Answer:
37 and 38.
Step-by-step explanation:
Let the smaller integer be x.
Thus, the larger integer is (x+1) since it is consecutive.
Subtract both sides by 1:
Divide both sides by 2:
To find the other number, simply add 1 to 37 to get 38.
Answer:
-1
Step-by-step explanation:
so firstly we solve by integrating by parts.
lnX × X - the integral of x/x
so the integral is Xln(X) - X
so the value should converge at -1
Answer:
or approximately (0.544, 4.179)
Step-by-step explanation:
A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):
Set 
equal to 8/7 and solve for x:
Therefore, 
will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into to get the y-coordinate:
⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)
Let x be equal to the number of drinks Yasmine consumed.
Jose had 2 times that drink so his number of consumed drink would be represented by 2x.
Sally had 3 fewer drink than Jose so her number of consumed drinks would be represented by 2x-3.
Altogether, the three of them consumed 72 drinks so your equation would be:
x+2x+(2x-3)=72
add like terms together:
5x-3=72
have the term with x be alone on one side of the equation, in this case by adding three to both sides:
5x=75
now divide both sides by five for the value of x and your answer is.....
x=15
