Answer:
Step-by-step explanation:
Quiana has 5 times more text messages from Yolanda than from Pierre, we also know that she actually has 30 text messages from Yolanda. In other words, 30 texts from Yolanda is 5 times more text messages than from Pierre.
Thus, if we call p the number of texts messages from Pierre we would have that
(since 30 texts from Yolanda is 5 times more than p, we can divide by 5 to find p)
And if we solve this equation we would get that Quiana has 6 text messages from Pierre
Answer:
B
Step-by-step explanation:
We are given that <em>x</em> and <em>y</em> are functions of time <em>t</em> such that <em>x</em> and <em>y</em> is a constant. So, we can write the following equation:
The rate of change of <em>x</em> and the rate of change of <em>y</em> with respect to time <em>t</em> is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to <em>t: </em>
<em />![\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdt%7D%5CBig%5Bx%28t%29%2By%28t%29%5CBig%5D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Bk%5D)
<em />
Remember that the derivative of a constant is always 0. Therefore:
And by subtracting dy/dt from both sides, we acquire:
Hence, our answer is B.
Answer:
Positive
Step-by-step explanation:
Two positive integers multiplied will always be positive.
Answer:
x^4 -x^3 -4x^2-3
Step-by-step explanation:
f(x)=x^4−x^2+9
g(x)=x^3+3x^2+12
(f−g)(x)= x^4−x^2+9 - (x^3+3x^2+12)
Distribute the minus sign
(f−g)(x)= x^4−x^2+9 - x^3-3x^2-12
I like to line them up vertically
x^4 −x^2+9
- x^3 -3x^2-12
---------------------------
x^4 -x^3 -4x^2-3
<span>Let X be the number of success in n trials. X has the binomial distribution with n = 4 trials and success probability p = 0.1666667 .</span>
