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rewona [7]
3 years ago
11

Substitute x=-2y into the expression 6x-7 and simplify

Mathematics
2 answers:
Korolek [52]3 years ago
5 0

Answer:

-12y - 7

Step-by-step explanation:

x = -2y

6x - 7 or 6(-2y) - 7

-12y - 7

jarptica [38.1K]3 years ago
4 0

Answer:-12y -7

Step-by-step explanation: I think

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If (x^2 - 1) is a factor of ax^4 + bx^3 + cx^2 + dx + e, show that a + c + e = b + d = 0
alisha [4.7K]
x^2-1=x^2-1^2=(x-1)(x+1)

If x²-1 is a factor of the polynomial, both x-1 and x+1 are factors of it.

According to the remainder theorem, if a binomial x-a is a factor of a polynomial p(x), then p(a)=0.

If x-1 and x+1 are factors of the polynomial p(x)=ax⁴+bx³+cx²+dx+e, then p(1)=0 and p(-1)=0.

p(1)=a \times 1^4+b \times 1^3 + c \times 1^2+ d \times 1+e \\
p(-1)=a \times (-1)^4 + b \times (-1)^3 + c \times (-1)^2 + d \times (-1)+e \\ \\
p(1)=a+b+c+d+e \\
p(-1)=a-b+c-d+e \\ \\
p(1)=0 \\
p(-1)=0 \\ \\ \hbox{add both equations:} \\
a+b+c+d+e=0 \\
\underline{a-b+c-d+e=0} \\
2a+2c+2e=0 \\
2(a+c+e)=0 \\
a+c+e=0 \\ \\
\hbox{substitute 0 for a+c+e in the first equation:} \\
a+b+c+d+e=0 \\
(a+c+e)+b+d=0 \\
0+b+d=0 \\
b+d=0 \\ \\
\boxed{a+c+e=b+d=0} \\
\hbox{proved } \checkmark
8 0
3 years ago
PLSS I NEED HELPPP .
Sidana [21]

Answer:

yes

Step-by-step explanation:

...........................

5 0
3 years ago
Please help! WILL MARK BRAINLY
kodGreya [7K]

Answer:

D above and to the left

Step-by-step explanation: The origin is in the center of a grid so going left and up will put you in quadrant 2 where x is negative and y is positive


8 0
4 years ago
A deck of 14 cards numbered 1 through 14 is dealt to Ken and Gunther so that each gets 7 cards. Each player's score is the sum o
aliya0001 [1]

Answer:

The different winning scores possible are 25 (from 28 to 52).

Step-by-step explanation:

  • The minimum score obtained by a player will be 28.

since, we divide 1-7 numbered to one and 8-14 to the other player such that    one receives the maximum and the other receives the minimum.

 the least minimum possibility is :28 as one get the card as(1,2,3,4,5,6,7).

while the other player gets 77 sum and loses.

  • for increasing this score now we give the number 1,2,3,4,5,6,8 to one of the player so that they sum upto 29 and will get the minimum score and wins while the other player gets 76 sum with the help of numbers{9,10,11,12,13,14,7} and loses.
  •    next possible minimum sum to win will be 30 by assigning 1,2,3,4,5,6,9 whereas the other gets the sum 75 and loses.
  • continuing in the same way we see that the minimum sum obtained to win will be 52( by assigning 2,3,6,7,9,12,13) while the other gets the sum 53 and loses.

    Hence, there are total 25 winning scores possible.  (from 28 to 52 i.e. 52-28=25).




4 0
3 years ago
Le help wanted for variables part two
disa [49]
The coefficient for the first question is c and the coefficient for the second question is gh
3 0
3 years ago
Read 2 more answers
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