Answer:
Let f(x) = x^3 -6x^2 +11x-8+K
by factor theorem, f(3)=0
27-54+33-8+K=0
K=2
hope that helps?
Step-by-step explanation:
Answer:
y = 3x - 5
Step-by-step explanation:
Slope Formula: 
Slope-Intercept Form: y = mx + b
Step 1: Find slope
m = (-2 - 1)/(1 - 2)
m = 3
Step 2: Find <em>b</em>
y = 3x + b
-2 = 3(1) + b
-2 = 3 + b
b = -5
Step 3: Rewrite linear equation
y = 3x - 5
Step 4: Graph using graphing calc
Answer:
8x² - 6x + 1 = 0
Step-by-step explanation:
Quadratic:
x² - (sum)x + product = 0
x² - ¾x + ⅛ = 0
To avoid fractions, multiply by 8
8x² - 6x + 1 = 0
x = ½ and ¼
Answer:
She needs 50 ft² of wood to cover the table
Step-by-step explanation:
You need to know the formula for area of a trapezoid, which is
A = (B1 + B2)h/s (add the bases together, multiply by the height, then divide
by 2)
We are given B1 = 12, B2 = 8, and h = 5, so plug them in and simplify
A = (12 + 8)(5)/2
A = (20)(5)/2
A = 100/2
A = 50 ft²
Well perimeter can be found with the equation P = 2w + 2l where p is perimeter, l is length and w is width. Substitute 18 in for l and 68 for p:
2w + 2(18) = 68
D. 2w + 36 = 68 is the equation.
