Answer:
y = 2(x - 1)² - 3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, - 3), thus
y = a(x - 1)² - 3
To find a substitute (- 1, 5) into the equation
5 = a(- 1 - 1)² - 3
5 = (- 2)²a - 3 ( add 3 to both sides )
8 = 4a ( divide both sides by 4 )
a = 2
Thus
y = 2(x - 1)² - 3 ← in vertex form
Answer:
the balance after 5 years is: 26540.744
Step-by-step explanation:
Given the information:
- P = initial balance = $ 20,000
- r = interest rate (decimal) = 5% = 0.05
- n = number of times compounded annually = 4
- t = time = 5
We have the compound interest function ta model the situation is:
<=> A = 
<=> A = $26540.744
Hence, the balance after 5 years is: $26540.744
Answer:
145 :) hope this helps!<3
Step-by-step explanation:
correct me if i'm wrong so no one fails on a test or question
The athlete that has the shortest training ride is athlete A.
The athlete that has the shorter range is Athlete B.
The athlete that has the greater median is Athlete B.
The athlete that has the greater IQR is athlete A.
<h3>What are the summary statistics?</h3>
A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. the two lines are known as whiskers. The first whisker represents the minimum number and the second whisker represents the maximum number. The difference between the whiskers is known as range.
Range of Athlete A = 36 - 13 = 13
Range of Athlete B = 30 - 19 = 11
Training ride of Athlete A = 16
Training ride of Athlete B = 21
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.
Median of Athlete A = 20
Median of Athlete B = 25
IQR of Athlete A = 30 - 16 = 14
IQR of Athlete B = 28 - 21 = 7
To learn more about box plots, please check: brainly.com/question/27215146
#SPJ1
Answer:
y=x-3
Step-by-step explanation: In order to find the slope, you must find out what y is. So you move the 3 to the other side and it becomes negative. thus, the answer is y = x -3
