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zmey [24]
3 years ago
8

What the answer when you factor this polynomial expression. 3x2 + 30x + 75

Mathematics
1 answer:
Nataly [62]3 years ago
7 0

Answer:

3(x + 5)(x+ 5)  

Step-by-step explanation:

3x² + 30x + 75

Here's one way to do it.

Step 1. Factor out the highest common factor of all three terms.

You can factor out a 3.

3(x² +10x +25) = 0

Step 2. Factor the remaining polynomial

We must find two numbers whose product is 25 and whose sum is 10.

A little trial-and-error gives us 5 and 5.  

5 × 5 = 25; 5 + 5 = 10

We can factor the expression as

3(x + 5)(x + 5)

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Evaluate the expression 5 square minus (3 square+4)
nikitadnepr [17]

Answer:

12

Step-by-step explanation:

We have 5 squared minus (3 squared plus 4). Convert this to mathematical expression:

- "5 squared" = 5²

- "minus" = -

- "3 squared" = 3²

- "plus 4" = + 4

Put it altogether:

5² - (3² + 4)

5² = 5 * 5 = 25 and 3² = 3 * 3 = 9, so:

25 - (9 + 4) = 25 - (13) = 12

The answer is thus 12.

<em>~ an aesthetics lover</em>

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Find the GCF of 35, 60, and 25
user100 [1]

Answer:

<u>5</u> is the GCF

Step-by-step explanation:

The factors of 35 are: 1,5,7,35

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 25 are:  1, 5, 25

The highest or greatest factors that all of them have in common is 5.

4 0
3 years ago
The function c ( x ) = 63 ⋅ ( 1.03 ) x models the cost in dollars, c , of 1 ounce of a certain chemical used in a laboratory. x
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9514 1404 393

Answer:

  $98.15

Step-by-step explanation:

2005 is 15 years after 1990. Using the formula we find ...

  c(15) = 63·1.03^15 ≈ 63·1.55797

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An ounce of the chemical costs about $98.15 in 2005.

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What are the coordinates for A' B' C'?
Firdavs [7]

Answers:

  • Point A' is at (-2, 2)
  • Point B' is at (-3, -2)
  • Point C' is at (3, 1)

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Explanation:

The scale factor is 1/2 = 0.5, which we will multiply with each coordinate of each point.

  • Point A(-4,4) will move to A ' (-2, 2) after multiplying both coordinates by 0.5
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As a result, the figure shrinks.

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