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3 years ago

5x-4+2x=3

1 answer:

8 0

Alright so 5x-4+2x=3 so we are solving for x so 5x+3x=7x so you are left with 7x-4=3 then you add 4 to 3 on the other side that leaves you with 7x=7 so then divide 7 from 7 then you will get x=1

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A baseball team played 160 regular season games. the ratio of the number of games they won to the number of games they lost was

timurjin [86]

They won 96 games because 160 divided by 5 is 32. now 32 times 3 equals to 96. :) Hope this helps

6 0

3 years ago

What is the equation of the graph below?

wlad13 [49]

Answer:

$y=cos(x+\pi )$

Step-by-step explanation:

From the graph, we can see that y = -1 when x = 0.

So to check whether which of the given options is the equation of the given graph, we will set our calculator to the radian mode and then plug the value of x as 0.

1. y = cos(x + pi/2) = cos(0 + pi/2) = 0

2. y = cos(x+2pi) = cos(0+2pi) = 1

3. y = cos(x+pi/3) = cos(0+pi/3) = 1/2 = 0.5

4. y = cos(x+pi) = cos(0+pi) = -1

Therefore, the equation of this graph is y = cos(x+pi) = cos(0+pi) = -1.

5 0

4 years ago

A company manufactures running shoes and basketball shoes. The total revenue (in thousands of dollars) from x1 units of running

Alborosie

Answer:

$x_1 =2 , x_2=7$

Step-by-step explanation:

Consider the revenue function given by $R(x_1,x_2) = -5x_1^2-8x_2^2 -2x_1x_2+34x_1+116x_2$ . We want to find the values of each of the variables such that the gradient( i.e the first partial derivatives of the function) is 0. Then, we have the following (the explicit calculations of both derivatives are omitted).

$\frac{dR}{dx_1} = -10x_1-2x_2+34 =0$

$\frac{dR}{dx_2} = -16x_2-2x_1+116 =0$

From the first equation, we get, $x_2 = \frac{-10x_1+34}{2}$ .If we replace that in the second equation, we get

$-16\frac{-10x_1+34}{2} -2x_1+116=0= 80x_1-2x_1+116-272= 78x_1-156$

From where we get that $x_1 = \frac{156}{78}=2$ . If we replace that in the first equation, we get

$x_2 = \frac{-10\cdot 2 +34}{2}=\frac{14}{2} = 7$

So, the critical point is $(x_1,x_2) = (2,7)$ . We must check that it is a maximum. To do so, we will use the Hessian criteria. To do so, we must calculate the second derivatives and the crossed derivatives and check if the criteria is fulfilled in order for it to be a maximum. We get that

$\frac{d^2R}{dx_1dx_2}= -2 = \frac{d^2R}{dx_2dx_1}$

$\frac{d^2R}{dx_{1}^2}=-10, \frac{d^2R}{dx_{2}^2}=-16$

We have the following matrix,

$\left[\begin{matrix} -10 & -2 \\ -2 & -16\end{matrix}\right]$ .

Recall that the Hessian criteria says that, for the point to be a maximum, the determinant of the whole matrix should be positive and the element of the matrix that is in the upper left corner should be negative. Note that the determinant of the matrix is $(-10)\cdot (-16) - (-2)(-2) = 156>0$ and that -10<0. Hence, the criteria is fulfilled and the critical point is a maximum

8 0

3 years ago

Read 2 more answers

What is product of 3x-4 an 5x^2-2x+6 help me please, please, please

Fofino [41]

(3x-4)(5x^2-2x+6)
15x^3-6x^2+18x-20x^2+8x-24
15x^3-26x^2+26x-24

4 0

3 years ago

If 3 pots could fit in 1 flower pot and 5 flower pot could fit in 10 Garden Pot, then how many pots make 10 Garden Pots?

Leya [2.2K]

Answer:

If 3 pots could fit in 1 flower pot and 5 flower pot could fit in 10 Garden Pot, then how many pots make 10 Garden Pots?

A. 30

B .10

C. 64

D. None Of The Above

→D. None Of The Above

Explaination :

5 flower pots could fit in 10 garden pot

But 15 pots (°•°3 pots = 1 flower pot) makes 5 flower pots.

Hence,15 pots  make 10 Garden Pots.

hope it helps :)

7 0

2 years ago