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ch4aika [34]
3 years ago
10

given the equation y=-2x^2+1. determine the direction of opening, coordinates of the vertex, Maximum or minimum value and the ax

is of symmetry
Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0
The sign of the term in x^2 is negative  so the graph will open downwards.
when x = 0 y = 1
The coordinates of the vertex are (0,1)
the maximum value of the function is 1
and the axis of symmetry ix x = 0 (  the y axis)
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Evaluate the expression when x= -3.<br> x² – 7x+6
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Answer:

-6

Step-by-step explanation:

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7 × -3 =-21

9 - 21 +6 = -6

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Solve the expression 3a+5 when a=6
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The production cost, represented by y, of smart phone devices are equal to the product of computing components (a) and the squar
Marta_Voda [28]

The production cost is an illustration of a quadratic function

<h3>How to determine the equation</h3>

We have the following parameters:

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  • Number of devices (x),
  • Labor (b)
  • Savings on reusable material (c)

Using the instructions in the question, the equation of the production cost would be:

y =ax^2 + bx -c

Hence, the production cost is y =ax^2 + bx -c

<h3>Change the subject of the equation</h3>

In (a), we have:

y =ax^2 + bx -c

Subtract bx - c from both sides

y - bx + c = ax^2

Divide through by x^2

a = \frac{y - bx + c}{x^2}

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Read more about equations and functions at:

brainly.com/question/1214333

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The product of 4 and a number f decreased by 2 is 15
Debora [2.8K]

Answer:  The number is:  "2 " .

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Step-by-step explanation:

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Write the expression; which is an equation, as follows:

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    " 4x − 12 = 2(-x) " ;  in which "x" represents "the number for which we shall                                       solve" .

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Note:  

If the "number" = "x" ;  the "opposite of the number"  =  " -x " ;

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Rewrite as:  " 4x − 12 = -2x " ;

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    →  Add "12" ; & add "2x" ; to EACH SIDE of the equation:

                     4x − 12 + 12 + 2x = -2x + 12 + 2x ;

          to get:    6x  = 12  ;

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Now, divide each side of the equation by "6" ;

    to isolate "x" on one side of the equation; & to solve for "x" ;

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                        6x / 6  =  12 / 6 ;

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Answer:  The number is:  "2 " .

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Let us check our answer, by plugging in "2" for "x" in our original equation:

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       →   " 4x − 12 = 2(-x) " ;

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       →   " 4(2) − 12 = ?  2(-2) ??

       →    8 − 12 = ?  -4 ? ;

       →    -4 = ? -4 ??  Yes!

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