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VMariaS [17]
3 years ago
6

PLEASE HELP AND HURRY

Mathematics
1 answer:
Inessa [10]3 years ago
6 0

Answer:

4.75x=54+2.5x    x=24

Step-by-step explanation:

x=Number of games

4.75x=54+2.5x

Subtract 2.5x from both sides:

2.25x=54

Divide both sides by 2.25:

x=24

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Which is the solution to the inequality |x-4|<3
pishuonlain [190]

Answer:

\large\boxed{1

Step-by-step explanation:

|x-4|

8 0
3 years ago
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Five notebooks cost $20. At this rate, how much would 2 notebooks cost
fenix001 [56]
2 notebooks* ($20/ 5 notebooks)= $8.
(Note that the unit cancels out so you get the answer)

Final answer: $8~
4 0
3 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
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What is 1+39? Greghyyuiyrsfffgghhhhhhju
MariettaO [177]

Answer:

40

Step-by-step explanation:

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4 0
3 years ago
MArsha joged 7.8 miles. Erica jogged 0.5 tyimes as far . HOw far did erica jogged
tangare [24]

you would do 7.8 times 0.5 and would get 3.9. You would add 7.8 and 3.9 and get 11.7 That is your answer

 

3 0
3 years ago
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