Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.
Answer:
Step-by-step explanation:
This is a separable equation. First divide both sides by y:
Integrate both sides:
Solve for y taking exp to both sides:
Where is an arbitrary constant
Evaluating the initial condition:
Finally, replacing in the differential equation solution:
= 3x + 9x = 6x + 42
= 3x + 9x - 6x = 42 ( transposing +6x from LHS to RHS changes +6x to -6x )
= 12x - 6x = 42
= 6x = 42
= x = 42 ÷ 6 ( transposing ×6 from LHS to RHS changes ×6 to ÷6 )
= x = 7
Let us check whether we have found out the correct value of x or not by placing 7 in the place of x :
= ( 3 × 7 ) + ( 9 × 7 ) = 6 × 7 + 42
= 21 + 63 = 42 + 42
= 84 = 84
= LHS = RHS
Hence proved we have derived the correct value of x .
Therefore , the value of x = 7 .
Answer:
1. 2
2. 30
Step-by-step explanation:
1. The weird circle looking thing essentially means you're putting p(x) inside of q(x). This means you take the x in q(x) and replacing with the entire p(x)
so q(x) = -3x - 4
(q °p)(x) = -3 (-2x+4) -4 sorry I can't find the actual circle thing symbol
now distribute to get the simplified equation:
= 6x -12 -4
= 6x - 16
because you're doing (q - p )(3), you would plug 3 for x into the new equation
6(3) - 16 = 2
and thats you're answer for the first one
for the second one its the other way around, so you're putting all of q(x) into p(x)
take p(x) : -2x+4
and now replace the x with the entire q(x)
so (p - q)(x) = -2 (-3x-4) +4
simplify: = 6x+8+4 = 6x+12
so now since we're doing (p-q)(3), we need to plug in 3 for x in the new equation
= 6(3)+12 = 30
lmk if those were wrong or if my explanation was unclear, there's another way I can explain it even though its the same process :)
Answer:
500000000
Step-by-step explanation:
Because you have to do those and then after you divided it took those zeros and made them longer since they are already positive.