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serg [7]
2 years ago
6

(5,1) and (-9,y) slope=-1/7

Mathematics
1 answer:
Kitty [74]2 years ago
5 0

Answer:

y = 3

Step-by-step explanation:

Equation of a line: y = mx + b

Substitute -1/7 for m, slope AND x and y for point (5,1).

1 = (-1/7)(5) + b

Simplify and Isolate b

1 = (-5/7) + b

b = 1 + 5/7

b = 12/7

Sub b=12/7 and m=-1/7 for equation of a line.

y = -1/7 x + 12/7

Sub x = -9 to find the missing y coordinate.

y = (-1/7)(-9) + 12/7

y = 21/7

y = 3

The point is (-9, 3).

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5 0
3 years ago
Max makes and sells posters. The function p(x)= -10x^2 +200x -250, graphed below, indicates how much profit he makes in a month
viktelen [127]
Here is our profit as a function of # of posters
p(x) =-10x² + 200x - 250
Here is our price per poster, as a function of the # of posters:
pr(x) = 20 - x
Since we want to find the optimum price and # of posters, let's plug our price function into our profit function, to find the optimum x, and then use that to find the optimum price:
p(x) = -10 (20-x)² + 200 (20 - x) - 250
p(x) = -10 (400 -40x + x²) + 4000 - 200x - 250
Take a look at our profit function. It is a normal trinomial square, with a negative sign on the squared term. This means the curve is a downward facing parabola, so our profit maximum will be the top of the curve.
By taking the derivative, we can find where p'(x) = 0 (where the slope of p(x) equals 0), to see where the top of profit function is.
p(x) = -4000 +400x -10x² + 4000 -200x -250
p'(x) = 400 - 20x -200
0 = 200 - 20x
20x = 200
x = 10                         
p'(x) = 0 at x=10. This is the peak of our profit function. To find the price per poster, plug x=10 into our price function:
price = 20 - x
price = 10
Now plug x=10 into our original profit function in order to find our maximum profit:
<span>p(x)= -10x^2 +200x -250
p(x) = -10 (10)</span>² +200 (10) - 250
<span>p(x) = -1000 + 2000 - 250
p(x) = 750

Correct answer is C)
</span>
7 0
3 years ago
Show work to triangles 2 and 3 explaining why they are right triangles
olganol [36]

Answer:

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In the first set, the sqrt of 443 is 21.04, but that is not the longest side; 24 is. So the Theorem formula for that is:

\sqrt{443}^2+17^2=24^2 which gives us

443 + 289 = 576, but 732 does not equal 576, so that one is not right.

In the second set, the sqrt of 725 is the longest side, so that formula is:

\sqrt{725}^2=14^2+23^2 which gives us

725 = 196 + 529, and 725 does equal 725, so that one is right.

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6 0
3 years ago
What is the degree of vertex A?
GREYUIT [131]

Answer:

  c.  6

Step-by-step explanation:

The degree of a vertex is the number of arc ends that intercept it. (The other end of the arc is irrelevant.)

Vertex A is connected to B (1), D (2), F (1), and itself (2). There are a total of 6 arc ends that meet vertex A. Its degree is 6.

7 0
3 years ago
PLEASE HELP ME!
Westkost [7]

Answer:

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Step-by-step explanation:

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3rd week: 1090

4th week: 795

Percent decrease from first to fourth week is 75.09%

Hope this helps!

Plz Mark Brainliest!

5 0
3 years ago
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