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Vlad1618 [11]
3 years ago
11

What are the solutions of the equation (x+2)^2-2(x+2)-15=0

Mathematics
1 answer:
Nina [5.8K]3 years ago
8 0

Answer:

The solutions to this are x = -5, and x = 3.

Step-by-step explanation:

This can be solved by rearranging the equation into a proper quadratic format, and factoring it:

(x + 2)^2 - 2 (x + 2) - 15 = 0\\x^2 + 4x + 4 - 2x - 4 - 15 = 0\\x^2 + 2x - 15 = 0\\(x + 5)(x - 3) = 0

This tells us that the x can be equal to  -5 or 3.

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jacob wants to buy packets of fruit juice. on tuesday, he buys 8 packets of orange and 6 packets of Apple the packets make a tot
ioda

Answer:

Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

Step-by-step explanation:

Let number of cups of juice in each packet of orange be 'x'.

Let number of cups of juice in each pack of apples be 'y'.

Given:

On Tuesday;

Number of packets of oranges = 8

Number of packets of apples = 6 packets.

Amount of fruit juice = 34 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

8x+6y=34 \ \ \ \ equation \ 1

On Wednesday;

Number of packets of oranges = 14

Number of packets of apples = 6

Amount of fruit juice = 46 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

14x+6y=46 \ \ \ \ equation \ 2

Now Subtracting equation 1 from equation we get;

14x+6y-(8x+6y)=46-34\\\\14x+6y-8x-6y=12\\\\6x=12

Now dividing both side by 6 we get;

\frac{6x}{6}=\frac{12}{6}\\\\x=2\ cups

Now we will substitute the value of 'x' in equation 1 we get;

8x+6y=34\\\\8\times2+6y=34\\\\16+6y=34

Subtracting both side by 16 we get;

16+6y-16=34-16\\\\6y= 18

Now dividing both side by 6 we get;

\frac{6y}{6}=\frac{18}{6}\\\\y=3

Hence Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

5 0
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Answer:

7.855

Step-by-step explanation:

A=pi*r^2=3.142*5^2=3.142*25=7.855

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Answer:

C.

Step-by-step explanation:

55-6=49

49-6=43

43-6=37

etc.

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There is no graph to find the volume
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The answer is b.) hope this helped.

Step-by-step explanation:

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