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4 years ago

Completely factor the polynomial. 4x^2 20x 25

1 answer:

6 0

I use the railroad method so here's how I would solve it:
4 x 25 = 100
10 x 10 = 100, 10 + 10 = 20
(x +10/4)(x + 10/4)
(x + 5/2)(x + 5/2)
The answer should be: (2x + 5)(2x + 5)

It can be checked:
2x x 2x = 4x^2
2x x 5 = 10x
5 x 2x = 10x
5 x 5 = 25
4x^2 + 20x + 25

So yes, the answer would be (2x + 5)(2x + 5)

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If f(x) = x2 − 81 and g(x) = x+9/x-9, find g(x) · f(x).

dexar [7]

Answer:

f(x) = x² - 81 = ( x+ 9)(x - 9) Difference of two squares

g(x) = x+9/x-9

g(x) . f(x) = x + 9/ x - 9 × (x+9)(x - 9)

= ( x + 9)(x +9)

= ( x + 9)²

= x² + 18x + 81

Hope this helps.

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4 years ago

SQUARE ROOT OF 16<br><br>THANKS

Mila [183]

Answer:

Step-by-step explanation:

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The square root of 16 is 4.

8 0

2 years ago

Read 2 more answers

Standard issue passenger license plates in Ohio consist of three letters followed by four numbers. How many standard issue licen

dezoksy [38]

Answer:

The standard issue license plates that can be produced if there are no restrictions on the letters and numbers = 175760000

Step-by-step explanation:

If there are no restrictions, all numbers and letters are available to be used then. And with no restrictions, every number or letter can appear more than once.

There are 7 spaces available; 3 spaces for letters, 4 spaces for numbers

The different combination of letters and numbers then becomes,

26 × 26 × 26 × 10 × 10 × 10 × 10

This is because, all 26 letters (A to Z) can occupy the first space, the second space and the third space. And all 10 digits (0 to 9) can occupy the fourth space, the fifth space, the sixth space and the seventh space.

So, the standard issue license plates that can be produced if there are no restrictions on the letters and numbers = 26 × 26 × 26 × 10 × 10 × 10 × 10 = 175760000 different standard issue license plates.

8 0

3 years ago

Need help right now asap??!?!?!??!?!??!

abruzzese [7]

A) The person that has a greater probability of selecting a quadrilateral is Robert.

B) The person that has a greater probability of selecting a polygon is; Robert.

C) The event that is more likely to happen is the Probability of Sandy selecting a polygon with at least 2 sides parallel.

<h3>How to Identify Polygons?</h3>

Sandy has; Square, Rhombus, Equilateral Triangle, Regular Hexagon

Robert has Scalene Triangle, Kite, Right Isosceles Triangle, Isosceles Trapezoid, Quadrilateral.

A) Sandy's probability of selecting a quadrilateral = 2/4 = 0.5

Robert's probability of selecting a quadrilateral = 3/5 = 0.6

The person that has a greater probability of selecting a quadrilateral is Robert

B) The person that has a greater probability of selecting a polygon is; Robert because he has more.

C) Probability of Sandy selecting a polygon with at least 2 sides parallel is; 3/4 = 0.75

The Probability of Robert selecting a polygon with at least 2 sides parallel is; 2/5 = 0.4

The event that is more likely to happen is the Probability of Sandy selecting a polygon with at least 2 sides parallel.

Read more about Polygons at; brainly.com/question/5715879

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6 0

2 years ago

What combination of transformations is shown below?

melamori03 [73]

Answer:

Rotated then translated

Step-by-step explanation:

4 0

3 years ago