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Vadim26 [7]
3 years ago
5

Shifting a graph vertically and horizontally is only possible for certain types of functions.

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

Answer:

B.

Step-by-step explanation:

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The art teacher has 7 bottles of glue that are 2/5 pull he combines them so he will have fewer bottles how many bottles of glue
vlabodo [156]
Hello!

You have to do 7 * 2/5

Which is the same as 7/1 * 2/5

Which gives us the answer 2 4/5 bottles of glue.

Hope this helps!
3 0
3 years ago
A manufacturing company has a policy that states managers are paid a salary that is proportional to the number of employees they
user100 [1]
From the problem description, we can construct an algebraic equation for the situation. Let S be the salary and x be the number of employees.

S = kx
where k is the proportionality constant

Using variation,

k = S₁/x₁ = S₂/x₂

Substituting,

34000/12 ? 36000/16
2833.33 ? 2250
Thus,
2833.33 ≠ 2250
<em>It does not follow the company's policy.</em>
7 0
3 years ago
Find general solutions of the differential equation. Primes denote derivatives with respect to x.
zepelin [54]

Answer:

\mathbf{3x^2y^3+2xy^4=C}

Step-by-step explanation:

From the differential equation given:

6xy^3 +2y ^4 +(9x^2y^2+8xy^3) y' = 0

The equation above can be re-written as:

6xy^3 +2y^4 +(9x^2y^2+8xy^3)\dfrac{dy}{dx}=0

(6xy^3 +2y^4)dx +(9x^2y^2+8xy^3)dy=0

Let assume that if function M(x,y) and N(x,y) are continuous and have continuous first-order partial derivatives.

Then;

M(x,y) dx + N (x,y)dy = 0; this is exact in R if and only if:

\dfrac{{\partial M }}{{\partial y }}= \dfrac{\partial N}{\partial  x}}} \ \ \text{at each point of R}

relating with equation M(x,y)dx + N(x,y) dy = 0

Then;

M(x,y) = 6xy^3 +2y^4\  and \ N(x,y) = 9x^2 y^2 +8xy^3

So;

\dfrac{\partial M}{\partial y }= 18xy^3 +8y^3

       \dfrac{\partial N}{\partial y }

Let's Integrate \dfrac{\partial F}{\partial x}= M(x,y) with respect to x

Then;

F(x,y) = \int (6xy^3 +2y^4) \ dx

F(x,y) = 3x^2 y^3 +2xy^4 +g(y)

Now, we will have to differentiate the above equation with respect to y and set \dfrac{\partial F}{\partial x}= N(x,y); we have:

\dfrac{\partial F}{\partial y} = \dfrac{\partial}{\partial y } (3x^2y^3+2xy^4+g(y)) \\ \\ = 9x^2y^2 +8xy^3 +g'(y) \\ \\ 9x^2y^2 +8xy^3 +g'(y) =9x^2y^2 +8xy^3 \\ \\ g'(y) = 0  \\ \\ g(y) = C_1

Hence, F(x,y) = 3x^2y^3 +2xy^4 +g(y)  \\ \\ F(x,y) = 3x^2y^3 + 2xy^4 +C_1

Finally; the general solution to the equation is:

\mathbf{3x^2y^3+2xy^4=C}

5 0
2 years ago
Help please if it’s wrong is okay ig no links
Mkey [24]
1 2 3 4 & 5 would be the answers!
6 0
3 years ago
Please help me Simplify 5+(z+2) <br><br> Maybe try to simplify
dolphi86 [110]

Answer:

7+z

Step-by-step explanation:

you can open the parentheses right away because it is addition. so you are left with 5+z+2. you can add both 5 and 2 together, so the final result will be 7+z

6 0
3 years ago
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