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Firdavs [7]
3 years ago
14

Solve the system of the following equations:

Mathematics
2 answers:
Alina [70]3 years ago
7 0

Answer:

(5, \:  - 2)

Step-by-step explanation:

x + 3y =  - 1 \\ 2x + 2y = 6 \\ solve \: the \: equation \\  \\ x =  - 1 - 3y \\ 2x + 2y = 6 \\ substitute \: the \: value \: of \: x \: into \: an \\ equation. \\  \\ 2( - 1 - 3y) + 2y = 6 \\ distribute \\  \\  - 2 - 6y + 2y = 6 \\ add \:  - 6y \: to \: 2y \\  \\  - 2 - 4y = 6 \\ add \: 2 \: from \: both \: sides \\  \\  -  2y = 8 \\ divide \: both \: sides \: by \: 2 \\  \\ y =  - 2 \\ substitute \: the \: value \: of \: y \: into \: an  \\  equation. \\  \\ x =  - 1 - 3( - 2) \\ distribute \\  \\  - 1  + 6 \\ add \:  - 1 \: to \: 6 \\   \\  x = 5 \\  \\ (5, - 2)

schepotkina [342]3 years ago
4 0
The answer is (5,-2)
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Dion owns a delivery service. He charges his customers $15.00 for each delivery. His expenses include $7000 for the motorcycle h
soldi70 [24.7K]

Answer:

p = $15d - (7,000 + 0.84d)

Step-by-step explanation:

In this question, we are asked to given an equation that will represent the profit Dion makes when he has made a total of d deliveries.

We proceed as follows:

To calculate the profit, we need to subtract the cost price from the selling price.

Let’s start with the cost price. This refers to the total amount of money that is used to prepare the goods for sales and also spent on that cause. He charges $0.42 for gasoline per trip. This means it is a total of $0.84 for each delivery. This is because two trips will make a delivery. Total number of money spent on gasoline on deliveries is thus 0.84 * d = 0.84d. Now, we add the cost of Motorcycle he rides to be $7,000. The total money spent is thus $7000 + $0.84d

His selling price is simply the number of deliveries he has made multiplied by the amount of money he charges per trip. This is same as 15 * d= $15d

Profit is thus ; p = $15d - (7,000 + 0.84d)

7 0
4 years ago
What’s the slope?<br> the line has the given equation y+7=3/5(x-4)
V125BC [204]

Answer:

Slope 3/5

Step-by-step explanation:  

y=3/5x-47/5

3 0
3 years ago
Find all solutions in the interval [0,2pi).<br><br> cos 2x + sqrt(2) sinx=1
kykrilka [37]
<span>cos 2x + sqrt(2) sinx=1
</span><span>
Note that: cos 2x = cos^2x - sin^2x = (1-sin^2x) - sin^2x = 1 - 2sin^2x.
So, when alternatively written, you have the following equation:

</span>- 2sin^2x + sqrt(2)sinx + 1 = 1
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Then, let z=sin(x). So you get,

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Either z=0, or - 2z + sqrt(2) = 0 --->  z=sqrt(2)/2.
Then, since z=0 or z=sqrt(2)/2, therefore sin(x)=0, or sin(x)=sqrt(2)/2.

Then, for you remains just to list the angles. (Let me know if this is not fair or if you got questions.)
6 0
4 years ago
What's the relationship between 0.5 and 0.05
Kisachek [45]
There both in the decimal place
7 0
3 years ago
Need helppppppppppppppp
Sunny_sXe [5.5K]

Answer:

112/100

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7 0
3 years ago
Read 2 more answers
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