Answer:
even
Step-by-step explanation:
An even function is symmetrical about the y- axis.
The graph of the function given is symmetrical about the t- axis and is therefore even.
Answer:
225600
Step-by-step explanation:
Simple interest formula:
A = P(1 + rt)
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
So...
A = 600(1 +(75 x 5) )
75 x 5 = 375
1 + 375 = 376
600 x 376 = 225600
A = 225600
Answer:
(0,-4) (5,0)
Step-by-step explanation:
4x-5y=20
First, we must put the equation into slope intercept form: y= mx+b
5y=4x-20=y=4/5x-4
The y intercept, by definition, is b. In this scenario, b is -4.
One ordered pair that works is (0,-4).
Also, we can find the ordered pair for the x intercept. By definition, the x intercept is the value of x when y equals zero. hence, we substitute 0 for y and then we can find an ordered pair that works and solve for x!:
- 0=4/5(x)-4= 4=4/5x
- 4x=20
- x=5
Therefore, (5,0) works as well!
Answer:
When we are trying to square a number say x, to x²,then we multiply the number x with number of powers
here since it is x² we multiply x × x
if it is x³,then x × x × x
Answer:
x=4 Inch
Step-by-step explanation:
Length of the Square = 24 Inches
If a Square of Length x cm is cut out from each corner
Length of the Box = 24-x-x=(24-2x) Inches
Width of the Box =24-x-x=(24-2x) Inches
Height of the box = x inches
Volume of a Cuboid = Length X Width X Height
V(x)= x(24-2x)(24-2x)
Simplifying
V(x)=4x(12-x)(12-x)
To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.
V(x)=4x(12-x)(12-x)
Set the derivative equal to zero to obtain the critical points
x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.
When x=4
V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches
When x=4 Inch, the volume, V of the open box is largest.
