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Margaret [11]
2 years ago
11

6

Mathematics
2 answers:
romanna [79]2 years ago
8 0

Answer:

(-1,5)

(0,2)

(-1,1)

(2,-4)

Molodets [167]2 years ago
6 0

Answer:

y = -3x + 2

Step-by-step explanation:

Rise (y'-y): 2-5 = -3

Run ( x'-x): 0 - -1 = 1

slope (m): rise/run = -3/1

y intercept (b): 2

Equation: y = mx + b

y = -3x + 2

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The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea
Gre4nikov [31]
A) zeroes

P(n) = -250 n^2 + 2500n - 5250

Extract common factor:

P(n)= -250 (n^2 - 10n + 21)

Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0  or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3  or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

Maximum profit =1000 at n = 5

C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.



8 0
3 years ago
Jayson’s car can go 300 miles on 12.5 gallons of gasoline. How far can he drive on 42 gallons of gas?
fomenos
300\ miles\ on\ 12,5\ gallons\\
x\ miles\ \ on\ \ \ 42\ gallons\\\\
Making\ proportion:\\
300-12,5\\
x-42\\\\
Cross\ multiplication\\
300*42=12,5x\\\\12600=12,5x\ \ \ | divide\ by\ 12,5\\\\
x=1008\\\\
He\ can\ drive\ 1008\ miles\ on\ 42 \ gallons\ of\ gas.
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3 years ago
1. If I can buy 3 pounds of grapes for $7.00, how much will 12 pounds cost?
Sladkaya [172]
7*4= $28 (hope this help!)
6 0
2 years ago
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If you borrow $225 for eight years at an interest rate of 6% how much interest will you pay ?
weeeeeb [17]

Answer:$58.55

Step-by-step explanation:


4 0
3 years ago
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What is the slope of this line?<br> -1/5<br> 1/5<br> 5<br> -5
Tems11 [23]

Answer:

1/5

Step-by-step explanation:

The slope of a line at any given point is Rise/run

If I start at Point (0,2) and go to point (5,3)

I have to Rise 1 point up.

I go across, or run, 5.

1/5

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