16x² + 8x + 32
8(2x²) + 8(x) + 8(4)
8(2x² + x + 4)
Answer:
Step-by-step explanation:
The trigonometric function that needs a domain restriction of ![[-\frac{\pi}{2},\frac{\pi}{2} ]](https://tex.z-dn.net/?f=%5B-%5Cfrac%7B%5Cpi%7D%7B2%7D%2C%5Cfrac%7B%5Cpi%7D%7B2%7D%20%5D)
to make it invertible is .
The function will pass the horizontal line test on this interval therefore making it an invertible function on this interval.
This explains why the inverse tangent function, 
has range .
Answer:
Step-by-step explanation:
15y+12x = 18 is equivalent to 5y+4x = 6
2x+3y = 12 is equivalent to -6y = 4x-24
one solution: (x,y) = (-21,18)
Answer:
y = 3x - 4
Step-by-step explanation:
Slope-intercept is defined <em>y = mx + b</em>
Where m = slope (change in y-coordinate/ change in x-coordinate)
and b = y-intercept (where the graph crosses the y-axis)
For every 1 unit the line moves horizontally... it travels 3 units vertically. Therefore the slope (m) equals 3/1 or 3
The line crosses the y-axis at -4. Therefore... the y-intercept (b) is -4
I hope this helps!
Answer:
-10 > (-4x - 6) > -22
Step-by-step explanation:
Given inequality is 5 < 2x + 3 < 11
Now we will multiply this inequality by (-2) resulting,
5(-2) > (2x + 3)(-2) > 11(-2)
-10 > (-4x - 6) > -22 (Sign of inequality gets reversed when the inequality is multiplied or divided by a negative number)
Therefore, the possible range of (-4x - 6) is between -22 and -10.
