Answer:
(12.2,-6.4)
Step-by-step explanation:
The results from Desmos are as shown.
The displayed values are (12.294, -6.353)
Answer:
8x10^-12
Step-by-step explanation:
Hope that helps.
Answer:
The number of <u>dimes are 100</u> and number of <u>quarters are 140.</u>
Step-by-step explanation:
Let the number of dimes be 'd' and quarters be 'q'.
Given:
The sum of amount is $45.
The total number of coins are 240.
1 dime = $0.10
∴ 'd' dimes = ![\$0.10d](https://tex.z-dn.net/?f=%5C%240.10d)
1 quarter = $0.25
∴ 'q' quarters = ![\$0.25q](https://tex.z-dn.net/?f=%5C%240.25q)
Now, as per question:
![d+m=240-----1\\0.1d+0.25q=45---2](https://tex.z-dn.net/?f=d%2Bm%3D240-----1%5C%5C0.1d%2B0.25q%3D45---2)
Multiplying equation (1) by -0.1 and adding the result to equation (2), we get:
![-0.1d-0.1q=240\times -0.1\\-0.1d-0.1q=-24\\0.1d+0.25q=45\\-----------\\0.15q=21\\q=\frac{21}{0.15}=140\\\\d=240-q=240-140=100](https://tex.z-dn.net/?f=-0.1d-0.1q%3D240%5Ctimes%20-0.1%5C%5C-0.1d-0.1q%3D-24%5C%5C0.1d%2B0.25q%3D45%5C%5C-----------%5C%5C0.15q%3D21%5C%5Cq%3D%5Cfrac%7B21%7D%7B0.15%7D%3D140%5C%5C%5C%5Cd%3D240-q%3D240-140%3D100)
Therefore, the number of dimes are 100 and number of quarters are 140.
Answer:
Option A is correct, i.e. 12.
Step-by-step explanation:
Given is the table of x&y relationship which represents an exponential function.
The average rate of change for a function can be found using the following formula:-
F_average = { f(b) - f(a) } / (b-a)
Given a = 3 and b = 5.
From the table, f(3) = 8 and f(5) = 32.
So, F_average = (32-8)/(5-3)
F_average = 24/2 = 12.
Hence, option A is correct, i.e. 12.
Answer:
The answer is B
Step-by-step explanation:
You have to add the 480 dollars which eliminates A and C. Then, when finding commission you make the commission rate into decimal form which eliminates D. Your only option left is B