Step-by-step answer:
Given:
two inequalities:
4-x <= -1 ........................(1)
2+3x >= 17......................(2)
Required: find the solution of the intersection of inequalities.
Solution:
Solution to (1):
4-x <= -1 transpose
4+1 <=x simplify
5 <= x rewrite
x >= 5
Solution to (2)
2+3x >= 17
3x >= 17-2
3x >= 15
x >= 5
The intersection of the two solutions x>=5 and x>=5 is therefore x>=5
Check:
x=4, => 4-4 = 0 >1 so not a solution
x=4, => 2+3(4) = 14 < 17 so not a solution
x=5, => 4-5 = -1 so a solution
x=5, => 2+3(5) = 17, so a solution.
similarly for 6, 7, ....
Answer:
64 degrees
Step-by-step explanation:
since x is corresponding to 64, they are congruent.
Answer:
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
(9, 4)
(5, -3)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract:
- Simplify:
Well, the definition of absolute value is distance from zero, so we're making a graph.
Make a number line where 0 is in the center. You know that the distance from 0 is 6, so put x-2 at the -6 and the 6 points. Now add two to both of those, and now graph on the -4 point "x₁", and on the 8 point "x₂". Put down x₁ = -4 and x₂ = 8 (the normal way, not on the graph) next to it, and you'll be done.
