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FrozenT [24]
3 years ago
7

How do I solve this?

Mathematics
1 answer:
ra1l [238]3 years ago
4 0

Answer:

(-6,1)   (2,7)

Step-by-step explanation:

y =x+5

y = x^2 +5x-7

Set the two equations equal since y=y

x+5 =  x^2 +5x -7

Subtract x from each side

x-x+5 =  x^2 +5x-x -7

5 = x^2 +4x -7

Subtract 5 from each side

5-5 = x^2 +4x -7-5

0 = x^2 +4x-12

Now we can factor the right side

What 2 numbers multiply to -12 and add to +4

6*-2 =-12

6-2 =4

0 = (x+6) (x-2)

Using the zero product property

x+6=0    x-2=0

x=-6   x=2

We need to find y for each value of x

y = x+5           y = x+5

y = -6+5            y = 2+5

y =1                 y = 7

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Answer:

its x=2

Step-by-step explanation:

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3 years ago
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
Maria tenia 6.500kg de patatas. Las envaso en sacos de 25kg y los puso a la venta a 30$ cada uno. Vendio la mitad de los sacos a
mojhsa [17]

Responder:

$ 7540

Explicación paso a paso:

Dado que:

Kilogramos totales de papa = 6500

Número de kilogramos por paquete = 25

Precio por paquete = $ 30

La mitad se vendió a $ 30

El resto se vende a ($ 30 - $ 2)

Número total de paquetes de 25 kg:

6500 kg / 25 kg = 260 paquetes

Por lo tanto, paquete total = 260 paquetes

La mitad se vende a $ 30:

(260/2) * 30

130 * $ 30 = $ 3900

Resto vendido a $ 28:

(260 - 130) * $ 28

130 * $ 28 = $ 3640

Cantidad total realizada:

$ (3640 + 3900) = $ 7540

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3 years ago
What is the point-slope form of a line with slope 6 that contains the same point (1,2)
garri49 [273]
Step 1: Create an equation with a slope of 6
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Step 2: Substitute x and y by with the point (1,2) and solve the equation for b
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Step 3: Substitute -4 for b in the equation
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The equation that has a slope of 6 and passes through the point (1,2) in point-slope form:
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You're given two angles and the side not between them are congruent, so the AAS theorem applies. (2nd selection)
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