Answer:x<-18
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
-1/2x+3>12
Step 2: Subtract 3 from both sides.
-1/2x+3-3>12-3
-1/2x>9
Step 3: Multiply both sides by 2/(-1).
(2/-1)*(-1/2x)>(2/-1x)*(-1/2x)
X<-18
:D
If it has been marked up 40% then you now have 140%. To find 140% of $63 you need to multiply 63 by 1.4 to give $88.20. So the mark up is $25.20
We can use substitution to solve this equation in here y=6 and x=0 .
Hope this help you !
Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k
parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t
Step-by-step explanation: The vector equation is a line of the form:
r =
+ t.v
where
is the position vector;
v is the vector;
For point (7,4,5):
= 7i + 4j + 5k
Then, the equation is:
r = 7i + 4j + 5k + t(3i + 2j - k)
<u><em>r = (7 + 3t)</em></u><u><em>i</em></u><u><em> + (4 + 2t)</em></u><u><em>j </em></u><u><em>+ (5 - 5t)</em></u><u><em>k</em></u>
The parametric equations of the line are of the form:
x =
+ at
y =
+ bt
z =
+ ct
So, the parametric equations are:
<em><u>x = 7 + 3t</u></em>
<em><u>y = 4 + 2t</u></em>
<em><u>z = 5 - 5t</u></em>
Hopefully you are able to clearly see the steps I have taken toward solving this problem in the attachment. In case you have trouble understanding what a reciprocal is, the reciprocal of a number is simply the number flipped. So, if you are given 1/2 and asked what the reciprocal is, it would be 2/1, or just 2. That being said, if you are given a whole number, simply remember that a whole number is ALWAYS equal to itself over one. So, in this case, the "sum of a number and its reciprocal" would be n +
1/n