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svet-max [94.6K]
2 years ago
12

Evaluate each expression

Mathematics
1 answer:
azamat2 years ago
3 0

Answer:

See below.

Step-by-step explanation:

<u>Question 1</u>

a = -2 and x = -6

| a + x | / 2 - | a - x | / 2

| -2 + -6 | / 2 - | -2 + 6 | / 2

| -8 | / 2 - | 4 | / 2

8/2 - 4/2

= 4/2

= <u>2</u>

<u></u>

<u>Question 2</u>

a = -5, b = 4, c = 1, d = -3

| a - b | - | c + d |

| -5 - 4 | - | 1 - 3 |

| -9 | - | -2 |

= 9 - 2

= <u>7</u>

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4 years ago
Write a polynomial function that meets the stated conditions.The zeros are −1, 2, and 7.
kondaur [170]

Answer:

A polynomial function that meet the conditions is x³ - 8x² + 5x + 14 = 0

Step-by-step explanation:

Hi there!

Let´s start writting a generic factored function. In this case, the function has 3 zeros so that the factored form will have 3 terms:

(x + a)(x + b)(x + c) = 0

For this expression to be 0, either (x+a) = 0 or (x+b) = 0 or (x+c) = 0

Then:

x + a = 0 ⇒ x = -a

x + b = 0 ⇒ x = -b

x + c = 0 ⇒ x = -c

Then, the values "a", "b" and "c" are equal to the zeros of the function but with opposite sign. Then, in our case:

a = 1

b = -2

c = -7

Then, the polynomial fuction will be:

(x + 1)(x - 2)(x - 7) = 0

Apply distributive property:

(x² - 2x + x -2)(x -7) = 0

(x² - x - 2)(x - 7)

x³ - x² - 2x - 7x² + 7x + 14 = 0

x³ - 8x² + 5x + 14 = 0

Then, a polynomial function that meets the conditions is:

x³ - 8x² + 5x + 14 = 0

Have a nice day!

6 0
3 years ago
jackson kitten weighed 2 pounds 3 ounces a month later the kitten weighed 56 ounces. how munch weight did the kitten gain in tha
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4 years ago
Read 2 more answers
What is the y-intercept of the function f(x) = -2/9+1/3 ?
Tomtit [17]

Answer:

(0,−2/9+1/3)

Step-by-step explanation:

simplified (0, 7/12)

6 0
4 years ago
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