step-by-step explanation:
y = -4/3x - 1
y = 1/3x + 4 -------> 4y = 4/3x + 16
Adding the first equation and the new second equation together:
5y = 15 ------> y = 3
Plug y = 3 into one of the original equations:
3 = 1/3x + 4
-1 = 1/3x
x = -3
Answer:
Proved,
P(A∪B)=0.72
Step-by-step explanation:
Sue travels by bus or walks when she visits the shops.
Probability( catch the bus to the shop ), P(A) = 0.4
Probability( catch the bus from the shop ), P(B) = 0.7
Both A and B are independent events.
Therefore,
P(A∩B) = 0.4×0.7
= 0.28
Probability Sue walks one way = 1 - P(A∩B)
= 1 - 0.28
= 0.72
Hence, the probability that Sue walks at one way is 0.72
