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Crazy boy [7]
3 years ago
7

Which of the following represents the factorization of the polynomial below ?

Mathematics
1 answer:
Ugo [173]3 years ago
6 0

2x² + 13x + 15


First you multiply the first and last number, 2 · 15 = 30

Now you need to find the factors of 30 that add or subtract to +13(I added the plus sign to indicate that the factors that add/subtract to 13 must come out as positive 13)


Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30 [1 · 30, 2 · 15, 3 · 10, 5 · 6]

You can do either 15 and 2 because 15 - 2 = 13, or 3 and 10 because 3 + 10 = 13.

I will be doing 10 and 3


2x² + 13x + 15    Instead of 13x, you can replace it with 3x and 10x because when you add it together it is 13x


2x² + 3x + 10x + 15   Now you can factor them out separately

x(2x + 3) + 5(2x + 3) You can factor out (2x + 3) from x and 5 to get:

(2x + 3)(x + 5)


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The image shows a dust mite as seen under a microscope. The scale of the drawing to dust is 100:1
hoa [83]

The actual length of the dust termite observed under the microscope is 1.5 mm

  • The scale of image produced under the microscope 100 : 1

  • This means image is magnified 100 times its original size as microscopes are used to enlarge or magnify the size objects.

  • Taking the measured size of the dust termite under the microscope in millimeter = 150 mm

The actual length of the termite will be :

  • Measured size under microscope ÷ 100

  • 150 mm ÷ 100

  • 1.5 mm

Therefore, the actual length of the dust termite is about 1.5 mm

Learn more :brainly.com/question/9572911

8 0
3 years ago
What is an expression for the area of the shaded region? Simplify your answer.
Reptile [31]

Answer:

if it is put into a equation this would be it

2(x^2+6x+9) - (1.57)(x^2+6x+9)

Step-by-step explanation:

(x+3)(2x+6) - 1/2(3.14)(x+3)(x+3)

(2x^2+6x+6x+18) - 1/2(3.14)(x^2+3x+3x+9)

(2x^2+12x+18) - 1/2(3.14)(x^2+6x+9)

2(x^2+6x+9) - (1.57)(x^2+6x+9)

2(x^2+6x+9) is the rectangle at the bottom

(1.57)(x^2+6x+9) is the semicircle that is taking out of the shaded area

5 0
3 years ago
Write an equation to solve this problem: Twenty-four is 25 percent of what number? Find the answer .
Ghella [55]
24 times 100 then divide that by 25
6 0
3 years ago
I have a negative balance of $153 in my saving account. Every week, I save $17 and deposit it into my saving account. How many w
Komok [63]

Answer: 17x=153

It would take 9 weeks to reach a balance of 0.

Step-by-step explanation:

So what you would do, you would do as follows; you have a situation where is says "every week'' so you would put 17x=153. So to solve that, you would divide 153 by 17, and that's how you would get your answer of 9.

8 0
3 years ago
Please could someone help
Zolol [24]

Answer:

x ≈ -0.90, y ≈ 2.31

x ≈ 1.40, y ≈ 9.19

Step-by-step explanation:

Easiest and fastest way to do this is to graph the systems of equations and trace where the graphs intersect:

3 0
3 years ago
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