Answer:
A
Step-by-step explanation:
Since x has a negative coefficient, the graph opens downwards meaning that it has a maximum.
The vertex formula is y = a(x - h)^2 + k so the coordinate must be (-6, 6).
The numbers are 5 and 12.
Smaller number = x
Larger number = y
x +y =17
y = 3x - 3
x +3x -3 = 17
4x = 20
x = 5
smaller number is 5
y = 3(5) - 3
y = 12
larger number is 12.
Let that be x
ATQ
Arrange accordingly to work backwards(Every thing is reversed)
.
Answer:
Step-by-step explanation:
The terms of this sum make the arithmetic sequence.
The fomula of a sum of <em>n</em> terms of an arithmetic sequence:
![S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7B%5B2a_1%2B%28n-1%29d%5D%5Ccdot%20n%7D%7B2%7D)
We have
Substitute:
![S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475](https://tex.z-dn.net/?f=S_%7B50%7D%3D%5Cdfrac%7B%5B2%5Ccdot2%2B%2850-1%29%5Ccdot15%5D%5Ccdot50%7D%7B2%7D%3D%284%2B49%5Ccdot15%29%5Ccdot25%3D%284%2B735%29%5Ccdot25%5C%5C%5C%5C%3D739%5Ccdot25%3D18%2C475)
Simplify the expression:
8(2x - 3) - 6x = 8×2x - 8×3 - 6x = 16x - 24 - 6x = 10x - 24
for x=3
put value of "x" to the expression:
<u>10×3 - 24 = 30 - 24 = 6</u>
