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Annette [7]
3 years ago
13

Which of the following statements are true about the equation below?

Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0
Given: x^2 - 6x + 2


Statements:

1) The graph of the quadratic equation has a minimum value:TRUE. WHEN THE COEFFICIENT OF X^2 IS POSITIVE THE PARABOLA OPEN UPWARDS AND ITS VERTEX IS THE MINIMUM.

2) The extreme value is at the point (3 , - 7): TRUE

You have to find the vertex of the parabola:

x^2- 6x + 2 = (x - 3)^2 - 9 + 2 = (x - 3)^2 - 7 => vertex = (3, -7)

3) The extreme value is at the point (7, -3): FALSE. THE RIGHT VALUE WAS FOUND IN THE PREVIOUS POINT.

4) The solutions are x = - 3 +/- √7. FALSE.

Solve the equation:

(x - 3)^2 - 7 = 0 => (x - 3)^2 = 7 => (x - 3) = +/- √7 => x = 3 +/- √7

5) The solutions are x = 3 +/- √7. TRUE (SEE THE SOLUTION ABOVE).

6) The graph of the quadratic equation has a maximum value: FALSE (SEE THE FIRST STATEMENT).
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Find the intersection of the three sets: A = {–4, 3, 10}, B = {3, 6, 10, 15}, C = {–4, 10, 20}
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3 years ago
Which expressions are equivalent to 3x
musickatia [10]

x is powering both numbers so it can be outside the parenthesis.

We have given that 3^x.

<h3>What is the expression?</h3>

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

The first one isn't an answer because 3^x is exponential while x^3 is a cubic function.

If you draw them you will see that they are very different.

B is correct because we can divide both numerator and denominator by 6 and we get 3^x.

C is not correct because x is not powering 3 so we cannot divide both by 6D is correct because 3^(x-1) is the same as

and when multiplied by 3 we get 3^x

3^x*3^(-1) = 3^x/3

E is not correct.

will understand after the explanation in DF is correct.

x is powering both numbers so it can be outside the parenthesis.

The question is incomplete the complete question is,

Which expressions are equivalent to the one below? Check all that apply.

3^x

A. x^3

B.(18/6)^x

C.18^x/3

D.3(3^(x-1))

E.3(3^(x+1))

F.18^x/6^x

To learn more about the  expression visit:

brainly.com/question/723406

#SPJ1

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2 years ago
Two angles of a triangle measures of 70° and 85° which is not the measure of an exterior angle of the triangle
SSSSS [86.1K]
I hope this helps you

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3 years ago
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