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Charra [1.4K]
3 years ago
12

(x–y)^2–a(y–x) Write as a product of two polynomials

Mathematics
1 answer:
Leto [7]3 years ago
4 0

Answer:

= (x-y) (2x - y)

Step-by-step explanation:

(x–y)²–a(y–x)

= (x-y)(x-y) - a(y-x)

Factor out negative 1 from (y-x)

= (x-y)(x-y) - a(x-y)(-1)

Multiply the -1 by -a

= (x-y)(x-y) + a(x-y)

Factor out (x-y) from both terms

= (x-y) [(x-y) + a]

Remove brackets

= (x-y)(x-y+a)

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Aleka and Helene both opened savings accounts that earn 2.5% interest a year. Aleka puts $2,500 into her account. Helene put $1,
Xelga [282]

Given:

Amount in Aleka and Helene accounts represented by the following function:

Aleka: f(x) = 2500(1.025)^x

Helene: g(x) = 1500(1.025)^x + 200x

To find:

The function represents the difference, h(x) = f(x) -g(x), between the value of Aleka's and Helene's total savings after x years.

Solution:

We have,

f(x) = 2500(1.025)^x

g(x) = 1500(1.025)^x + 200x

Now,

h(x) = f(x)-g(x)

h(x) = 2500(1.025)^x-[1500(1.025)^x + 200x]

h(x) = 2500(1.025)^x-1500(1.025)^x - 200x

h(x) = 1000(1.025)^x - 200x

Therefore, the correct option is C.

8 0
3 years ago
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Wewaii [24]

The maximum number of packs Jess can buy is 3 packs.

8 0
2 years ago
Help please! Geometry word problem!
mr Goodwill [35]

By applying <em>reflection</em> theory and constructing a <em>geometric</em> system of two <em>proportional right</em> triangles, the height of the stainless steel globe is approximately 140 ft.

<h3>How to estimate the height of the stainless steel globe</h3>

By physics we know that both the angle of incidence and the angle of reflection are same. Thus, we have a <em>geometric</em> system formed by two <em>proportional right</em> triangles:

5.6 ft / 4 ft = h / 100 ft

h = (5.6 ft × 100 ft) / 4ft

h = 140 ft

By applying <em>reflection</em> theory and constructing a <em>geometric</em> system of two <em>proportional right</em> triangles, the height of the stainless steel globe is approximately 140 ft.

To learn more on geometry: brainly.com/question/16836548

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8 0
2 years ago
72 is equal to 80% of a number n. Write and solve and equation to find n. Write the percent as a decimal.
valentina_108 [34]
Well I'm not sure what the answer would be since I'm not that smart but I did get the answer of 90, I did this by dividing 72 by 80 which equals .9 and I multiplied that by 100 and got 90.
4 0
3 years ago
Read 2 more answers
What is 713 divided by 9 and then the quotient estimated
Murljashka [212]
713/9

79 2/9       Decimal form: 79.222

713 divided by 9 is 79 with a quotient estimate of 2. 

79 r 2


4 0
3 years ago
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