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3 years ago

Simply 4x+6=6(x+1)-2x

Mathematics

1 answer:

bekas [8.4K]3 years ago

4 0

Answer:

Many solutions

Step-by-step explanation:

First, you distribute the 6 into the parenthesis:

4x+6=6(x+1)-2x

4x+6=6x+6-2x

4x+6=4x+6

subtract 6 from both sides

4x=4x

All real numbers can be the solution

Hope this helps!

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rock is thrown upward with a velocity of 27 meters per second from the top of a 23 meter high cliff and it misses the cliff on t

ahrayia [7]

the rock will be at 11 meters from the ground level after 5.92 seconds

Step-by-step explanation:

The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:

$y=h+ut+\frac{1}{2}at^2$

where

h = 23 m is the initial height

u = 27 m/s is the initial velocity, upward

$a=g=-9.8 m/s^2$ is the acceleration of gravity, downward

t is the time

We want to find the time t at which the position of the rock is

y = 11 m

Substituting and re-arranging the equation, we find

$11=23+27t-4.9t^2\\4.9t^2-27t-12=0$

This is a second-order equation, which has solutions:

$t=\frac{27\pm \sqrt{(-27)^2-4(4.9)(-12)}}{2(4.9)}=\frac{27\pm \sqrt{964.2}}{9.8}$

$t_1 = -0.41 s$

$t_2=5.92 s$

The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.

Learn more about free fall:

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8 0

2 years ago

Can 10-12 be solved Answer Fast!!!!!!

zzz [600]

Answer:

10/------ 5x+2y=14

11/------ 1x+6y=2

12/ ----- 9x+6y=12

6 0

2 years ago

Mel has to put the greatest number of

Dmitry_Shevchenko [17]

Mel should use the least common multiple to solve the problem

<u>Solution:</u>

Given, Mel has to put the greatest number of bolts and nuts in each box so each box has the same number of bolts and the same number of nuts.

We have to find that should Mel use the greatest common factor or the least common multiple to solve the problem?

He should use least common multiple.

Let us see an example, suppose 12 bolts and nuts are to be fit in 6 boxes.

Then, if we took H.C.F of 12 and 6, it is 6, which means 6 bolts and nuts in each box, but, after filling 2 boxes with 6 bolts and nuts, there will be nothing left, which is wrong as remaining boxes are empty.

So the remaining method to choose is L.C.M.

Hence, he should use L.C.M method.

6 0

2 years ago

How do you convert a fraction to decimal

muminat

To convert a fraction to a decimal, divide the numerator by the denominator (divide the top by the bottom)

7 0

3 years ago

Read 2 more answers

A certain number was multiplied by 7. 4 was taken away from the product. Finally, that difference was then divided by 9, resulti

marin [14]

Answer:

Step-by-step explanation:

To solve this, we have to work backwards. If you divide something by 9, and it equals 5, to figure out the number, we need to multiply by 9. 5*9= 45. If four was taken away, we have to add it to 45, which is 49. If a number *7 is 49, then we have to divide by 7 to get the answer. 49/7=7

7 0

2 years ago