Say x is 1 1^2=1 4x=4 4*1=4 I believe that is what you were asking
Answer:
y = -7x
Explanation:
Take two points from table: (-4, 28), (-3, 21)
Find slope:
![\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points](https://tex.z-dn.net/?f=%5Csf%20slope%3A%20%5Cdfrac%7By_2%20-%20y_1%7D%7Bx_2-%20x_1%7D%20%5C%20%5C%20%20where%20%5C%20%28x_1%20%2C%20%5C%20y_1%29%2C%20%28%20x_2%20%2C%20%5C%20y_2%29%20%5C%20are%20%5C%20points)
![\rightarrow \sf slope\ (m): \dfrac{21-28}{-3-(-4)} = -7](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20slope%5C%20%28m%29%3A%20%20%20%5Cdfrac%7B21-28%7D%7B-3-%28-4%29%7D%20%20%3D%20-7)
Now find equation:
![\sf y - y_1 = m (x - x_1)](https://tex.z-dn.net/?f=%5Csf%20y%20-%20y_1%20%3D%20m%20%28x%20-%20x_1%29)
![\rightarrow \sf y - 21 = -7(x - (-3))](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20y%20-%2021%20%3D%20-7%28x%20-%20%28-3%29%29)
![\rightarrow \sf y = -7(x +3) + 21](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20y%20%20%3D%20-7%28x%20%2B3%29%20%2B%2021)
![\rightarrow \sf y = -7x -21 + 21](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20y%20%20%3D%20-7x%20-21%20%2B%2021)
![\rightarrow \sf y = -7x](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20y%20%20%3D%20-7x)
Range is the y values or ouputs
domain is inputs or x vvalues
we can use any x value
but at a certain y value, w can't go below that
find thatminimum
find the vertex
for
ax^2+bx+c
the x value of the vertex is
-b/2a
plug that in to the equaiton to get the y value
-b/2a=-(-6)/(2*2)=6/4=3/2
plug that in
2(3/2)^2-6(3/2)-9
2(9/4)-9-9
9/2-18
4.5-18
-13.5
domain=all real numbers
range=from -13.5 to positive infinity
Answer:
123456678890
Step-by-step explanation:
I think this is the answer
Answer:
The number of subscription will be 26,655 in 2022.
Step-by-step explanation:
In 2005, the number subscription is 110,000 and it is decreased at a rate 8% per year.
After 1 year number of subscription is 110,000- 8% of 110,00
=110,000(1-8%)
After 2 years number of subscription is 110,000(1-8%) -8% of 110,000(1-8%)
=110,000(1-8%)(1-8%)
=110,000(1-8%)²
After 2 years number of subscription is 110,000(1-8%)² -8% of 110,000(1-8%)²
=110,000(1-8%)²(1-8%)
=110,000(1-8%)³
....
and so on.
After t year the number of subscription is
![S(t)=110,000(1-8\%)^t](https://tex.z-dn.net/?f=S%28t%29%3D110%2C000%281-8%5C%25%29%5Et)
t= 2022-2005=17 years
![\therefore S(t)=110,000(1+0.08)^{17}](https://tex.z-dn.net/?f=%5Ctherefore%20S%28t%29%3D110%2C000%281%2B0.08%29%5E%7B17%7D)
≈26,655
The number of subscription will be 26,655 in 2022.