3/4x=15 you flip 3/4 to 4/3 and cancel it out on one side leaving x by itself then you multiply 4/3 by 15 and you get 60/3 and that equals 20 x=20
No, there is not a product rule for integration.
To integrate (2x - 1)(6x + 5), start expanding the product:
(2x - 1)(6x + 5) = 12x^2 + 10x - 6x - 5 = 12x^2 + 4x - 5.
Now, I guess you know how to integrate that:
∫ (12x^2 + 4x - 5) dx = ∫12x^2 dx + ∫4x dx + ∫ (-5) dx = 4x^3 + 2x^2 - 5x + C
<u>Answer:</u>
y=-1/4x-1
<u>How to find the </u><u>slope</u>
To find the slope of the line you need to do the change in y/change in x. This is also known as the rise/run. To do this you count the spaces in between the two points.
In this graph the change in y (rise) is 2. The change in x (run) is 8. Since the line is going down they are negative. The rise/run is -2/8. This can be simplified to -1/4.
Slope: -1/4x
<u>How to find the y-intercept</u>
To find the y-intercept, you need to look at where the line crosses y.
In this graph the line crosses y at -1.
Y-intercept: -1
<u>Final</u><u> </u><u>equation</u><u>:</u><u> </u><u>-</u><u>1</u><u>/</u><u>4x-1</u>
If a consistent system has an infinite number of solutions, it is dependent. When you graph the equations, both equations represent the same line. <span>If a system has no solution, it is said to be </span>inconsistent. <span>The graphs of the </span>lines<span> do not intersect, so the graphs </span>are parallel<span> and there is no solution.</span>
Answer:
Step-by-step explanation:
Just use the distributive property.
(4y^2-3)(4y+3)
= 4y^2(4y+3) - 3(4y+3)
= 16y^3 + 12y^2 - 12y - 9
