Answer: g(x)= -1/2x^2
Step-by-step explanation: since the parabola is opening downwards it would have to be a negative so all we are left with is g(x)=-2x^2 and g(x)-1/2x^2 and if we go in the calculator and type up each equations you would see our answers is g(x)=-1/2x^2
Answer: A
Step by step explanation: I got it correct in edg. Good luck! Have a great day.
Answer:
$284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.
Step-by-step explanation:
Firstly, to calculate the portions each class should have, we should find the proportion each class takes up.
Hence, let's say A represents Mr. Aceves' class, B represents Mrs. Baca's class, and C represents Mr. Canyon's class.
The total number of box tops collected would be 3760 + 2301 + 1855 = 7916 box tops.
Therefore, the total proportions would be:
A = 
B = 
C = 
Hence, we can finally multiply these proportions with the total prize to find the appropriate division:
Mr. Aceves' class gets
.
Mrs. Baca's class gets
.
And Mr. Canyon's class gets
.
Finally, $284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.
Hope this helped!
Answer:
IQR = 7
Step-by-step explanation:
To get the interquartile range of the set of data, the following steps must be followed:
Datas 4, 4, 6 , 7, 10 , 11 , 12, 14 ,15
Step 1: Rearrange the datas in ascending or descending order if not arranged.
4, 4, 6 7, 10, 11, 12, 14, 15
Step 2:
We will locate the (N+1/4)the cumulative value of the data where N is the total frequency of the data.
N = 4 + 4 + 6 + 7 + 10 + 11 + 12 + 14 + 15
N = 83
N+1/4 = 83+1/4
= 84/4
= 21st cumulative value
On cumulating the values up to the 21st value or more:
4 + 4 + 6 + 7
= 21
Since the 21st value falls on 7, then the interquartile range of the set of data is 7
Answer:
m∠ABC = 119° and DC = 105 feet
Step-by-step explanation:
For better understanding of the solution see the attached figure of the trapezium ABCD :
m∠BCD = 61°
By using the property, Sum of interior opposite angles in a trapezium is supplementary ⇒ m∠BCD + m∠ABC = 180°
⇒ m∠ABC = 180° - 61°
⇒ m∠ABC = 119°
Now, to find length of DC,
Draw a perpendicular BE on CD ⇒ CD = DE + EC
AB = DE
⇒ DE = 80 feet
In ΔBEC, By using Pythagoras theorem
EC² = BC² - BE²
⇒ EC² = 65² - 60²
⇒ EC = 25 feet
Hence, DC = 80 + 25
= 105 feet