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3 years ago

Which statement explains the type of function that is represented by the equation y=x2 +9?

Mathematics

1 answer:

DENIUS [597]3 years ago

6 0

The answer is 28392729

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What are the exact solutions of x2 − 5x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b square

geniusboy [140]

Answer:

$x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

Step-by-step explanation:

So the question here is asking you to use the quadratic formula which is expressed as: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$

A quadratic can generally be expressed as: $y=ax^2+bx+c$

So using the equation you gave: $0=x^2-5x-1$

We can identify the following values: a=1, b=-5, c=-1

Btw the equation explicitly write "1" as the coefficient of x, but since it's not provided it's implied that it's 1.

So plugging in the known values, we get the following equation:

$x=\frac{5\pm\sqrt{(-5)^2-4(1)(-1)}}{2(1)}\\\\x=\frac{5\pm\sqrt{25+4}}{2}\\\\x=\frac{5\pm\sqrt{29}}{2}\\\\x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

The last step just consists of taking the + and - solution, and since it asks for exact solutions you leave the 29 under the radical, and you don't approximate. There is no further simplification that can be done here.

5 0

2 years ago

We want to factor the following expression:

S_A_V [24]

Answer:

A. (U+V)^2 or (U-V)^2

Step-by-step explanation:

$9x^6 + 6x^3y + y^2 \\ \\ = {(3 {x}^{3} )}^{2} + 2.(3x^3).y +( y)^2 \\ \\ = \bigg({3 {x}^{3} } + y \bigg)^{2} \\ \\ = \bigg({3 {x}^{3} } + y \bigg) \bigg({3 {x}^{3} } + y \bigg) \\ \\ \\ \\$

4 0

2 years ago

What is the simplest form

SCORPION-xisa [38]

Answer:

3x^2y\sqrt(y)

Step-by-step explanation:

(\sqrt() means square root

its the 2nd one

4 0

2 years ago

Let f(x) = -4x + 7 and g(x) = 2x - 6. Find (fºg)(1). A 23 B 0 C 3 D -4

Anit [1.1K]

Answer:

I will get the function of g (x) and plug it on X in the function of f ( x ) and then later substitute X with 1

3 0

2 years ago

1. Which statement best describes the polynomial 2x^3-4?

anastassius [24]

X cube means it is a third degree function. 2x cube is 1 term and -4 is another. so B.

5 0

3 years ago