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victus00 [196]
2 years ago
14

the senior class at high school A rented and filled 12 vans and 3 buses with243 students. high school B rented and filled 4 vans

and 4 buses with 204 students. each van and each bus carried the same number of students. Find the number of students in each van in each bus.
Mathematics
1 answer:
bezimeni [28]2 years ago
5 0
12v + 3b = 243
4v + 4b = 204....multiply by -3
-------------------
12v + 3b = 243
-12v - 12b = - 612 (result of multiplying by -3)
-------------------add
-9b = - 369
b = -369/-9
b = 41 <=== each bus holds 41 students

4v + 4b = 204
4v + 4(41) = 204
4v + 164 = 204
4v = 204 - 164
4v = 40
v = 40/4
v = 10 <== each van holds 10 students

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investments historically have doubled every 9 years. If you start will a $2,000 investment, how much money would you have after
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7 0
2 years ago
Use the remainder theorem to find P (3) for P(x) = 2x² - 4x^2- 3.
ladessa [460]

Answer:

P(2) = 4

Step-by-step explanation:

P(X) = -2X4 + 4X3 - X + 6

Use the remainder theorem to find quotient and remainder and the value of P(2)

 

First add in any missing exponents:  P(x) = -2x4 + 4x3 + 0x2 -x + 6

 

Write all the coefficients in a line (including the constant) with the number being solved for off to the left:

 

Bring down the first coefficient (-2), multiply it by the term in question (2), carry the product up under

the 2nd coefficient and then add down (4-4=0), carry up the sum and repeat process across.  The last

sum is the answer for P(2)

 

 

(2)   -2    4    0    -1    6

            -4    0      0  -2

      __________________

       -2   0    0     -1   4

 

P(2) = 4

 

check the answer:  P(2) = -2(24) + 4(23) -2 + 6 = -2(16) +4(8) + 4 = 4    Our answer is correct

 

The quotient is what we would bet by dividing the original equation by the polynomial (x-2). The

answer is given by the bottom numbers which will begin an one lower exponent than the original.

Quotient is:   -2x3 + 0x2 + 0x -1 = 2x3 - 1

The remainder is:   4/(x-2)

6 0
3 years ago
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