Answer:
-44
Step-by-step explanation:
If the input is -28, that means x = -28, so we plug -28 in for x and solve for y, which is the output:
y = x - 16
y = -28 - 16 = -44
The answer is thus -44.
Answer:
15 shirts.
Step-by-step explanation:
A 20% discount means you still pay 80% of the price.
x represents the number of shirts that can be bought.
(20 x (1-0.2) )x = 240 or (20 x .8)x = 240
16 x = 240
x = 240/16 = 15
Answer:
is parallel to 
Step-by-step explanation:
<h3>
The complete exercise is: "Is
parallel, perpendicular or neither to 
?
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The equation of the line in Slope-Intercept form is:

Where "m" is the slope of the line and "b" is the y-intercept.
First, in order to solve this exercise it is important to remember that, by definition:
1. The slopes of parallel lines are equal.
2. The slopes of perpendicular lines are negative reciprocal.
In this case, you have the following line given in the exercise:
You can identify that "m" and "b" are:

And the other line provided in the exercise is this one:

So, you can identify that:

As you can notice, the slopes of both lines are equal; therefore, you can conclude that those lines are parallel.
The local minimum of function is an argument x for which the first derivative of function g(x) is equal to zero, so:
g'(x)=0
g'(x)=(x^4-5x^2+4)'=4x^3-10x=0
x(4x^2-10)=0
x=0 or 4x^2-10=0
4x^2-10=0 /4
x^2-10/4=0
x^2-5/2=0
[x-sqrt(5/2)][x+sqrt(5/2)]=0
Now we have to check wchich argument gives the minimum value from x=0, x=sqrt(5/2) and x=-sqrt(5/2).
g(0)=4
g(sqrt(5/2))=25/4-5*5/2+4=4-25/4=-9/4
g(-sqrt(5/2))=-9/4
The answer is sqrt(5/2) and -sqrt(5/2).
Answer:
-1,2
Step-by-step explanation:
4-5=-1
3-1=2
y2-y1
x2-x1