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DanielleElmas [232]
4 years ago
5

Rufus collected 18 pounds of

Mathematics
1 answer:
RoseWind [281]4 years ago
8 0

Answer:

12

Step-by-step explanation:

collected can=18pound

total can to collect=42

collected can per week=2

now,

42-18 =24

so, remaining cans to collect is 24pound

and,

24/2

=12

so, Rufus have to collect for 12 weeks for 42pound of cans in total

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Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.
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Refer the attached figure for the graphic representation of the given quadratic equation.

<u>Step-by-step explanation:</u>

Given expression:

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To find:

  The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

  y=a x^{2}+b x+c

When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is x=\frac{-b}{2 a}

By applying the values, the axis of symmetry of given equation is

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The vertex form of quadratic equation is f(x)=a(x-h)^{2}+k

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

f(x)=x^{2}-8 x+24

f(x)=\left(x^{2}-2(4) x+4^{2}\right)-4^{2}+24

f(x)=(x-4)^{2}+8

On comparison,

(h , k) = (4 , 8)

Now, plot the equation with vertex (4,8) [refer attached figure].

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Step-by-step explanation:

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3 years ago
If ∠ ACD = (5y + 3)o and ∠ DCB = (2y - 5)o , what is the value of y?
Scilla [17]

The value of y is 26.

<u>Step-by-step explanation:</u>

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A pair of linear angles added to produce 180 degrees.

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