Answer:
C) 2 (2x + 3) (3x + 1)
Step-by-step explanation:
12x² + 22x + 6
2 ( 6x² + 11x + 3 )
2 [ 6x² + 9x + 2x + 3 ]
2 [ 3x ( 2x + 3 ) + 1 ( 2x + 3 ) ]
2 ( 2x + 3 ) ( 3x + 1 ) ⇒ C
Answer: 1.03333333333
Step-by-step explanation:
Answer:
t = 3 arc cos(h/7)/π
Step-by-step explanation:
The equation h=7cos(pi/3 t) models the (h) height in centimeters after (t) seconds of a weight attached to the end of a spring that has been stretched and released. To solve the equation for t we will solve the equation step by step:
h=7cos(pi/3 t)
Step 1)
Divide both sides by 7
h/7 = 7cos(pi/3 t)/7
Now the equation becomes h/7=cos(pi/3 t)
Step 2)
h/7=cos(pi/3 t)
Now apply inverse cosine function:
arc cos (h/7) = pi/3 t
Step 3)
t = 3 arc cos(h/7)/pi
Thus t = 3 arc cos(h/7)/pi ....
Answer:
slope = 2
Step-by-step explanation:
Find 2 points on the line that land perfectly on the grid. I'll choose these 2 here:
(-2, -1) and (0, 3)
Rise is the change in the y value from one point to the other, and run is the change in the x. Looking at these 2 points, y went from -1 to 3. That is a <em>rise</em> of 4. The x went from -2 to 0, so that is a <em>run</em> of 2. "rise over run" means rise literally over run in a fraction like this:
The more proper way to calculate slope looks like this, but it's really the same thing in the end:
where (x1, y1) and (x2, y2) are your 2 points.
Finally, the slope of this line is:
That's a rise of 4 over a run of 2, and that simplifies to just a slope of 2.