Answer:
x>14
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
−4>−2x+24
Step 2: Flip the equation.
−2x+24<−4
Step 3: Subtract 24 from both sides.
−2x+24−24<−4−24
−2x<−28
Step 4: Divide both sides by -2.
−2x−2<−28−2
x>14
3/2x + 1/5 >= -1
3/2x >= - 6/5
x >= -12/15
x >= -4/5
-1/2x - 7/3 >= 5
-1/2x >= 22/3
x <= -44/3
Its D
9.125*x^2 is 100000 times greater than 9.125*10^(-3).
Note that (10^5)(9.125*10^(-3) = 9.125*10^2.
Answer:
(-4, 5)
Step-by-step explanation (work shown in attached picture):
1) Since x is already isolated in the first equation, substitute that value for x into the other equation to find y. So, substitute 16-4y for the x in 3x + 4y = 8, then solve for y. This gives us y = 5.
2) Now, substitute that given value for y back into any one of the equations to find x. I chose to do it in the first equation. Substitute 5 for the y in x = 16-4y, then solve for x this time. This gives us x = -4.
Since x = -4 and y = 5, the solution is (-4, 5).
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!!!
