Answer:
length of side of square = (4x - 5) inches
Step-by-step explanation:
We are given;
Area of square = 16x² – 40x + 25
Let's find the roots of this quadratic equation [-b ± √(b² - 4ac)]/2a
Thus;
x = [-(-40) ± √((-40)² - 4(16 × 25)]/(2×16)
x = [40 ± √(1600 - 1600)]/32
x = (40 ± 0)/32
x = 40/32
x = 5/4
Thus, the factors of the polynomial are;
(4x - 5)²
So,
Area = 16x² – 40x + 25 = (4x - 5)²
Since, the right hand side is (4x - 5)² and area of square is (length of side)², thus we can say that length of side of square is (4x - 5) inches
Answer:
y = .025x +20
The y intercept is the value when x = o, or the starting value. In this case, it is the temperature in degrees F at a depth of 0 meters.
Step-by-step explanation:
We have a point a (0,20) and a point at (2 , 20.05)
We can find the slope from
m = (y2-y1)/(x2-x1)
= (20.05-20)/(2-0)
= .05/2
=.025
One of the points (0,20) is the y intercept since x=0
We can use the slope intercept form of the equation
y= mx+b
y = .025x +20
The y intercept is the value when x = o, or the starting value. In this case, it is the temperature in degrees F at a depth of 0 meters.
Answer:
{2, -3, -3/2}
Step-by-step explanation:
hi! we can set each of the binomials equal to 0 to find the zeros of this polynomial.
x-2=0
x=2
x+3=0
x=-3
2x+3=0
2x=-3
x=-3/2
6 is the mode since it appears the most, 3 times
