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romanna [79]
3 years ago
12

State the vertex and axis of symmetry of the graph of y=ax2+c.

Mathematics
2 answers:
const2013 [10]3 years ago
6 0

in vertex form

y=a(x-h)^2+k

the vertex is (h,k) and the axis of symmetry is x=h


put into vertex form

y=ax^2+c

y=a(x)^2+c

y=a(x-0)^2+c

h=0, k=c

the vertex is (0,c)

the axis of symmetry is x=0

Neporo4naja [7]3 years ago
3 0

State the vertex and axis of symmetry of the graph of y=ax^2+c

General form of quadratic equation is y=ax^2 + bx +c

There is no bx in our given equation, so we put 0x

Given equation can be written as y=ax^2 + 0x +c

a=a , b=0

Now we use formula to find vertex

x=\frac{-b}{2a}

x=\frac{-0}{2a}=0

Now we plug in 0 for 'a' and find out y

y=a(0)^2 + 0x +c= c

So our vertex is (0,c)

The axis of symmetry at x coordinate of vertex

So x=0 is our axis of symmetry


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How many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixe
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The amount of cashew mixed is 5 pounds

<h3>Word problem on total cost</h3>

Cost of 1 pound of cashew = $14

Cost of 1 pound of peanut = $6.50

Total cost of 1 pound of the mixed nuts = $10.25

Cost of 5 pounds of peanuts = 5 x $6.50

Cost of 5 pounds of peanuts = $32.50

Let the amount of cashew  be x

Total cost of x cashew = 14x

Total amount of the mixed nuts = x + 5

Total cost of the mixed nuts = 10.25(x+5)

Total cost of the mixed nuts = 10.25x + 51.25

14x  +  32.50  =  10.25x  +  51.25

14x - 10.25x  =  51.25  -  32.50

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x  =  18.75/3.75

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Learn more on word problem on cost here: brainly.com/question/21405634

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8 0
2 years ago
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A rug is shaped like a rectangle whose perimeter is 276276 ftft. the length is 5 times as long as5 times as long as the width. f
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Length = 5w

Given,

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the information about event B and even numbers is irrelevant for the question.

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