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Thepotemich [5.8K]
3 years ago
12

Write the following expression

Mathematics
1 answer:
Rashid [163]3 years ago
6 0

Answer:

2x^2 - 18x + 45

Step-by-step explanation:

Standard form is ax^2 + bx + c

Expand the (x-5)^2 = (x-5)(x-5) --

x^2 - 5x - 5x + 25

x^2 - 10x + 25

So we now have

2(x^2 - 10x + 25) + 2(x-5) + 5

From here, distribute the 2 to each term in x^2 - 10x + 25, and distribute the 2 to each term in x - 5.

2x^2 - 20x + 50 + 2x - 10 + 5

Combine like terms

2x^2 - 20x + 2x + 50 - 10 + 5

2x^2 - 18x + 40 + 5

2x^2 - 18x + 45

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What is the greatest 8.5,5.83,5.8,58.3
Nata [24]

Answer:

58.3

Step-by-step explanation:

58.3 has the highest unit (the number left of the dot)

8 0
3 years ago
Read 2 more answers
.The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 s
Citrus2011 [14]

Answer:

The constant of variation is 1/9

The equation representing the direct variation is y/x= 1/9

Step-by-step explanation:

In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Therefore, the constant of variation is 1/9

Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation

* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both

5 0
2 years ago
What is a multiple of 7 and is also a factor of 7
olga2289 [7]
28 is a multiple of 7 and also a factor of seven!
4 0
3 years ago
Subtract: (x^2 - 8x + 5)-(-3x^2 + 5x-9)
Marianna [84]

Answer: 4x^2 -13x + 14

Step-by-step explanation:

(x^2 - 8x + 5)-(-3x^2 + 5x-9)

Subtract -3x^2 from x^2

(4x^2 - 8x + 5)-(5x-9)

Subtract 5x from -8x

(4x^2 -13x + 5)-(-9)

Subtract 9 from 5

4x^2 -13x + 14

7 0
3 years ago
PLEASE HELP!! Find the surface area of each figure to the nearest tenth. Show your work.
hram777 [196]
Surface area = 2(ab+bc+ac)
a=5.2 ft,  b=2.4 ft, c=3.5ft

Surface area = 2(5.2 * 2.4 + 2.4 * 3.5 + 3.5 * 5.2) =
                         2(12.48 + 8.4 + 18.2) = 
                         2 * 39.08 =
                         78.16 ≈ 78.2 ft²   ← <span>to the nearest tenth</span>
7 0
3 years ago
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