Answer:
A
Step-by-step explanation:
Because if you simplify you get that
When (-5, 2) is reflected across the y-axis then it becomes (5, 2). When (-5, 2) is reflected across the x-axis, it becomes (-5, -2)
I hope this helps out!
Answer:
![\pm11,\pm1,\pm\frac{11}{5},\pm\frac{1}{5}](https://tex.z-dn.net/?f=%5Cpm11%2C%5Cpm1%2C%5Cpm%5Cfrac%7B11%7D%7B5%7D%2C%5Cpm%5Cfrac%7B1%7D%7B5%7D)
Step-by-step explanation:
The given polynomial function is
![f(x)=5x^3-7x+11](https://tex.z-dn.net/?f=f%28x%29%3D5x%5E3-7x%2B11)
According to the Rational Roots Theorem, the ratio of all factors of the constant term expressed over the factors of the leading coefficient.
The potential rational roots are
![\pm\frac{11}{1}=\pm11](https://tex.z-dn.net/?f=%5Cpm%5Cfrac%7B11%7D%7B1%7D%3D%5Cpm11)
![\pm\frac{1}{1}=\pm1](https://tex.z-dn.net/?f=%5Cpm%5Cfrac%7B1%7D%7B1%7D%3D%5Cpm1)
![\pm\frac{11}{5}](https://tex.z-dn.net/?f=%5Cpm%5Cfrac%7B11%7D%7B5%7D)
![\pm\frac{1}{5}](https://tex.z-dn.net/?f=%5Cpm%5Cfrac%7B1%7D%7B5%7D)
A discrete variable is a variable which may take only certain discrete values; for example the number of people in a household is a discrete variable which may have the value 1, 2, 3, etc. but cannot have intermediate values such as 1.473 or 3.732.
Choice d) can be represented by a discrete probability distribution, the other choices cannot be so represented.
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
initial value of 3, namely when x = 0, y = 3, so we have the point (0 , 3) and it has a rate or slope of 3/4.
![(\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{\cfrac{3}{4}}(x-\stackrel{x_1}{0})\implies y=\cfrac{3}{4}x+3](https://tex.z-dn.net/?f=%28%5Cstackrel%7Bx_1%7D%7B0%7D~%2C~%5Cstackrel%7By_1%7D%7B3%7D%29%5Cqquad%20%5Cqquad%20%5Cstackrel%7Bslope%7D%7Bm%7D%5Cimplies%20%5Ccfrac%7B3%7D%7B4%7D%20%5C%5C%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%5Cimplies%20y-%5Cstackrel%7By_1%7D%7B3%7D%3D%5Cstackrel%7Bm%7D%7B%5Ccfrac%7B3%7D%7B4%7D%7D%28x-%5Cstackrel%7Bx_1%7D%7B0%7D%29%5Cimplies%20y%3D%5Ccfrac%7B3%7D%7B4%7Dx%2B3)