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xenn [34]
2 years ago
14

What are solutions of 3y>2x when y=6? Can any one help with steps plz

Mathematics
2 answers:
Angelina_Jolie [31]2 years ago
8 0
First, you just need to disregard the greater than sign because these types of equation is solved the same way as those with equals (=) sign in the middle. So when y=6,
First you need to substitute y=6 to the y in 3y

3(6)>2x

By multiplying,

18>2x

By dividing both sides of the equation by 2

18/2 > 2x/2

9>x

However if you want to transpose x to the left side of the equation, you also need to reverse the sign to <

Which means

X<9

krek1111 [17]2 years ago
4 0
If y=6 them we will have

3*6>2x
18>2x
 
x must be smaller than 9, because 
18=2*9  => 18=18, and we doesn't respect the rule

now that we know that x<9 we have other 2 cases...
1. x is a natural number x can take values from the interval [0, 8]
2. x is a rational number, so it can take values from the interval [8, - infinite)
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Compute the range of the following data set:<br> 89, 65, 34, 91
malfutka [58]

Answer:

57

Step-by-step explanation:

range = biggest - smallest

91 - 34 = 57

range = 57

8 0
3 years ago
find the equations of the tangents to the curve y= x(x-1)(x+2) at the points where the curve cuts the x axis
antoniya [11.8K]

First of all, we compute the points of interest, i.e. the points where the curve cuts the x axis: since the expression is already factored, we have

x(x-1)(x+2) = 0 \iff x=0\ \lor\ x-1=0\ \lor\ x+2=0

Which means that the roots are

x=0\ \lor\ x=1\ \lor\ x=-2

Next, we can expand the function definition:

y = x(x-1)(x+2) = x^3 + x^2 - 2x

In this form, it is much easier to compute the derivative:

y' = 3x^2+2x-2

If we evaluate the derivative in the points of interest, we have

y'(-2) = 6,\quad y'(0)=-2,\quad y'(1)=3

This means that we are looking for the equations of three lines, of which we know a point and the slope. The equation

y-y_0=m(x-x_0)

is what we need. The three lines are:

y-0=6(x+2) \iff y = 6x+12  This is the tangent at x = -2

y-0=-2(x-0) \iff y = -2x  This is the tangent at x = 0

y-0=3(x-1) \iff y = 3x-3  This is the tangent at x = 1

7 0
3 years ago
F.<br> x4 + 2x3 +6x² + 4x+8 by x2 +2.
Anna71 [15]

Answer:

explain correctly please

5 0
3 years ago
I dont understand anything
Leviafan [203]

Answer:

D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Demarco substitutes a value for x in the equation 2x = 4.
MA_775_DIABLO [31]

Answer:

If both sides are equal

Step-by-step explanation:

If both sides are equal and are the same in both sides of the equation, than it is a solution.

For instance, the solution for 2x = 4, is x = 2 because 2(2) = 4 is 4 = 4.

6 0
3 years ago
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