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3 years ago

Which of the following functions will have a graph with an axis of symmetry at x=1 and an intercept at the origin?

Mathematics

1 answer:

zlopas [31]3 years ago

4 0

I think the correct answer is b

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Y=-6x^2+100x-180

Hunter-Best [27]

In the figure we have the graphic of this equation. So, the vertex is the maximum of this function. This point means that the maximum daily profit from soccer balls is:

 $y = 236.67$

And this happens when the selling price of each soccer ball is:

 $x = 8.33$

So if you want to get the best daily profit, this is the price you must sell each soccer ball.

4 0

3 years ago

Read 2 more answers

Find the area of the figure.

AURORKA [14]

Answer:

28.5 united squared

5 0

3 years ago

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Solve z ÷ (–7) = –1. A. 7 B. -7 C. 1/7 D. 6

aalyn [17]

Answer:

A. 7

Step-by-step explanation:

z ÷ (–7) = –1.

multiply each side by -7

z ÷ (–7)*-7 = –1.*-7

z = 7

6 0

3 years ago

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How do you solve an absolute value equation?

Mkey [24]

The distance between two real numbers $x,y$ is the absolute value of their difference, $|x-y|$ . So the statement "all $x$ that are 1/4 away from -6" is captured in the equation

$|x-(-6)|=\dfrac14$

$|x+6|=\dfrac14$

To solve, you can use the definition of absolute value: if $x$ is not negative, then $|x|=x$ ; otherwise, $|x|=-x$ .

So there are two cases to consider:

1. Suppose $x+6\ge0$ . Then $|x+6|=x+6$ , and the equation reduces to

$x+6=\dfrac14\implies x=-\dfrac{23}4$

2. Suppose $x+6$ . Then $|x+6|=-(x+6)=-x-6$ and

$-x-6=\dfrac14\implies x=-\dfrac{25}4$

$-6=-\dfrac{24}4$ , so the two solutions we found are correct because both $-\dfrac{23}4$ and $-\dfrac{25}4$ are indeed 1/4 away from -6.

- - -

For the question regarding inequality, you know that the absolute value must return a non-negative number. In other words, there is no $x$ such that $|x|$ .