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Serjik [45]
3 years ago
5

A line passes through the point (10,3)

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0
We have to find b first:

3 = -3/2(10)+b
3 = -15+b
18 = b

Now right the equation, your slope will be the same one....

Y = -3/2x + 18
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Translate the algebraic expression in written language: 9 - x²​
Assoli18 [71]

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8 0
3 years ago
Find a formula for the given polynomial.
levacccp [35]

In this question, we have to identify the zeros of the polynomial, along with a point, and then we get that the formula for the polynomial is:

p(x) = -0.5(x^3 - x^2 + 6x)

------------------------

Equation of a polynomial, according to it's zeros:

Given a polynomial f(x), this polynomial has roots such that it can be written as: , in which a is the leading coefficient.

------------------------

Identifying the zeros:

Given the graph, the zeros are the points where the graph crosses the x-axis. In this question, they are:

x_1 = -2, x_2 = 0, x_3 = 3

Thus

p(x) = a(x - x_{1})(x - x_{2})(x-x_3)

p(x) = a(x - (-2))(x - 0)(x-3)

p(x) = ax(x+2)(x-3)

p(x) = ax(x^2 - x + 6)

p(x) = a(x^3 - x^2 + 6x)

------------------------

Leading coefficient:

Passes through point (2,-8), that is, when x = 2, y = -8, which is used to find a. So

p(x) = a(x^3 - x^2 + 6x)

-8 = a(2^3 - 2^2 + 6*2)

16a = -8

a = -\frac{8}{16} = -0.5

------------------------

Considering the zeros and the leading coefficient, the formula is:

p(x) = -0.5(x^3 - x^2 + 6x)

A similar problem is found at brainly.com/question/16078990

4 0
3 years ago
Read 2 more answers
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