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Allisa [31]
2 years ago
6

6x²-23x+15 x²-9 Simplify the following expression by factoring

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
8 0

The simplified form of the expression, 6x²-23x+15, is (6x - 5)(x - 3)

The simplified form of the expression, x²-9, is (x + 3)(x - 3)

<h3>Factoring an Expression</h3>

From the question, we are to simplify the given expression by factoring

The given expression is

6x² - 23x + 15

Factoring

6x² - 23x + 15

6x² - 18x - 5x + 15

6x(x - 3) -5(x - 3)

(6x - 5)(x - 3)

∴ The simplified form of the expression is (6x - 5)(x - 3)

We are to simplify

x² - 9

By difference of two squares, we have that

a² - b² = (a + b)(a - b)

x² - 9 can be expressed as

x² - 3²

Thus,

Using difference of two squares

x² - 3² = (x + 3)(x - 3)

Hence, the simplified form of the expression is (x + 3)(x - 3)

Learn more on Factoring an expression here: brainly.com/question/22048680

#SPJ1

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The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the grap
Studentka2010 [4]

Answer:

D) (-2,-9)

Step-by-step explanation:

<u>Vertex Form of a Vertical Parabola:</u>

y=a(x-h)^2+k

Vertex -> (h,k)

Axis of Symmetry -> x=h

Vertical Scale Factor -> a

  • To turn f(x)=x^2+4x-5 into vertex form, we need to complete the square on the right side
  • Therefore, if f(x)=0, then 0+9=x^2+4x-5+9 completes the square on the right side
  • This becomes 9=(x+2)^2
  • This means that our function in vertex form is f(x)=(x+2)^2-9

Therefore, the vertex of the graph is (h,k)=(-2,-9).

3 0
3 years ago
What is the vertex of the graph of y = x2 + 4x?<br> (–2, –12)<br> (–2, –8)<br> (–2, –6)<br> (–2, –4)
SCORPION-xisa [38]

Answer: The vertex of the parabola (quadratic function) is (-2,-4)

Fourth option: (-2,-4)


Solution:

y=x^2+4x

y=ax^2+bx+c; a=1, b=4, c=0

Vertex: V=(h,k)

h=-b/(2a)

h=-4/(2(1))

h=-4/2

h=-2

y=x^2+4x

k=y=h^2+4h

k=(-2)^2+4(-2)

k=4-8

k=-4

Vertex: V=(h,k)

Vertex: V=( -2, -4)



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4 years ago
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The number of data values between the lower quartile and the median is less than the number of data values between the upper quartile and the median.

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Step-by-step explanation: To determine whether 5/3 is rational or irrational, it's important to understand that all fractions positive or negative are rational numbers.

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B SSA

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