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Bumek [7]
3 years ago
10

Need help with this maybe question

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
6 0

Answer:

the vertex is:

(2, -1)

Step-by-step explanation:

First solve the equation for the variable y

x^2-16y-4x-12=0

Add 16y on both sides of the equation

16y=x^2-16y+16y-4x-12

16y=x^2-4x-12

Notice that now the equation has the general form of a parabola

ax^2 +bx +c

In this case

a=1\\b=-4\\c=-12

Add (\frac{b}{2}) ^ 2 and subtract (\frac{b}{2}) ^ 2 on the right side of the equation

(\frac{b}{2}) ^ 2=(\frac{-4}{2}) ^ 2

(\frac{b}{2}) ^ 2=(-2) ^ 2

(\frac{b}{2}) ^ 2=4

16y=(x^2-4x+4)-4-12

Factor the expression that is inside the parentheses

16y=(x-2)^2-16

Divide both sides of the equality between 16

\frac{16}{16}y=\frac{1}{16}(x-2)^2-\frac{16}{16}

y=\frac{1}{16}(x-2)^2-1

For an equation of the form

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

the vertex is: (h, k)

In this case

h=2\\k =-1

the vertex is:

(2, -1)

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Please help on this please thank you
Kamila [148]

30% = 0.3

Since 30% of 90 is 27, the average person uses approximately 27 gallons of water outdoors per day.

Solution:

To write percent to decimal, divide the number by 100.

$30\%=\frac{30}{100}

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Average use of water each day = 90 gallons

30\%  \ \text{of} \ 90=0.3 \times 90

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Since 30% of 90 is 27, the average person uses approximately 27 gallons of water outdoors per day.

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Step-by-step explanation:

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Step-by-step explanation:

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Aleonysh [2.5K]

In order to draw x ≤ -10 on a number line, first draw a closed dot at -10. This is because we have a ≤ and not a <. If we had a <, it would be an open dot.

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