Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
- 6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
- 12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
<u>Slopes equal:</u>
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
<u>y-intercepts equal:</u>
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
Answer:
3 laps.
Step-by-step explanation:
Hi! I can see how this is tricky, but I was a bit confused by the 4 in "If she runs 4." It says in the problem that the track is a mile long... So if you run the track 3 times, 3 x 1 = 3.
(2+m)si thats wat i got, hope its right
Answer:Let's solve your equation step-by-step.
24=x2−4x+3
Step 1: Subtract x^2-4x+3 from both sides.
24−(x2−4x+3)=x2−4x+3−(x2−4x+3)
−x2+4x+21=0
Step 2: Factor left side of equation.
(−x−3)(x−7)=0
Step 3: Set factors equal to 0.
−x−3=0 or x−7=0
x=−3 or x=7
Answer:
x=−3 or x=7
Step-by-step explanation:
Answer:
A red 5 is chosen from the deck. The card is put back into the deck and the a red card is chosen.
Step-by-step explanation:
An independent event is one whose outcome is not dependent on any other event. There are two types of cards in the deck. If a red card is selected it will be from the series 1 - 20, if the card is put back into deck and then again a red card is selected it will be again from the series 1 - 20. This is an independent event since its outcome is same irrespective of the events.