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Mathematics

1 answer:

scoundrel [369]3 years ago

5 0

Answer:

the last one

Step-by-step explanation:

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Take half of the coefficient on the x term

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What is the range of y= x + 2?

Lelu [443]

Answer:

A) all real numbers greater than or equal to 2

Domain: $x\geq 0$

Step-by-step explanation:

The variable in the radical x cannot be less than 0 as that wouldn’t be defined. So, the maximum that x can be is 0, and $y=x+2$ . So, 0+2=2, and y is greater than or equal to 2.

Domain is x is greater than or equal to 0 because you cannot square a negative. So, it must not be less than 0. It could be 0 because square root of 0 is just 0.

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3 years ago

Suppose that a water fountain produces a stream of water that follows the shape of a parabola. Assigning the origin of a coordin

irina1246 [14]

Vertex = (6, 5)
axis of symmetry is line x = 6
A third point in the parabola is (12, 0)

equation using the vertex is y = -a(x - 6)^2 + 5 = -a(x^2 - 12x + 36) + 5 = -ax^2 + 12ax - 36a + 5
since the parabola passes through point (0, 0)
i.e. -36a + 5 = 0
a = 5/36 = 0.139

Therefore, the equation is y = -0.139x^2 + 12(0.139)x = -0.139x^2 + 1.667x

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Solve for x. The polygons are similar

kotykmax [81]

$\frac{8x-2}{42}=\frac{63}{49}\\\frac{8x-2}{42}=\frac{9}{7}\\7(8x-2)=9\cdot42\ /:7\\8x-2=9\cdot6\\8x-2=54\\8x=54+2\\8x=56\ /:8\\x=7$

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3 years ago