X = all real numbers such that x < 0
This is true because if it yields a positive response, the only way that could be is by multiplying a negative by a negative.
Answer: 35
x^2 - 67x -22
Use the FOIL method FOIL stands for First, Outer, Inner, Last.
Answer:
Irrational numbers
Real numbers
Step-by-step explanation:
Answer:
4x³
Step-by-step explanation:
d/dx ln(x⁴ + 7) = 1/(x⁴ + 7) × _?
To obtain the missing expression, let us simplify d/dx ln(x⁴ + 7). This can be obtained as follow:
Let y = ln (x⁴ + 7)
Let u = (x⁴ + 7)
Therefore,
ln(x⁴ + 7) = ln u
Thus,
y = ln u
dy/du = 1/u
Next, we shall determine du/dx. This is illustrated below:
u = (x⁴ + 7)
du/dx = 4x³
Finally, we shall determine dy/dx of ln (x⁴ + 7) as follow:
dy/dx = dy/du × du/dx
dy/du = 1/u
du/dx = 4x³
dy/dx = 1/u × 4x³
But:
u = (x⁴ + 7)
Therefore,
dy/dx = 1/(x⁴ + 7) × 4x³
Thus, the missing expression is 4x³
Answer:
<h2>x = 28</h2>
Step-by-step explanation:
ΔARP and ΔCRD are similar. Therefore the sides are in proportion:
We have:
AR = 10 + x
CR = x
PR = 15 + 42 = 57
DR = 42
Substitute:
<em>cross multiply</em>
<em>use distributive property</em>
<em>subtract 42x from both sides</em>
<em>divide both sides by 15</em>