So, The value of p is -5/22
Step-by-step explanation:
4(3p+2)-5(6p-1)=2(p-8)-6(7p-4)
12p+8-30p+5=2p-16-42p+24
-18p+13=-40p+8
-18p+40p=8-13
22p. =-5
p. =-5/22
Answer:
2/3
Step-by-step explanation:
The first fraction has to have the LCD of 24 because its what is divisible by 4 and 12
The first fraction has to be multiplied by 6/6 to get to the denominator of 24
The second fraction has to be multiplied by 2/2 to get to the denominator of 24
The first fraction then becomes
6/24
And the second fraction becomes
10/24
The answer would be 16/24 which simplifies to 2/3
Hope I helped! <3
Choices A and B have typos in them, so its not clear what you're trying to say for those parts. However, the domain of 
is 
meaning that x can be 0 or larger. In other words, we can't have x be negative. Similarly, y is the same story because has the inverse 
, but only when , so therefore 
as well. In short you can say both x and y are nonnegative.
To summarize so far, the domain is and the range is
Since x = 0 and y = 0 are the smallest x and y values possible, this means (x,y) = (0,0) is the left-most point or where the graph starts. This is the origin. Choice C is a true statement.
Choice D on the other hand is <u>not</u> a true statement. Graph out and you'll see that a straight line does not form, but instead a nonlinear curve that grows forever. That growth gradually diminishes as x gets larger. Algebraically you can pick three points from the function and show that the slopes are different. Say the three points are P, Q and R. If you can show that slope of PQ does not equal slope of QR, then the function is not linear.
The answer should be 31
(10(3)+8)-(1(3)+4)
(30+8)-(3+4)
= 31
