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kicyunya [14]
3 years ago
10

2. Amita decides that she wants the molds to have a

Mathematics
1 answer:
VLD [36.1K]3 years ago
4 0

Answer:

amita can only use and it is only 2

2

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Joan bought a soft drink for 3 dollars and 8 candy bars. She spent a total of 43 dollars. How much did each candy bar cost? Whic
Oksana_A [137]

Answer:

each candy bar cost 5 dollars

Step-by-step explanation:

first the drink cost 3 dollars so take that away from the total and you have 40. then do 40 divided by the 8 candy bars and you get 5. Which means that each candy bar cost 5 dollars

8 0
3 years ago
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
What is the solution set of the given equation?<br> 4y - 6y + 9y = -2
maw [93]
4y - 6y + 9y = -2
      -2y + 9y = -2
               7y = -2
                7      7
                 y = ⁻²/₇
8 0
3 years ago
Read 2 more answers
Name at least two independent variables that could result in a change in a monthly electric bill.
Olin [163]

Answer:

The non-production machinery that uses electricity, the physical size of the items, the skill level of the operators, and the outdoor temperature and humidity could all be independent variables in the monthly electricity cost. Step-by-step explanation.

4 0
2 years ago
7b - 3 = 6b + 4 how do I solve it for B
mixas84 [53]

Answer:

b = 7

Step-by-step explanation:

7b - 3 = 6b + 4

1. subtract 6b on both sides of the equation

b - 3 = 4

2. add 3 to both sides

b = 7

3 0
3 years ago
Read 2 more answers
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