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oksano4ka [1.4K]
3 years ago
7

Lynomials and Linear Factors

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

Answer:

y = x³ + 2x² - 13x + 10

Step-by-step explanation:

Given

y = (x + 5)(x - 1)(x - 2) ← expand (x - 1)(x - 2)

  = (x + 5)(x² - 2x - x + 2)

  = (x + 5)(x² - 3x + 2)

Multiply each term in the second factor by each term in the first factor

= x(x² - 3x + 2) + 5(x² - 3x + 2) ← distribute both parenthesis

= x³ - 3x² + 2x + 5x² - 15x + 10 ← collect like terms

y = x³ + 2x² - 13x + 10

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What is the sum of the square root of 63 and 144,divided by 5​
krok68 [10]

Answer:

Step-by-step explanation:

(√63 + 144)/5 = (3√7 + 144)/5 = 0.6√7 + 28.8

8 0
3 years ago
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A snack cart sells lemonade for $2 and hot dogs for $5. The vendor sold 86 items today for a total of $330.
Katen [24]

Answer:

(86 – h) + h = 86

Step-by-step explanation:

$70+$260= $330

34 lemonade + 52 hot dogs = 86 items = $330

With 34 lemonade + 52 hotdogs h= 52

(86 – h) + h = 86 = 86-52+52=86

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3 years ago
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A jam recipe requires 3 quarts of raspberries. Raspberries are available in 1.5 pint containers at a grocery store. How many con
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There are two pints per quart

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3 years ago
Simplify the expression given below. 1/(2x^2-4x) -2/x
Sholpan [36]

Answer:

(9 - 4 x)/(x (2 x - 4))

Step-by-step explanation:

Simplify the following:

1/(2 x^2 - 4 x) - 2/x

Put each term in 1/(2 x^2 - 4 x) - 2/x over the common denominator x (2 x - 4): 1/(2 x^2 - 4 x) - 2/x = ((x (2 x - 4))/(2 x^2 - 4 x))/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4)):

((x (2 x - 4))/(2 x^2 - 4 x))/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4))

A common factor of 2 x - 4 and 2 x^2 - 4 x is 2 x - 4, so (x (2 x - 4))/(2 x^2 - 4 x) = (x (2 x - 4))/(x (2 x - 4)):

((x (2 x - 4))/(x (2 x - 4)))/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4))

(x (2 x - 4))/(x (2 x - 4)) = 1:

1/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4))

1/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4)) = (1 - 2 (2 x - 4))/(x (2 x - 4)):

(1 - 2 (2 x - 4))/(x (2 x - 4))

-2 (2 x - 4) = 8 - 4 x:

(8 - 4 x + 1)/(x (2 x - 4))

Add like terms. 1 + 8 = 9:

Answer: (9 - 4 x)/(x (2 x - 4))

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If u wanna go by a technical term then yes, it can. The positive and negative side of a number. 4 example, -5. It's absolute value is 5. Positive 5's absolute value is 5 as well.

Now if u don't wanna be technical and don't want to use negative numbers, then no, it cannot.

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