Answer:
<em>5 ≤ 4x - 2.5</em>
Step-by-step explanation:
<u>Inequalities</u>
The expression "no greater than" can be better expressed as "less or equal than".
The expression 4 times a number, being x the unknown number can be written: 4x
Thus, the equivalent inequality of the sentence is:
5 ≤ 4x - 2.5
Answer:
no solution
Step-by-step explanation:
If first equation is divided by 2 and the second equation is divided by 3, we get two equations 2x+y=3 and 2x+y= 4. These two lines are parallel and there cannot be any solution to the system
Answer:
You have the right answer
Step-by-step explanation
Answer:
20.14
Step-by-step explanation:
21.15 - 5%(1.01) = 20.14
ΔAOB is a right angled triangle. Therefore the Pythagorean Theorem applies in this situation.
θ is the angle from a standard position of the line OA
The length of the y component is √(1-0)2 +(-3-(-3))2] =√(12+ 02) = 1 A(-3,1) to B(-3,0) which is opposite
Then the length of the x-component is √[(-3-0)2 +(0-0)2] = √(9+0)= 3 B(-3,0) to O(0,0) which is adjacent
The length of vector OA is √[(-3-0)2 + (1-0)2] = √(9+1) = √(10) A(-3,1) to O(0,0) which is the hypotenuse of the triangle
θ = 180 - α
sinθ = sin(180-α) = opposite/hypotenuse = 1/√10
cosθ = adjacent/hypotenuse = -3/√10
tanθ = opposite/adjacent = 1/-3 = -1/3
α= arcsin(1/√10) ≈ 18
θ =180 -18 ≈162
