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beks73 [17]
3 years ago
9

I need some help on this

Mathematics
1 answer:
Len [333]3 years ago
3 0

Answer:

Step-by-step explanation:

Point of intersections of the graph with x-axis are not clear.

Let these points are x = -a, -b and c

Therefore, function representing the graph will be,

f(x) = p(x + a)(x + b)(x - c)

Since, this graph crosses y-axis at (0, -6),

f(0) = p(0 + a)(0 + b)(0 - c) = -6

-pabc = -6

p = \frac{6}{abc}

Therefore, equation of the given function will be,

f(x) = \frac{6}{abc}(x+a)(x+b)(x-c)

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What is the equation of the line, in slope-intercept form, passing through (0,7) and parallel to y=3x−5?
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8 0
3 years ago
when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.
sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = a^2

6 is subtracted from the square of a number = a^2 - 6

5 times the number = 5 \times a

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation ax^2 + bx + c = 0 where a \neq 0

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here in this problem,

a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6

Substituting the values in above quadratic formula, we get

\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}

We have two solutions for "a"

\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}

<h3>a = 6 or a = -1</h3>

We have asked negative solution. So a = -1

Thus the negative solution is -1

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Step-by-step explanation:

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8 0
3 years ago
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