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2 years ago

A printer makes more than 3 copies of a book every hour which graph represents the number of books made in 4 hours

Mathematics

1 answer:

alexandr402 [8]2 years ago

4 0

Answer:

Step-by-step explanation:

The answer is graph D because in the word problem it says, "more than three copies". We can also see that we need to find how many copies are made in 4 hours. Since it says more than and we do not have another number, we will multiply 3 and 4.

3 x 4 = 12

This is a line graph. An enclosed circle on a number would mean that this line includes the number. This circle is open, not enclosed so 12 is not a part of the line for graph D.

Since it says more than, this open circle makes sense, because it was more than 3 books, but not 4 books. This means it can range anywhere after 3. (examples: 3.1 books, 3.5 books, 3.8 books) this means it can also range anywhere after twelve.

This combined shows us that graph D is the answer.

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The length of a rectangle is represented by the function L(x) = 5x. The width of that same rectangle is represented by the funct

Mazyrski [523]

Remember that the area of a rectangle is the length of the rectangle multiplied by the width of the rectangle.

In this case, we could say (where $A(x)$ is the area of the rectangle):

$A(x) = L(x) \cdot W(x)$

Substituting the values the problem gave us for $L(x)$ and $W(x)$ , we can find the formula for $A$ in terms of $x$ , which is:

$A(x) = (5x) \cdot (2x^2 - 4x + 13) = (10x^3 - 20x^2 + 65x)$

The formula for the area of the rectangle would be A(x) = 10x³ - 20x² + 65x.

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3 years ago

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boyakko [2]

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Step-by-step explanation:

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2 years ago

The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1. Where is the vertex of the function located?

egoroff_w [7]

Answer:

(1, 3)

Step-by-step explanation:

You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola. The first few steps are as follows. Set the parabola equal to 0 so you can solve for the vertex. Separate the x terms from the constant by moving the constant to the other side of the equals sign. The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out). Let's start there. The first 2 steps result in this polynomial:

$-2x^2+4x=-1$ . Now we factor out the -2:

$-2(x^2-2x)=-1$ . Now we complete the square. This process is to take half the linear term, square it, and add it to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. We add 1 into the set of parenthesis. But we actually added into the parenthesis is +1(-2). The -2 out front is a multiplier and we cannot ignore it. Adding in to both sides looks like this:

$-2(x^2-2x+1)=-1-2$ . Simplifying gives us this:

$-2(x^2-2x+1)=-3$

On the left we have created a perfect square binomial which reflects the h coordinate of the vertex. Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:

$-2(x-1)^2+3=y$