10.
Factor the following:
8 x^2 - 2 x - 10
Factor 2 out of 8 x^2 - 2 x - 10:
2 (4 x^2 - x - 5)
Factor the quadratic 4 x^2 - x - 5. The coefficient of x^2 is 4 and the constant term is -5. The product of 4 and -5 is -20. The factors of -20 which sum to -1 are 4 and -5. So 4 x^2 - x - 5 = 4 x^2 - 5 x + 4 x - 5 = 4 x (x + 1) - 5 (x + 1):
2 4 x (x + 1) - 5 (x + 1)
Factor x + 1 from 4 x (x + 1) - 5 (x + 1):
Answer: 2 (x + 1) (4 x - 5)
_____________________________________________
13.
Factor the following:
16 x^2 - 24 x + 8
Factor 8 out of 16 x^2 - 24 x + 8:
8 (2 x^2 - 3 x + 1)
Factor the quadratic 2 x^2 - 3 x + 1. The coefficient of x^2 is 2 and the constant term is 1. The product of 2 and 1 is 2. The factors of 2 which sum to -3 are -1 and -2. So 2 x^2 - 3 x + 1 = 2 x^2 - 2 x - x + 1 = -(2 x - 1) + x (2 x - 1):
8 x (2 x - 1) - (2 x - 1)
Factor 2 x - 1 from x (2 x - 1) - (2 x - 1):
Answer: 8 (2 x - 1) (x - 1)
Answer:
Y decreased by 23
Step-by-step explanation:
Subtract the y values:
-19 - 4 = -23
Y decreased by 23
Answer:
352.8 ft
Step-by-step explanation:
m∠A = 180° − 102.9° − 18.6° = 58.5°
AB = c and BC = a.
Use law of sines:
c / sin C = a / sin A
c / sin 18.6° = 943 / sin 58.5°
c = 352.8
Answer:
B.
linear function
linear term: -2x
constant term: –2
Step-by-step explanation:
Find the degree of the equation to determine if linear.
Linear
Find the constant of variation.
y
doesn't vary directly with
x
Hello,
Multiplying (x-1) by (4x+2) the term in x² is x*4x=4x².
If we substract 4x² the term of y in x² will be 0.
The function is not quadratic.
Since 4x*(-1)+2*x=-2x (product of terms in x) : the function is thus linear.
Constant term is -1*2=-2
f(x) = (3x+2)(-6x-3) Use the FOIL method to multiply out the factors: f(x) = -18x2 - 9x - 12x -6 Combine like terms: f(x) = -18x2 -21x - 6
The function is quadratic ax^2+bx+c. ax^2=quadratic.
bx=linear.
c=constant.
using the ratio, the length of the sides are:
25x + 14x + 12x = 170
51x = 170
x = 170 / 51
x = 3 1/3
The lengths of the sides are: 25 * 3 1/3 = 83 1/3 feet
14 x 3 1/3 = 46 2/3 feet
12 x 3 1/3 = 40 feet
Using Heron's formula
the semi perimeter (S) = 170/2 = 85 ft.
The area of the triangle = SQRT(S*(S-83 1/3) * (S - 46 2/3) * (S-40))
= SQRT (85 * (85-83 1/3) * (85 - 46 2/3) * (85-40)
= SQRT (85 * 1 2/3 * 38 1/3 * 45)
= SQRT(244374)
= 494.34 square feet ( round answer as needed).
