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GenaCL600 [577]
3 years ago
15

What’s 3х + 7>4х +2

Mathematics
1 answer:
Kipish [7]3 years ago
6 0

Answer:

x < 5

Step-by-step explanation:

3x + 7 > 4x + 2 \\ 7 - 2 > 4x - 3x \\ 5 > x

x < 5

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What elements of a rectangular prism are needed to find its volume?
Dmitry_Shevchenko [17]

Answer:

Height Length And Width

Step-by-step explanation:

The formula for the volume of a retangular prisim is Volume=Length x Width x Height

7 0
2 years ago
Read 2 more answers
Find the solution of the problem (1 3. (2 cos x - y sin x)dx + (cos x + sin y)dy=0.
lakkis [162]

Answer:

2*sin(x)+y*cos(x)-cos(y)=C_1

Step-by-step explanation:

Let:

P(x,y)=2*cos(x)-y*sin(x)

Q(x,y)=cos(x)+sin(y)

This is an exact differential equation because:

\frac{\partial P(x,y)}{\partial y} =-sin(x)

\frac{\partial Q(x,y)}{\partial x}=-sin(x)

With this in mind let's define f(x,y) such that:

\frac{\partial f(x,y)}{\partial x}=P(x,y)

and

\frac{\partial f(x,y)}{\partial y}=Q(x,y)

So, the solution will be given by f(x,y)=C1, C1=arbitrary constant

Now, integrate \frac{\partial f(x,y)}{\partial x} with respect to x in order to find f(x,y)

f(x,y)=\int\  2*cos(x)-y*sin(x)\, dx =2*sin(x)+y*cos(x)+g(y)

where g(y) is an arbitrary function of y

Let's differentiate f(x,y) with respect to y in order to find g(y):

\frac{\partial f(x,y)}{\partial y}=\frac{\partial }{\partial y} (2*sin(x)+y*cos(x)+g(y))=cos(x)+\frac{dg(y)}{dy}

Now, let's replace the previous result into \frac{\partial f(x,y)}{\partial y}=Q(x,y) :

cos(x)+\frac{dg(y)}{dy}=cos(x)+sin(y)

Solving for \frac{dg(y)}{dy}

\frac{dg(y)}{dy}=sin(y)

Integrating both sides with respect to y:

g(y)=\int\ sin(y)  \, dy =-cos(y)

Replacing this result into f(x,y)

f(x,y)=2*sin(x)+y*cos(x)-cos(y)

Finally the solution is f(x,y)=C1 :

2*sin(x)+y*cos(x)-cos(y)=C_1

7 0
3 years ago
If g( n ) = 3 n - 2, then what is the value of g(10)?<br><br> 4<br> 28<br> 308<br> 24
tino4ka555 [31]

Answer:

28

Step-by-step explanation:

g(10)=3n-2

10=n

3(10)-2

REMEMBER PEMDAS

Parentheses, Exponent, Multiplication, Division, Addition, and Subtraction.

3(10)=30

30-2=28

Hope this helps have a wonderful evening!

8 0
3 years ago
In class, Matthew stated, "I think that a negative is like an opposite. That is why multiplying a negative times a negative equa
Black_prince [1.1K]
Two negatives being multiplied DOES equal a positive 
In my response to is that is a correct term to answer. <span />
3 0
3 years ago
Jackie found the area of a square to be 25/16 square feet.Which shows the side length of the square?
svlad2 [7]

The side length is the square root of the area, so is ...

... √(25/16 ft²) = (√25)/(√16) ft = 5/4 ft

4 0
3 years ago
Read 2 more answers
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