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katrin2010 [14]
4 years ago
11

What is the missing number in this pattern? 1, 1, 2, 3, 5, 8, 13,

Mathematics
1 answer:
eimsori [14]4 years ago
8 0
The next number would be 8+13 = 21
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Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. -
saw5 [17]

Answer:

f(x) = x³ - 4x² + x + 6

Step-by-step explanation:

The polynomial function f has zeros at -1, 2, and 3.

So, the least degree of the polynomial will be 3{As it has three roots}.

Then, if the function is of x variable then (x + 1), (x - 2) and (x - 3) will be the factors of the polynomial.

Therefore, we can write  

f(x) = (x + 1)(x - 2)(x - 3)

⇒ f(x) = (x + 1)(x² - 5x + 6)

⇒ f(x) = x³ - 5x² + 6x + x² - 5x + 6

⇒ f(x) = x³ - 4x² + x + 6  

Hence, this is the polynomial with least degree having rational coefficients and with leading coefficient of 1 and the zeroes -1, 2, 3. (Answer)

8 0
4 years ago
Solve the system of equations using the substitution method y=2 and 2x+y=8
antiseptic1488 [7]

Answer:

x=3 y=2

Step-by-step explanation:

y=2

2x+y=8

Substitute y=2 into the second equation

2x+2=8

Subtract 2 from each side

2x+2-2=8-2

2x=6

Divide each side by 2

2x/2 =6/2

x=3

x=3 y=2

6 0
3 years ago
Each side of a square is (7 + 3x) units. Which is the perimeter of the square?
anygoal [31]

Answer:

28+12x

Step-by-step explanation:

The perimeter of a square is 4s where s is the side lenght. In your case s is 7+3x so the perimeter will be (28+12x).

3 0
3 years ago
How many time can eight go into fifty
dedylja [7]

Answer:

25/4

The exact form is 25/4

The decimal form is 6.25

The mixed number form is 6 1/4

Hope this helps!

<u><em>PLEASE, </em></u>consider brainliest. I only have 2 left and then my rank will go up.

3 0
4 years ago
Read 2 more answers
Help pleassee and thank you .
vampirchik [111]

Answer:

please and thank you are the magic words

6 0
4 years ago
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