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valkas [14]
3 years ago
8

Please answer this question :)

Mathematics
1 answer:
sveticcg [70]3 years ago
6 0

Answer:

a)  49.41

b) not quite sure

Step-by-step explanation:

sorry

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3 years ago
Please help… Will mark brainliest!!!
Korolek [52]

Answer:

value of a is -19

value of b is 10

Step-by-step explanation:

<u>Given</u>

p(x) = 6x³ + ax² + 9x + b

Since it is given (x-2) & (2x-1) are the factors of given polynomial p(x) .

So, x = 2 & x = -1/2 are the solutions of given polynomial .

<u>when </u><u>x </u><u>=</u><u> </u><u>2</u><u> </u>

p(2) = 6(2)³ + a(2)² + 9 (2) + b = 0

p(2) = 6×8 + 4a + 18 + b = 0

p(2) = 48 + 4a + 18 + b = 0

p(2) = 66 + 4a + b = 0

4a + b = -66 -------(i)

Now ,

when x = -½

p(-½) = 6(-½)³ + a (-½)² + 9(-½) + b = 0

6 × (-⅛) + a/4 - 9/2 + b = 0

-3/4 + a/4 - 9/2 + b = 0

-3 + a -18+4b/4 = 0

-21 + a + 4b = 0

a + 4b = 21 -------(ii)

Now, multiplying the equation (ii) by 4 we get

4a + 16b = 84 -----(iii)

Substracting equation (i) from (iii) we obtain

15b = 150

b = 150/15

b = 10

Now, putting the value of b = 10 in equation (ii) we get

a + 40 = 21

a = 21-40

a = -19

So, the required value of a & b are 10 & -19 respectively .

6 0
2 years ago
What is the value of x?
rewona [7]

Vertical angles are equal

so

4x + 7 = 5(x - 4)

4x + 7 = 5x - 20

5x - 4x = 7 + 20

x = 27

5 0
3 years ago
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