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PilotLPTM [1.2K]
3 years ago
14

Jing bought 4 cans of paint and 1/2 of a pint of special paint additive formulated to reduce mildew. Before painting his house,

he divided the additive equally among the 4 cans of paint. How much additive did he put in each can?
Mathematics
2 answers:
Paul [167]3 years ago
6 0

Answer: There is 8 additive he can put in each can.

Step-by-step explanation:

Since we have given that

Number of cans = 4

Part of a pint of special paint add to reduce mildew = \dfrac{1}{2}

We need to find the additive that he put in each can.

So, the number of additive would be

4\div \dfrac{1}{2}\\\\=4\times 2\\\\=8

Hence, there is 8 additive he can put in each can.

xeze [42]3 years ago
5 0
Half of pint = 1 cup / 8oz
8 ÷ 2=2
2 oz per bucket
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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

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<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

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f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

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

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

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Step-by-step explanation:

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