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seraphim [82]
1 year ago
6

7. What are the x- and y-intercepts for -x + 2y = 8?

Mathematics
1 answer:
Nataly_w [17]1 year ago
4 0

Answer:

the answer

Step-by-step explanation:

the answer is A

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The population of Metsville is 1,274 people less than the population of Eden. If the population of Eden is 9,021 people, what is
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7,747

Step-by-step explanation:

9,021-1,274=7,747

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Brainly for step by step correct answer ❤️
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6×4=24+5=29 inches squared
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We are interested in the dimensions of a certain square a rectangle had length triple the side of this square and width two unit
Sphinxa [80]

Let s be the side length of the square. The dimensions of the rectangle are three times the side of the square (i.e. 3s), and two less than the side of the square (i.e. s-2).

So, the area of this rectangle is

3s(s-2)=3s^2-6s

The area of the square is s^2, and we know that the two areas are the same, so we have

3s^2-6s=s^2 \iff 2s^2-6s=0 \iff 2s(s-3)=0 \iff s=0 \lor s=3

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3 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
F(2) if f(x) = 2x - 5
Licemer1 [7]

Answer:

The answer is 4.

Step-by-step explanation:

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