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3 years ago

What the equation of this graph?? I need help

Mathematics

1 answer:

yuradex [85]3 years ago

6 0

X = 3

and

formula -

(y-y1)/(x-x1) = (y2-y1)/(x2-x1)

(x1,y1) = (4,1)
(x2,y2) =( 5,3)

(y-1)/(x-4) = (3-1)/(5-4)

y-1/x-4 = 2/1

y-1 = 2x - 8

y = 2x - 7

the solution will be x= 3 and y = -1

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Rewrite the quadratic function in vertex form.<br> Y=3x^2-12x+4

chubhunter [2.5K]

Answer:

$\large\boxed{y=3(x-2)^2-8}$

Step-by-step explanation:

The vertex form of an equation of a parabola y = ax² + bx + c:

$f(x)=a(x-h)^2+k$

(h, k) - vertex

$h=\dfrac{-b}{2a},\ k=f(h)$

We have the equation:

$y=3x^2-12x+4\\\\a=3,\ b=-12,\ c=4$

Substitute:

$h=\dfrac{-(-12)}{2(3)}=\dfrac{12}{6}=2\\\\k=f(2)=3(2^2)-12(2)+4=3(4)-24+4=12-24+4=-8$

Finally:

$y=3(x-2)^2+(-8)=3(x-2)^2-8$

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3 years ago

Simon pays $9 for 6 visits to swim at the community pool. He pays $18 for 12 visits to swim. How much does it cost for each visi

sergij07 [2.7K]

Answer:

$1.50

Step-by-step explanation:

If you do cost per quantity you would get $9 over 6 visits. Then you divide both sides by 6 because to get to one by 6 it's 6 so when you divide both sides by 6 you would get 1.5 over 1 and all you do is add a zero because you're dealing with money

Hope this helps :)

8 0

3 years ago

A rectangular tank measures 30 cm by 20 cm by 40 cm. How many milliliters of water are in the tank when it is full? How many lit

mario62 [17]

Answer:

24000 cm³ or 24 L

Step-by-step explanation:

The measure of a tank is 30 cm by 20 cm by 40 cm.

We need to find the volume of water in the tank when it is full.

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1 cm³ = 1 ml

24000 cm³ = 24000 mL

Also, 1 cm³ = 0.001 ml

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Hence, this is the required solution.

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3 years ago

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3 years ago

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3 years ago