Answer: x can equal -3.2 or -7.4.
Step-by-step explanation:
The correct expression is:
2|x+5.3|=4.2
So, we have an absolute value equation, where it can be positive or negative:
2 (x+5.3)=4.2
2x+10.6 =4.2
2x=4.2-10.6
2x = -6.4
x= -6.4/2
x = -3.2
2[-(x+5.3)]=4.2
-2x-10.6 =4.2
-2x= 4.2+10.6
-2x= 14.8
x= 14.8/-2
x= -7.4
x can equal -3.2 or -7.4.
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1 coin is 4 ways
2 coins is 4*3 ways
3 coins is 4*3*2 ways
4 coins is 4*3*2*1 ways
so total is 4+12+24+24=64 sums
In the unit circle the hypotenuse of the triangle formed is equal to radius of circle , which = 1. The point on the circle formed by the intersection of the hypotenuse is (cos q , sin q) where q is the angle between the x axis and the hypotenuse. As the hypotenuse = 1 the opposite and adjacent sides of the triangle < 1 so sin and cos of q must both be <= 1.
Answer:
D) 4x + 2y ≤ 25 , x + y ≥ 8 is the required system of inequalities
to represent the given situation.
Step-by-step explanation:
Here, let the number of color copies = x
Now, the time taken to print each color copy = 4 minutes
⇒Time taken to print x color copies = x times ( Time taken by each copy)
= 4 (x) = 4x
and let the number gray scale copies = y
The time taken to print each gray scale copy = 2 minutes
⇒Time taken to print y gray scale copy = y times (Time taken by each copy)
= 2 (y) = 2y
Total copies printed = x + y
Maximum time taken to print x color copies and y grayscale copies
= 4x + 2y
So, according to the question:
4x + 2y ≤ 25 ( as maximum allotted time is 25 minutes)
and x + y ≥ 8 (as minimum number of copies is 8)
hence, the above system is the required system of inequalities to represent the given situation.
Answer:y=12
Step-by-step explanation:
