2 years ago

Solve the system of linear equations. separate the x- and y- values with a coma. -9x+2y=-7

Mathematics

1 answer:

Iteru [2.4K]2 years ago

5 0

Y = 1, x = 1 hope this helps!

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The polynomial of degree 3, P(x), has a root of. multiplicity 2 at x=1 and a roof of multiplicity 1 at x= -3. the y- intercept i

Stella [2.4K]

$P(x)$ has degree 3, so it takes the general form

$P(x)=ax^3+bx^2+cx+d$

It has a root $x=1$ of multiplicity 2, which means $(x-1)^2$ divides $P(x)$ exactly, and it has a root of $x=-3$ of multiplicity 1 so that $x+3$ also is a factor. So

$P(x)=a(x-1)^2(x+3)$

Expanding this gives

$P(x)=a(x^3+x^2-5x+3)=ax^3+ax^2-5ax+3a$

$\implies\begin{cases}a=b\\-5a=c\\3a=d\end{cases}$

The $y$ -intercept occurs for $x=0$ , for which we have

$P(0)=d=2.1$

Then

$3a=d\implies a=0.7$

$a=b\implies b=0.7$

$-5a=c\implies c=-0.14$

So we have

$\boxed{P(x)=0.7x^3+0.7x^2-0.14x+2.1}$

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2 years ago

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Select all line segment measurements below that could NOT be used to form a triangle. a triangle with the side measurements of 3

KonstantinChe [14]

Answer:

a triangle with the side measurements of 5, 5, and 5 inches

Step-by-step explanation:

a^2+b^2=c^2

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2 years ago

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Simplify 2a + 14 - 5a - 7 + 8a

Dmitry_Shevchenko [17]

Step-by-step explanation:

2a -5a +8a.

2a +8a -5a

10a -5a = 5a

14-7=7

<em>Answer=5a+7</em>

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2 years ago

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36x^3a+45xa^2=9xa( ) complete the statement.

Dafna1 [17]

9xa is the common factor.

You can complete the statement by dividing the two terms of the expression of the left side by 9xa, and you will get:

36x^3a + 45xa^2 = 9xa ( 4x^2 + 5a)

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3 years ago

) use the midpoint rule with m= 4 and n = 2 to estimate the value of

Aneli [31]

What is the complete question?

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2 years ago