Answer:
the anwser is -7.9
Step-by-step explanation:
An artist wants to frame a square painting with an area of 400 square inches.
(a) x is the length of one side of the painting
Area of the square formula is
side is x. so area becomes
We know Area is 400. so the equation becomes
(b) Solve the equation for x
(take square root on both sides)
When we take square root we put +-
+-20 = x
x = +20 in and x=-20in
So there are two solutions for the above equation.
(c)No. we know x is length of the side. the length cannot be negative .
So x=-20 inch is not valid
x=20 inches is our only solution.
(d)To find the length of the wood trim needed to go around the painting, we find the perimeter of the square
Perimeter = 4* side
= 4* x = 4* 20 = 80 inches
C=10 & P=5
3C+4P=50
C+P=15
Solve
3C+4P=50
3C+3P=45
Subtract
P=5
Substitute in equation 2
C+P=15
C+5=15
C=10
Answer:
The function is odd because it is symmetric about the origin.
Step-by-step explanation:
we know that
A function f(x) is even when
f(x)=f(-x) ----> the function is symmetry about the y-axis
A function is odd when
-f(x)=f(-x) ---> the function is symmetry about the origin
In this problem we have
f(x)=-5x
<em>Verify if the function is even</em>
For x=1 ----> f(1)=-5(1)=-5
For x=-1 ---> f(-1)=-5(-1)=5
so
f(x) is not equal to f(-x)
therefore The function is not even
<em>Verify if the function is odd</em>
we have
f(1)=-5
f(-1)=5
so
-f(1) is equal to f(-1)
-f(x)=f(-x)
therefore
The function is odd because it is symmetric about the origin.
In this question, we have to write the set of points from -6 to 3 but excluding -2 and 3 as a union of intervals .
For union, we use U.
For the points that we have to exclude , we put parenthesis on there side that is ().
Therefore the required interval form is
As we see that () are used with -2 and 3 . And that's the required interval form .