Answer:
You are correct
Step-by-step explanation:
x - 8 < 23
<em>Add 8 to both sides</em>
x - 8 + 8 < 23 + 8
<em>Simplify</em>
x < 31
Yes, you are correct.
Answer:
-1
Step-by-step explanation:
We can find the slope by change in y of change in x
change in y
---------------------
change in x
The y changes -3 ( goes down 3)
the x changes +3 ( to the right 3)
-3
----
3
This simplifies to -1
Answer:
Find the slope of the line that passes through the points given in the table. The slope is 5.
Use one of the given points to find the y-intercept. Substitute values for x, y, and m into the equation y = mx + b and solve for b. The y-intercept is 1.
Write the formula as a function of n in slope-intercept form. The function is
f(n) = 5n+1 for n in the set of natural numbers.
Answer:
∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c.
Step-by-step explanation:
In order to solve this question, it is important to notice that the derivative of the expression (1 + sin(x)) is present in the numerator, which is cos(x). This means that the question can be solved using the u-substitution method.
Let u = 1 + sin(x).
This means du/dx = cos(x). This implies dx = du/cos(x).
Substitute u = 1 + sin(x) and dx = du/cos(x) in the integral.
∫((cos(x)*dx)/(√(1+sin(x)))) = ∫((cos(x)*du)/(cos(x)*√(u))) = ∫((du)/(√(u)))
= ∫(u^(-1/2) * du). Integrating:
(u^(-1/2+1))/(-1/2+1) + c = (u^(1/2))/(1/2) + c = 2u^(1/2) + c = 2√u + c.
Put u = 1 + sin(x). Therefore, 2√(1 + sin(x)) + c. Therefore:
∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c!!!
