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Bumek [7]
3 years ago
6

Factor 8X squared + 10x + 2​

Mathematics
1 answer:
mojhsa [17]3 years ago
3 0

Answer:

2(4x + 1)(x + 1)

Step-by-step explanation:

Given

8x² + 10x + 2 ← factor out 2 from each term

= 2(4x² + 5x + 1)

To factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × 1 = 4 and sum = + 5

The factors are + 1 and + 4

Use these factors to split the x - term

4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )

= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)

= (4x + 1)(x + 1), thus

4x² + 5x + 1 = (4x + 1)(x + 1) and

8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form

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0. Completa:<br>4.520.389 = 4__ +5CM + __+__+__+__+__<br>​
stira [4]

Answer:

<h2>4,520,389 = 4M + 5CM + 2DM + 3C + 8D + 9U</h2>

Step-by-step explanation:

In this proble, we defined:

  • D represents tens.
  • C represents hundreds.
  • M represents millions.
  • U is units.

So, the given number is 4,520,389, where we need to state the proper variable according to the position of each digit and its value.

4,520,389 = 4M + 5CM + 2DM + 3C + 8D + 9U

In words, the first term represents 4 millions, the second term represents 5 hundred thousands, the third term represents twenty thousands, the fourth term represents three hundreds, the fifth term represents eighty and the las term represents 9 units.

4 0
3 years ago
Suppose a city with population 900,000 has been growing at a rate of 4% per year. If this rate continues, find the population of
Juli2301 [7.4K]

Answer: 2,306,973.7 rounded... 2,306,974

900,000(1+.04)^24

8 0
3 years ago
Please someone help me with this word problem for my math class T.T
olga55 [171]

Answer:

<u>Perimeter</u>:

= 58 m (approximate)

= 58.2066 or 58.21 m (exact)

<u>Area:</u>

= 208 m² (approximate)

= 210.0006 or 210 m² (exact)

Step-by-step explanation:

Given the following dimensions of a rectangle:

length (L) = \sqrt{252} meters

width (W) = \sqrt{175} meters

The formula for solving the perimeter of a rectangle is:

P  = 2(L + W) or 2L + 2W

The formula for solving the area of a rectangle is:

A = L × W

<h2>Approximate Forms:</h2>

In order to determine the approximate perimeter, we must determine the perfect square that is close to the given dimensions.  

13² = 169

14² = 196

15² = 225

16² = 256

Among the perfect squares provided, 16² = 256 is close to 252 (inside the given radical for the length), and 13² = 169 (inside the given radical for the width).  We can use these values to approximate the perimeter and the area of the rectangle.

P  = 2(L + W)

P = 2(13 + 16)

P = 58 m (approximate)

A = L × W

A = 13 × 16

A = 208 m² (approximate)

<h2>Exact Forms:</h2>

L = \sqrt{252} meters = 15.8745 meters

W = \sqrt{175} meters = 13.2288 meters

P  = 2(L + W)

P = 2(15.8745 + 13.2288)

P = 2(29.1033)

P = 58.2066 or 58.21 m

A = L × W

A = 15.8745 × 13.2288

A = 210.0006 or 210 m²

8 0
3 years ago
A type of Conic where the plane is tilted and intersects only on one cone to form a bounded curve.
olga_2 [115]

Answer:

Ellipse when the (tilted) plane intersects only one cone to form a bounded curve.

Step-by-step explanation:

hope it will help :)

8 0
3 years ago
Please help me ?! ❤️❤️
Zanzabum

Answer:

Hey there!

On the horizontal axis, the x-axis, find the point where it says 8.

Then move up to where the y-coordinate is 5.

That is the point (5, 8)

(This basically means- 8 units right and 5 units up)

Let me know if this helps :)

8 0
3 years ago
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