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Mandarinka [93]

3 years ago

5

Garien buys 5 neon tetras and 4 cardinal tetras for $15.50. Marcus buys 6 neon tetras and 10 cardinal tetras for $26.40. Write a

system of equations that can be used to find n, the cost of 1 neon tetra, and c, the cost of 1 cardinal tetra.

1 answer:

Pani-rosa [81]3 years ago

7 0

Answer:

5n + 4c = 15.50

6n + 10c = 26.40

Solve the system and get c = 1.50 ∧ n = 1.90

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Diego is solving the equation x^2-12x = 21

uysha [10]

Answer:

The solutions to the quadratic equations will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

Step-by-step explanation:

Given the expression

$x^2-12x\:=\:21$

Let us solve the equation by completing the square

$x^2-12x\:=\:21$

Add (-6)² to both sides

$x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2$

simplify

$x^2-12x+\left(-6\right)^2=57$

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

$x^2-12x+\left(-6\right)^2=\left(x-6\right)^2$

so the expression becomes

$\left(x-6\right)^2=57$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x-6=\sqrt{57}$

add 6 to both sides

$x-6+6=\sqrt{57}+6$

Simplify

$x=\sqrt{57}+6$

also solving

$x-6=-\sqrt{57}$

add 6 to both sides

$x-6+6=-\sqrt{57}+6$

Simplify

$x=-\sqrt{57}+6$

Therefore, the solutions to the quadratic equation will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

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2 years ago

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dimulka [17.4K]

The Answer is D!!
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2 years ago

What is a force described by

Dima020 [189]

Answer:

a force is described by its strength and by the direction in which it acts. -The strength of a force is measured in the SI unit called the Newton (N).

Step-by-step explanation:

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3 years ago

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saveliy_v [14]

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3) 3d is an even function because f(-x)=f(x)
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3 years ago

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Please I need your help

Svetllana [295]

Answer:

249mm

Step-by-step explanation:

You find volume of the overall figure- 11 x 3 x 13= 429

Then find volumes of missing parts of overall complete figure and subtract from the overall volume....

5 x 4 x 3= 60

429-60=369

-------------------------------------

8 x 5 x 3= 120

369-120= 249

Hope this helped!! Hope you got it- please leave a rating and mark as Brainliest. Thank You :) (I really want to go to sleep right now, would have explained further, sorry)

8 0

3 years ago