Answer:
d. a_n = 6n - 4.
Step-by-step explanation:
The common difference (d) is 8-2 = 14-8 = 20-14 = 26-20 = 6.
This is an Arithmetic Sequence with the first term (a1) is 2.
The general form of the explicit formula is a_n = a1 + d(n - 1) so this sequence has the formula:
a_n = 2 + 6(n - 1)
a_n = 2 + 6n - 6
a_n = 6n - 4.
Answer:
y-1 = 5(x+8)
Step-by-step explanation:
The standard equation of a line in point slope form is expressed as;
y-y0 = m(x-x0)
m is the slope
(x0, y0) is the point
Given
Slope m = 5 (assumed value)
Point (-8,1)
Substitute the given data's into the formula
y -1 = 5(x-(-8))
y-1 = 5(x+8)
Hence the required equation is y-1 = 5(x+8)
Answer:
Regular Polygon
Step-by-step explanation:
This is because:
<em>Convex</em> is when no angles can be over 180 degrees, meaning all points point outward
<em>Irregular</em> means that its interior angles and sides can be any measure
<em>Concave </em>is when at least one interior angle is over 180 degrees
Regular is all side measurements and angle measurements are the same
Answer:
![P(White\ and\ Purple) = 2.52\%](https://tex.z-dn.net/?f=P%28White%5C%20and%5C%20Purple%29%20%3D%202.52%5C%25)
Step-by-step explanation:
Given
![White = 14](https://tex.z-dn.net/?f=White%20%3D%2014)
![Black = 8](https://tex.z-dn.net/?f=Black%20%3D%208)
Required
Probability of first selecting white and then selecting purple
The total boxes is:
![Total = 18+34+14+26+8](https://tex.z-dn.net/?f=Total%20%3D%2018%2B34%2B14%2B26%2B8)
![Total = 100](https://tex.z-dn.net/?f=Total%20%3D%20100)
The probability is represented as:
![P(White\ and\ Purple)](https://tex.z-dn.net/?f=P%28White%5C%20and%5C%20Purple%29)
And the solution is:
![P(White\ and\ Purple) = P(White) * P(Purple)](https://tex.z-dn.net/?f=P%28White%5C%20and%5C%20Purple%29%20%3D%20P%28White%29%20%2A%20P%28Purple%29)
![P(White\ and\ Purple) = \frac{n(White)}{Total} * \frac{n(Purple)}{Total}](https://tex.z-dn.net/?f=P%28White%5C%20and%5C%20Purple%29%20%3D%20%5Cfrac%7Bn%28White%29%7D%7BTotal%7D%20%2A%20%5Cfrac%7Bn%28Purple%29%7D%7BTotal%7D)
![P(White\ and\ Purple) = \frac{14}{100} * \frac{18}{100}](https://tex.z-dn.net/?f=P%28White%5C%20and%5C%20Purple%29%20%3D%20%5Cfrac%7B14%7D%7B100%7D%20%2A%20%5Cfrac%7B18%7D%7B100%7D)
![P(White\ and\ Purple) = \frac{14*18}{100*100}](https://tex.z-dn.net/?f=P%28White%5C%20and%5C%20Purple%29%20%3D%20%5Cfrac%7B14%2A18%7D%7B100%2A100%7D)
![P(White\ and\ Purple) = \frac{252}{10000}](https://tex.z-dn.net/?f=P%28White%5C%20and%5C%20Purple%29%20%3D%20%5Cfrac%7B252%7D%7B10000%7D)
![P(White\ and\ Purple) = 0.0252](https://tex.z-dn.net/?f=P%28White%5C%20and%5C%20Purple%29%20%3D%200.0252)
or
![P(White\ and\ Purple) = 2.52\%](https://tex.z-dn.net/?f=P%28White%5C%20and%5C%20Purple%29%20%3D%202.52%5C%25)
Answer:
NO. Emma is not correct.
Step-by-step explanation:
✔️Initial value for Function A:
The initial value is the y-intercept of the graph. The y-intercept is the point at which the line intercepts the y-axis. From the graph given, the line intercepts the y-axis, at y = 2, when x = 0.
Initial value for Function A is therefore = 2
✔️Initial Value of Function B:
To find the initial value/y-intercept for Function B, do the following:
Using two pairs of values form the table, (2, 2) and (4, 3), find the slope:
Slope (m) = ∆y/∆x = (3 - 2) / (4 - 2) = 1/2
Slope (m) = ½
Next, substitute (x, y) = (2, 2) and m = ½ into y = mx + b, to find the intial value/y-intercept (b).
Thus:
2 = ½(2) + b
2 = 1 + b
2 - 1 = b
1 = b
b = 1
The initial value for Function B = 1
✅The initial value for Function A (2) is not the same as the initial value for Function B (1). Therefore, Emma is NOT CORRECT.