Answer:
8
Step-by-step explanation:
The fact that DE is perpendicular to AC means triangles AED and CED are congruent and side AD is equal in length to side CD.
5x -20 = 2x +4
3x = 24 . . . . . . . add 20-2x
x = 8 . . . . . . . . . .divide by 3
The value of x is 8.
Answer:
The profit of the company will be $224.85
Step-by-step explanation:
Let the equation of profit be termed as E(x)
we are given
amount of purchasing the policy (let a)= $1000
probability that women will live for at least 1 year (let b) = 0.9581
amount lost by insurance company if the women dies (let c) = 18,500-1000 = 17,500
the probability woman dies within one year (let d) = 1-0.9581=0.0419
the equation will be
E(x) of profit= a*b - c*d = 1000*0.9581 - 17500*0.0419
= 958.1 - 733.25
= 224.85
Explanation:
f(x) = (x-4)(x+2)
1) For x-intercept, y will be 0
<u />
<u>x-intercept</u>: (4, 0), (-2, 0)
2) For vertex: x = -b/2a where ax² + bx + c
<u>Quadratic function</u>:
<u>vertex</u>:
y: (x-4)(x+2) = (1-4)(1+2) = -9
ordered pair of vertex: (1, -9)
3) For y-intercept, x will be 0
<u>y-intercept</u>: (0, -8)
Answer: C 2x(x - 2) - x = 0
and <u>B</u> 2x² – 5x=0
Step-by-step explanation:
You get 2x(x - 2) - x = 0 by subtracting x from both sides of the original equation.
Then take 2x(x - 2) - x = 0 and distribute to get 2x² - 4x -x = 0
combine the x terma and you end up with 2x² – 5x=0
