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Vinvika [58]
4 years ago
14

It takes 48,000 gallons of paint each year to paint a large bridge. Each of the 12 painting crews use the same amount of paint.

Mathematics
2 answers:
scoray [572]4 years ago
3 0
Very simple: 48000 divided by 12=4000
4000
x  12
------------
48000
tekilochka [14]4 years ago
3 0
Each crew uses 4,000 gallons of paint. 48000 divided by 12 equals 4000
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3 years ago
What is the standard form given the vertex (-3,3) and the focus point (-3,2)
baherus [9]

Answer:

y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}

Step-by-step explanation:

The standard form of a parabola is written as

y=ax^2+bx+c

where a, b and c are the coefficients of the second-degree, first degree and zero-degree terms.

The coordinates of the vertex of a parabola is given by:

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

y_b=c-\frac{b^2}{4a}

The coordinates of the focus instead are given by

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

y_f=y_b+\frac{1}{4a}

In this problem, we know the coordinates of the vertex and of the focus point:

Vertex: (-3,3)

Focus point: (-3,2)

So we have:

x_b=-3=-\frac{b}{2a} (1)

y_b=3=c-\frac{b^2}{4a} (2)

y_f=2=y_b+\frac{1}{4a} (3)

From eq.(1) we get

2a=\frac{b}{3} (4)

Substituting into (2),

3=c-\frac{b^2}{2(b/3)}\\3=c-\frac{3}{2}b\\c=3+\frac{3}{2}b(5)

Now rewriting eq.(3) as

2=y_b+\frac{1}{4a}\\2=(c-\frac{3}{2}b)+\frac{1}{4a}

And substituting (4) and (5) into this, we can find b:

2=((3+\frac{3}{2}b)-\frac{3}{2}b)+\frac{1}{2(b/3)}\\2=3+\frac{3}{2b}\\-1=\frac{3}{2b}\\b=-\frac{3}{2}

Then we can find a and c:

2a=\frac{b}{3}\\a=\frac{b}{6}=\frac{-3/2}{6}=-\frac{1}{4}

And

c=3+\frac{3}{2}b=3+\frac{3}{2}(-\frac{3}{2})=3-\frac{9}{4}=\frac{3}{4}

So the parabola is

y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}

4 0
4 years ago
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lesya [120]

Answer:2

Step-by-step explanation:

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3 years ago
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Answer:

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