Answer:
17. 42
18. 12
19. 12
20. 12
Step-by-step explanation:
Simply substitute the given values into the variables. So if m = 6 and n = 2:
7m = 7(6) = 42
6n = 6(2) = 12
mn = (6)(2) = 12
3m - 6 = 3(6) - 6 = 18 - 6 = 12
Answer:

Step-by-step explanation:
So we need to find an equation of a line that crosses the point (6,-4) and is perpendicular to y = -2x -3.
First, let's find the slope of the line we want to write. The line we want is perpendicular to y = -2x -3. Recall that if two lines are perpendicular to each other, their slopes are negative reciprocals of each other. What this means is that:

Plug -2 for one of the slopes.

Divide by -2 to find the slope of our line.

Thus, our line needs to have a slope of 1/2.
Now, let's use the point-slope form. The point-slope form is given by:

Plug in 1/2 for the slope m and let's let our point (6,-4) be x₁ and y₁. Thus:

Simplify and distribute:

Subtract 4 from both sides:

The above is the equation that passes the point (6,-4) and is perpendicular to y = -2x -3.
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Using the vertex of the quadratic function, it is found that:
a) The maximum number of customers in the store is at 12 P.M.
b) 75 customers are in the store at this time.
The number of customers in x hours after 7 AM is given by:

Which is a quadratic equation with coefficients 
Item a:
The maximum value, considering that a < 0, happens at:

Hence:

5 hours after 7 A.M, hence, the maximum number of customers in the store is at 12 P.M.
Item b:
The value is y(5), hence:

75 customers are in the store at this time.
A similar problem is given at brainly.com/question/24713268
Explanation:
For a theorem that says "if A then B", the converse is "if B then A."
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The hing.e theorem has numerous parts to the hypothesis. Its converse retains many of those conditions, swapping only the relation between the included angle and the third side.
<u>theorem</u>: if two sides of one triangle are congruent to two sides of another, then the longest third side will be opposite the largest included angle.
<u>converse</u>: if two sides of one triangle are congruent to two sides of another, then the largest included angle will be opposite the longest third side.
Instead of relating the third side to the angle measure, the converse relates the angle measure to the third side.