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3 years ago

The graph shows the cost per day of electricity over a seven-day period.

Mathematics

2 answers:

STatiana [176]3 years ago

7 0

From the given diagram we can see that, on an average, as the variable x increases, the variable y decreases.

We also know that Negative correlation is a relationship between two variables in which one variable increases as the other decreases, and vice versa.

Thus, from the above two paragraphs it is clear that the graph which shows the cost per day of electricity over a seven-day period, presents, on an average, a Negative Correlation the dependent and the independent variables.

Darina [25.2K]3 years ago

5 0

A. Negative. You’re welcome

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Match each expression to its equivalent standard form.

Aleksandr [31]

Let's expand the products they are all in the form

$(a+b)(a-b)=a^2-b^2$

For the first one we have a=x and b=2i:

$(x+2i)(x-2i)=x^2-(2i)^2=x^2+4$

For the second one we have a=x-2 and b=2i:

$(x-2+2i)(x-2-2i)=(x-2)^2-(2i)^2 = x^2-4x+4+4=x^2-4x+8$

For the third one we have a=x+1 and b=i:

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

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4 years ago

Based on the markings which lines or segments must be parallel? Justify your answer

Lady bird [3.3K]

L and M are parallel, just like P and N because their angles with other segments are the same

3 0

3 years ago

a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros.

Radda [10]

Answer:

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

$x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x= \frac{-b-\sqrt{b^{2}-4ac } }{2a}$

$x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}$

$x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}$

$x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};$

$x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005$

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

$(-714.005)^2+700(-714.005)-10000=-0.360$

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

$(14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725$

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2 years ago

A teacher made a copy of a map. To make the map easier to see, the teacher enlarged the area of the map by 38%. Let d represent

nikdorinn [45]

Answer:

i don't know sorry

Step-by-step explanation:

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3 years ago

Read 2 more answers

Adding/Subtracting rational expressions

Leona [35]

7]
6/(x-1)-5x/4
subtracting the above we put the fraction under the same denominator:
6/(x-1)-5x/4
multiplying the denominators we get:
4(x-1)
thus subtracting we get:
6/(x-1)-5x/4
=(4*6-5x(x-1))/[4(x-1)]
=[24-5x^2+5x]/(4x-4)
Answer:
(-5x^2+5x+24)/(4x-4)

9]
3/(x+7)+4/(x-8)
the common denominator is:
(x+7)*(x-8)=(x+7)(x-8)
thus adding the fractions we put them under the same denominator as follows:
[3(x-8)+4(x+7)]/[(x+7)(x-8)]
=[3x-24+4x+28]/[(x+7)(x-8)]
=(7x+4)/[(x+7)(x-8)]

5 0

3 years ago