C) x<8 and x>10
c) all real Numbers (multiply the -2 to the parenthesis and you get the same equation on both sides which means all real numbers)
C) x is greater than or equal to -3 (solid circle with the line towards positive.)
A) 24 ( distribute then subtract p from both sides)
B) d-12

51; d

63
Answer:
x = -3
Step-by-step explanation:
6x - 9 = -27 (Given)
6x = -18 (Add 9 on both sides.)
x = -3 (Divide 6 on both sides.)
Consider the contrapositive of the statement you want to prove.
The contrapositive of the logical statement
<em>p</em> ⇒ <em>q</em>
is
¬<em>q</em> ⇒ ¬<em>p</em>
In this case, the contrapositive claims that
"If there are no scalars <em>α</em> and <em>β</em> such that <em>c</em> = <em>α</em><em>a</em> + <em>β</em><em>b</em>, then <em>a₁b₂</em> - <em>a₂b₁</em> = 0."
The first equation is captured by a system of linear equations,

or in matrix form,

If this system has no solution, then the coefficient matrix on the right side must be singular and its determinant would be

and this is what we wanted to prove. QED
When an spherical balloon volume is increasing at the rate of
then the diameter of the balloon is increasing 
How can we find the rate of change of balloon's diameter ?
The volume of a spherical balloon is 
In form of diameter we can write as

Now we will differentiate both sides wrt to
we get

Given in the question 
thus when we substitute the values we get

Learn more about the differentiation here:
brainly.com/question/28046488
#SPJ4
Answer:
t=0 or t=-1/2
Step-by-step explanation:
Solve for t over the real numbers:
t (2 t + 1) = 0
Split into two equations:
t = 0 or 2 t + 1 = 0
Subtract 1 from both sides:
t = 0 or 2 t = -1
Divide both sides by 2:
Answer: |
| t = 0 or t = -1/2