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:
It's 14 pts total.
Step-by-step explanation:
He started out with 8. Then he answered 3 more questions that were 2 pts each. If you do 3x2, that would =6. Add 6 and 8, and you get 14!
Answer:
0.234523452345 as a fraction equals 234523452345/1000000000000
Step-by-step explanation:
To write 0.234523452345 as a fraction you have to write 0.234523452345 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.234523452345 = 0.234523452345/1 = 2.34523452345/10 = 23.4523452345/100 = 234.523452345/1000 = 2345.23452345/10000 = 23452.3452345/100000 = 234523.452345/1000000 = 2345234.52345/10000000 = 23452345.2345/100000000 = 234523452.345/1000000000 = 2345234523.45/10000000000 = 23452345234.5/100000000000 = 234523452345/1000000000000
Answer: Divide using synthetic division. If the remainder is 0, then x+2 is a factor.
x+2 is not a factor.
I put your question into a website, I don't know if that will help you but that's the best I can do, I don't even know the answer
I'm not really sure what you're asking, but if you want to calculate the first two terms of the sequence after a1, then here's the answer:
If a1=2, then a2 = -3(a1 - 1)^2 = -3(2-1)^2 = -3*(-1)^2 = -3*1 = -3.
Then, a3 = -3(a2 - 1)^2 = -3(-3-1)^2 = -3(-4)^2 = -3*16 = -48.
I'm sorry if this is not what you wanted.
