−4x+18>2x+12
−4x+18−18>2x+12−18
−4x−2x>2x−6−2x
−6x>−6
Multiply both sides by −1 and reverse the inequality
(−6x)(−1)<(−6)(−1)
6x<6
x<1
In interval notation (-∞, 1)
<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
A function has an inverse function if and only if passes the Horizontal Line Test for Inverse Functions. This test tells us that a function 
has an inverse function if and only if there is no any horizontal line that intersects the graph of at more than one point. So the function is called one-to-one. The graph of 
is shown below. As you can see, this function does not pass the Horizontal Line Test, therefore the inverse is not a function. However, let's find 
:
Finally, substitute 
:
Answer:
E = 56
Step-by-step explanation:
Given that E varies directly with 
then the equation relating them is
E = k ← k is the constant of variation
To find k use the condition E = 40 when C = 25
k = 
= 
= 
= 8, thus
E = 8 ← equation of variation
When C = 49, then
E = 8 × 
= 8 × 7 = 56
3/7x + 4 = -1/2
subtract 4 from both sides
3/7x= -1/2 - 4
3/7x= -4 1/2
divide both sides by 3/7
x= -4 1/2 ÷ 3/7
convert -4 1/2 to improper fraction
x= (-4*1+1)/2 ÷ 3/7
x= -9/2 ÷ 3/7
multiply by reciprocal of 3/7
x= -9/2 * 7/3
multiply numerators & denominators
x= (-9*7)/(2*3)
x= -63/6
x= -10 3/6
simplify 3/6 by 3
x= -10 1/2
CHECK:
3/7x + 4 = -1/2
3/7(-63/6) + 4= -1/2
(3*-63)/(7*6) + 4= -1/2
-189/42 + 4= -1/2
-4 1/2 + 4= -1/2
-1/2= -1/2
ANSWER: x= -63/6 or -10 1/2
Hope this helps! :)
