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3 years ago

Solve for x: 3(x+1)=5 (x-2)+7

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

8 0

Step-by-step explanation:

3( x +1) = 5 (x - 2) + 7

3x + 3 = 5x - 10 + 7

5x - 3x = 3 + 10 - 7

2x = 13 - 7

2x = 6

Therefore x = 3

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If they have 11 boxes and 88 shorts there will be 8 shorts in each box

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3 years ago

Which equation has infinitely many solutions? A) 4x + 3 3 = 4x + 5 B) 10x + 8 2 = 5x + 4 C) 8x − 5 3 = 2x − 2 D) 8x − 5 2 = 4x −

abruzzese [7]

Answer: If the left side and the right side of the equation are equal, the equations has infinitely many solutions.

Step-by-step explanation:

The options are not clear, so I will give you a general explanation of the procedure you can use to solve this exercise.

The Slope-Intercept form of the equation of a line is the following:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

For this exercise you need to remember that, given a System of Linear equations, if they are exactly the same line, then the System of equations has Infinitely many solutions.

If you have the following system:

$\left \{ {{y=2x+1} \atop {y=\frac{12}{6}x+1}} \right.$

You can simplify the second one:

$y=2x+1$

Then, both equations are the same line.

By definition you can also write the systemf making both equations equal to each other:

$2x+1=2x+1$

So, if the left side and the right side are equal, the equations has infinitely many solutions.

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3 years ago

Hey can you please help me posted pictureof question

pishuonlain [190]

There are two 5's because the 5 section takes up the amount of 2 sections.

There is a total of 8 sections because sections 2 and 5 take up the amount of 2 sections

5's to total = 2/8 = 1/4

Your answer is A. 1/4

Hope this helps :)

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3 years ago

Hey I really need help on this question please

Dmitry_Shevchenko [17]

A circle’s standard form of an equation is:
(x-h)^2 + (y-k)^2 = radius^2

Plug in h and k immediately because that is something you automatically know. H and k are derived from the center of the circle. The center of the circle is (h,k). Don’t get tripped up though, your center of a circle has negative coordinates. When you have two negatives, they become positive.

So now you have:
(x+4)^2 + (y-2)^2 = radius^2

So figure out what the radius is. Use the distance formula to find out. You have a change of 5 from -4 to 1 in x. You have a change of 2 from 2 to 4 in y. Distance formula has the distance as the square root of x distance squared and y distance squared. That would mean that the distance/radius is equal to the square root of (25 + 4). 5 squared is 25 while 2 squared is 4.

The radius of the circle is equal to the square root of (29). However, looking back at the circle equation the radius should be squared for the equation. Square root of 29 squared gets you 29.

Plug that in and you get:
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3 years ago

The number 20 is no less than the difference of 4 times a number c and 8.

sammy [17]

Answer:

20 >= 4*c - 8

Step-by-step explanation:

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3 years ago