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kykrilka [37]
3 years ago
5

Use the distributive property to expand -4(-2/3+3x). Which is an equivalent expression?

Mathematics
2 answers:
Bad White [126]3 years ago
7 0

- 4 \times ( \frac{2}{3}  + 3x)
Multiply each term in the parentheses, namely 2/3 and 3x, by the only term outside of the parentheses, -4.

Each of the resulting products becomes a new term in the addition.

( - 4 \times  \frac{2}{3} ) + ( - 4 \times 3x)
( -  \frac{8}{3} ) + ( - 12x)
-  \frac{8}{3}  - 12x
You may choose to keep the answer this way, or continue to change the improper fraction into a proper fraction. A lot of teachers also prefer to have the highest degree terms (terms that have variables with the highest powers) on the left.

- 12x - 2 \frac{2}{3}
Nadusha1986 [10]3 years ago
3 0

Answer:

D. 8/5- 12x

Step-by-step explanation: HOPES THIS HELPS!

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coldgirl [10]

Answer: the answer is -1

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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.

Therefore, maximum profits are earned when x = 64 that is when 64 units are sold.

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

6 0
3 years ago
Somebody please help me I’ll give you brainiest if you’re right
Pavlova-9 [17]

Answer: I belive the answer would be 18 the only number we have is 52 and 36 the other answers just don't make sense, I am only taking 9th grade but hey I try!

Step-by-step explanation:

6 0
3 years ago
Use the rule provided to generate the first five terms of the sequence. The rule<br> is 4n + 5.
lesya692 [45]

Answer:

9, 13, 17, 21,25

Step-by-step explanation:

n=1, 4×1+5=9

n=2, 4×2 +5=13

::

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n=5, 4×5 + 5= 25

4 0
3 years ago
Write the equation in logarithmic form 4^7=16,384 please show work
nlexa [21]

 If a^ x = b then:  

x = log_{a}b  

For:

4^{7} = 16384 \\ log _{4}16384 = 7

8 0
3 years ago
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