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Leto [7]
1 year ago
14

Match the following items.

Mathematics
1 answer:
Misha Larkins [42]1 year ago
5 0

Based on the points on the graph, the correct matches are:

  • A - (-4, -2).
  • B - .(2, -4)
  • C - (4, -2).
  • D - (2, 5)
  • E - (-1, 1)
  • F - (-5, 0)
  • G - (4, 2)
  • H - (0, -5)

<h3>How are points located on a graph?</h3>

To find a point, you need to look at the x-axis first and then the y-axis.

Find where the point is located on the x-axis, and then look for where the point intersects with the y-axis point.

For instance, the point A is located at (-4, -2) so look at the -4 point on the x axis, then go down to the -2 point on the y-axis. You'll find point A.

Find out more on the coordinates of points on graphs at brainly.com/question/11337174.

#SPJ1

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Find the value of x for which the function y = x5-x³ + x² - 1 has a local minimum.
melisa1 [442]

The given function presents a local minimum in the coordinates (0,-1).

<h3>Factoring</h3>

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization.  One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

For solving this question, the given equation should be rewritten  from the factoring.

x^5-x^3+x^2-1=\left(x+1\right)^2\left(x-1\right)\left(x^2-x+1\right)=0. Then, you have 3 equations.

From the Zero Factor Principle, you can write

Equation 1

(x+1)²=0

x+1=0

x= -1

Equation 2

x-1=0

x=1

Equation 3

x²-x+1=0

x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\ \\ x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{3}i}{2\cdot \:1}

From these points it is possible to plot a graph and you can see that the local minimum presents the coordinates (0,-1).

Read more about the factoring here:

brainly.com/question/11579257

#SPJ1

7 0
2 years ago
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