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Nezavi [6.7K]
3 years ago
11

Please help me with this problem

Mathematics
1 answer:
forsale [732]3 years ago
4 0
None of the answers about
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The expression ax - 8x² + bx + 6 is exactly divisible by
NARA [144]

Answer:

a = 3;  b = -5

Step-by-step explanation:

x² -2x-3=(x-3)(x+1)

As  it divides p(x); P(3) = 0 and P(-1) =0

P(x)= ax³ - 8x² + bx + 6

P(3) = 3³a - 8*9 + 3b + 6 =0

27a - 72 + 3b + 6 = 0

27a + 3b -66 =0

27a + 3b = 66 ------------------(i)

P(-1) = -a -8*(-1)² + b* (-1) + 6 = 0

-a - 8 -b + 6 = 0

-a - b -2 = 0

-a -b = 2    --------(ii)

(i) -------    27a + 3b = 66

(ii)*3          -3a  -3b = 6

Add            24a      = 72

                       a = 72/24

                       a = 3

Substitute a value in (ii)

-3 - b= 2

 -b = 2+3

-b= 5

b = -5

5 0
4 years ago
A model of a car uses a scale of 2 1/4 inches = 3 feet. If the model is 14 inches long, what is the actual length of the car?
MatroZZZ [7]

Answer:

36" / 2.25"  * 14 = 16 * 14" = 224 inches =

18.666666 feet = 18 feet 8 inches

Step-by-step explanation:

6 0
4 years ago
What number is greater than -8 and less than 0.
Verizon [17]
-7,-6,-5,-4,-3,-2,-1
6 0
3 years ago
Old McDonald has 21 animals on his farm. Some are cows and some are chickens. The animals have a total of 66 legs. Write and sol
inn [45]

Answer:

U would divide 21 by 66

4 0
3 years ago
One fifth of the sum of a number and -3 is twice the number
aleksley [76]

Answer:

x = \frac{-1}{3}

Step-by-step explanation:

Let the number be x.

\frac{1}{5} (x - 3) = 2x\\

x - 3 = 10x

9x = -3

x = \frac{-1}{3}\\

6 0
3 years ago
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