The price y is a function of x, the speed of the processor.
In function notation this means, y=f(x), where f(x)=<span>101x + 207.85.
</span>
For example to calculate the (approximate) price of a laptop with processor 4 gigahertz, we let x=4, and plug in f.
That is the price y for x=4 is calculated by y=f(4).
So, since y=f(x)=<span>101x + 207.85, the (expected) price of a laptop with processor speed 2.5 gigahertz is :
y=f(2.5)=101(2.5)+207.85= 460.35 ($)
Answer:
</span>C. $460
For a square all 4 sides are equal so divide by 4.
Don't forget your units 28 inches
Answer:
105°
Step-by-step explanation:
Measure of the third angle
= 180° - 18° - 57° (angle sum of triangle)
= 105°
Let A( t , f( t ) ) be the point(s) at which the graph of the function has a horizontal tangent => f ' ( t ) = 0.
But, f ' ( x ) = [ ( x^2 ) ' * ( x - 1 ) - ( x^2 ) * ( x - 1 )' ] / ( x - 1 )^2 =>
f ' ( x ) = [ 2x( x - 1 ) - ( x^2 ) * 1 ] / ( x - 1 )^2 => f ' ( x ) = ( x^2 - 2x ) / ( x - 1 )^2;
f ' ( t ) = 0 <=> t^2 - 2t = 0 <=> t * ( t - 2 ) = 0 <=> t = 0 or t = 2 => f ( 0 ) = 0; f ( 2 ) = 4 => A 1 ( 0 , 0 ) and A 2 ( 2 , 4 ).
Answer:
144 units²
Step-by-step explanation:
The net of the right triangular prism consists of 3 rectangles and 2 equal triangles
Let's solve for the area of each:
✔️Area of rectangle 1 = L*W
L = 11
W = 3
Area of rectangle 1 = 11*3 = 33 units²
✔️Area of rectangle 2 = L*W
L = 11
W = 4
Area of rectangle 2 = 11*4 = 44 units²
✔️Area of rectangle 3 = L*W
L = 11
W = 5
Area of rectangle 3 = 11*5 = 55 units²
✔️Area of the two triangles = 2(½*base*height)
base = 4
height = 3
Area of the two traingles = 2(½*4*3)
= 12 units²
✔️Surface area of the right triangle = area of rectangle 1 + area of rectangle 2 + area of rectangle 3 + area of the two triangles
= 33 + 44 + 55 + 12
= 144 units²
