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Ber [7]
3 years ago
5

Pick the pair of lines that is perpendicular: a. Y = -2/3x + 7 b. Y = 2/3x - 7 c. 4x+ 6y = 12 d. 9x - 6y = 27

Mathematics
1 answer:
Llana [10]3 years ago
6 0

Answer:I think the pair that is perpendicular is

Y=2/3x

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3 years ago
The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is
trasher [3.6K]
The function is graphed as shown below

Part A:

We use the formula - \frac{b}{2a} to find the vertex of the function. A quadratic function of the form of a x^{2} +bx+c and equating this form to the given function - x^{2} +20x-75, we have
b=20 and a=-1.

Substituting a and b into the vertex formula, we have
x=- \frac{20}{2(-1)}=10, as shown in the graph

This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos

Part B:

We can find solution to this equation by factorising

- x^{2} +20x-75=0
-( x^{2} -20x+75)=0
x^{2} -20x+75=0
(x-5)(x-15)=0
x=5 and x=15, as shown in the graph

The two values means that the company makes no profit when they either produce 5 or 15 photos

8 0
4 years ago
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