(x/100-1)(x/100+1)=kx^2-1
(x/100-1)(x/100+1)=(x/100)^2 - 1^2 because it's a difference of squares ( (a-b)(a+b) = a^2-ab+ab-b^2 = a^2 - b^2):
(x/100)^2 - 1^2=kx^2 - 1
(x/100)^2 - 1=kx^2 - 1
(x/100)^2=kx^2
(x^2)/(100^2)=kx^2
1/(100^2)=k
1/10000=k
k=0.0001
Answer:
He lost 147.35 marks
Step-by-step explanation:
Take the total marks and subtract the marks he got to find the marks he lost
600-452.65= 147.35
Answer:
1. parental function is g(x)=√x
2. parental function is g(x)=3√x
Step-by-step explanation:
1. To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Parent Function: g(x)=√x
Horizontal Shift: None
Vertical Shift: Down 9 Units
Reflection about the x-axis: None
Vertical Stretch: Stretched
2. Parent Function: g(x)=3√x
Horizontal Shift: Left 5 Units
Vertical Shift: Up 3 Units
Reflection about the x-axis: Reflected
Vertical Compression: Compressed
Basically what you need to do is draw 4 congruent rectangles and 2 comgriemt squares (The six sides of a rectangular prism). The sum of the area of these six quadrilaterals should equal 96. This would be my thought process.
Step 1: Sketch a Rectangular Prism
Step 2: Make some educated guesses on some possible side measurements for the quadrilaterals that form the prism.
Step 3: Guess and Check until the amount equals 96.
So we can guess that the sides of the rectangle might equal 2 and 3 units.
This would be 6 for the area. Times 4 for each of the 4 Rectangles. (24) and add the area of the ends of the prism (2*2*2) which is 8 and you will get 32.
Since we are looking for a surface area of 96 and not 32, we can assume that a 3*2*2 prism is not what we need. So we can try again with other values.
Let's try 6*3*3. 6*3*4 for the four rectangles plus 3*3*2 for the ends.
