When a figure is dilated, this means the corresponding sides of the shape is enlarged in a uniform multiple. In thsi case, the ratio of the sides remains the same. Thus, when ratio of the sides remains the same, the corresponding angles are also congruent in the dilated figure.
<span>0+3⋅c>250</span>
<span>50+3⋅c−50>250−50</span>
<span>3⋅c>200</span>
<span><span><span>3⋅c</span>3</span>><span>2003</span></span>
<span>c><span>66.7</span></span>
<span><span>so 67 sales rouned</span></span>
Answer: Independent because they have no outcomes in common
Step-by-step explanation:
The reason for this answer is because the event A is the first roll
And then you roll a 4 independently, they both do not control each other making it B because the outcomes can be totally different
X^2 + 8x + 7 = 0
x^2 + 7x + x + 7 = 0
x(x + 7) + 1(x + 7) = 0
(x + 7) (x + 1) = 0
x = -7 or x = -1
Functions 6 and 7 are linear, 8 is not. This means 6 and 7 have a degree of 1. Since 8 is a quadratic, it has a degree of 2.
The slope is 1 for function 6 and 5 for function 7. Remember, in slope-intercept format, linear equations are written as y=mx+b. X and Y stand for coordinates you can plug in, m represents the slope of the line, and b represents the y-coordinate of the function’s y-intercept. I assume you are familiar with these terms so I won’t explain them.
Number 9 is linear, and you can tell because f(x), which is the output, increases with a constant difference as x increases by 1. In other words, the delta y and delta x is the same between all points.
Number 10 is clearly not linear, because two different x values have the same y value. This is a parabola.
I recommend you graph some of these functions for practice, so you can visualize it better. Imagine the functions as machines. You input a number (x) and you get a number out (y).
For example, in the function f(x)=3x+5, I can input any x, let’s take x as 6, and when I plug it in, I’ll get an output, f(x). 3(6)+5=18+5=23. So my f(x)=23 when x is 6.
