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qwelly [4]
2 years ago
11

30 POINTS! Combine the like terms of the 2 questions below:

Mathematics
1 answer:
astraxan [27]2 years ago
5 0

Answer:

\tt 1)\: \boxed{\tt 4y+10}

\tt 2)\:\boxed{\tt 0.5x^4+10.5}

Step-by-step explanation:

1) y + 4 + 3(y + 2)

Expand:-

\tt y+4+3y+6

Combine like terms:-

\tt y+3y+4+6

\boxed{\tt 4y+10}

__

2) 0.5(x⁴ - 3) + 12

Expand:-

\tt 0.5x^4-1.5+12

Add/Subtract Numbers:-

\boxed{\tt 0.5x^4+10.5}

___________________

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Please help me with this
attashe74 [19]

Answer:

the 1st one

Step-by-step explanation:

5 0
3 years ago
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The total monthly profit for a firm is P(x)=6400x−18x^2− (1/3)x^3−40000 dollars, where x is the number of units sold. A maximum
wlad13 [49]

Answer:

Maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

Step-by-step explanation:

We are given the following information:P(x) = 6400x - 18x^2 - \frac{x^3}{3} - 40000, where P(x) is the profit function.

We will use double derivative test to find maximum profit.

Differentiating P(x) with respect to x and equating to zero, we get,

\displaystyle\frac{d(P(x))}{dx} = 6400 - 36x - x^2

Equating it to zero we get,

x^2 + 36x - 6400 = 0

We use the quadratic formula to find the values of x:

x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}, where a, b and c are coefficients of x^2, x^1 , x^0 respectively.

Putting these value we get x = -100, 64

Now, again differentiating

\displaystyle\frac{d^2(P(x))}{dx^2} = -36 - 2x

At x = 64,  \displaystyle\frac{d^2(P(x))}{dx^2} < 0

Hence, maxima occurs at x = 64.

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Maximum Profit = P(64) = 2,08,490.666667$

6 0
3 years ago
Which Statement or Inequalities describe the number line graph?
Vika [28.1K]
I might be wrong but:

x is less than negative three and x is greater than or equal to negative one.

Inequality is x<-3 and x ≥ -1
8 0
3 years ago
The temperature is -5°C at sunrise. By noon, the temperature changes by 6°C what could be the temperature at noon? answer asap !
Citrus2011 [14]

Answer:

the temperature is -5C which is negative so its behind the zero on a number line  and 6C is positive which is infront of the zero so it would be 1C by noon

Step-by-step explanation:

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3 years ago
What is the answer for <br> h+6/5=2
WARRIOR [948]

h=4 because 4+6=10 and 10/5=2

6 0
3 years ago
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