Answer:
x^3+6x^2+11x+12
Step-by-step explanation:
(x+4)(x^2+2x+3)
=x(x^2+2x+3)+4(x^2+2x+3) [by multiplying with bith sides]
=x^3+2x^2+3x+4x^2+8x+12
=x^3+2x^2+4x^2+3x+8x+12
=x^3+6x^2+11x+12
(please mark me brainliest)
Answer:
a. 81.5%
Step-by-step explanation:
The z-score for 400 is ...
Z = (X -μ)/σ = (400 -500)/100 = -1
The z-score for 700 is ...
Z = (700 -500)/100 = 2
The empirical rule tells you that 68% of the distribution is within ±1σ of the mean, and 95% is within ±2σ of the mean. Half of that first number is in the range Z = -1 to 0, and half that second number is in the range Z = 0 to +2. So, the probability you want is ...
(1/2)(68%) + (1/2)(95%) = 81.5% . . . . matches choice A
Slope intercept form is y = mx+ b
So in order to turn 5y-3x + 20 = 0 into Slope intercept form, all we need to do is solve for y!
Let's do it!
- add 3x to the right side of the equation
<u>5y - 3x + 20 = 0</u>
<u>5y + 20 = 3x </u>
- move 20 to the right side
<u>5y = 3x - 20 </u>
- Divide both sides of the equation by 5
y = 3/5x - 4
This is our answer!
I hope I helped! Leave a comment if you have any questions or concerns
If you evaluate directly this function at x=0, you'll see that you have a zero denominator.
Nevertheless, the only way for a fraction to equal zero is to have a zero numerator, i.e.
So, this function can't have zeroes, because the only point that would annihilate the numerator would annihilate the denominator as well.
Moreover, we have
So, we can't even extend with continuity this function in such a way that 
