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In-s [12.5K]
3 years ago
15

The axis of symmetry for this parabola Y equals -5xsquared plus 10x-14

Mathematics
1 answer:
seraphim [82]3 years ago
4 0

Answer:

X=1

Step-by-step explanation:

Solve for the vertex of the parabola: (v)

The axis of symmetry for a parabola will always be x=v.

Graphing the function shows the vertex at (1,-9) so the line denoting the axis of symmetry will be x=1.

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Read 2 more answers
Show that 5x^2 + 2x - 3 < 0 can be written in the form | x + 1/5 | < 4/5
Sliva [168]

Step-by-step explanation:

First let solve the inequality

5 {x}^{2}  + 2x - 3 < 0

Factor by grouping

5 {x}^{2}  + 5x - 3x - 3 < 0

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So the factor are

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So the factor are

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and

x =  - 1

Solutions to a quadratic can be represented by a absolute value equation because remeber quadratics

creates 2 roots and/or double roots.

The inequality

|x - b|   <  c

works as

b is the midpoint between 2 roots. And c is the

|x + b|  = c

We know that the midpoint between both roots is-1/5.

so

|x - ( -  \frac{1}{5} )|  < c

|x +  \frac{1}{5} |  < c

Let use roots 3/5

| \frac{3}{5}  +  \frac{1}{5} |  =  \frac{4}{5}

-1 works as well.

| - 1 +  \frac{1}{5} |  =   |   -   \frac{4}{5} |  =  \frac{4}{5}

So the absolute value equation is

|x +  \frac{1}{5} |  <  \frac{4}{5}

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If JK = 18 and KL = 9, what is JL?​
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