Answer:

Step-by-step explanation:
The given expression is:

We expand the parenthesis using the distributive property to obtain;

Recall that;

We apply this property and multiply out the constant terms to obtain;

Answer:7
Step-by-step explanation:
6p-4+7p+3=90
13p-1=90
13p=91
p=7
Answer:
y = 6x - 11
Step-by-step explanation:
An arithmetic sequence is a linear function. This means it steadily increases or decreases through addition/subtraction by a constant amount. Here the sequence grows by adding 6 each time.
-11 + 6 = -5
-5 + 6 = 1
1 + 6 = 7
etc....
Since this is linear, its equation has the form y = mx + b where m is the slope and b is the y-intercept. The slope is m = 6 and b = -11.
y = 6x - 11
Answer:

And on this case we can use the product rule for a derivate given by:

Where
and
And replacing we have this:

Step-by-step explanation:
We assume that the function of interest is:

And on this case we can use the product rule for a derivate given by:

Where
and
And replacing we have this:

Answer:
x = - 6
Step-by-step explanation:
Given
x² = 24 ( multiply both sides by 3 )
2x² = 72 ( divide both sides by 2 )
x² = 36 ( take the square root of both sides )
x = ±
← note plus or minus
x = ± 6
solutions are x = - 6, x = + 6
The smallest solution is x = - 6