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NARA [144]
2 years ago
6

Question: Solve the system of equations. Show or explain your reasoning.

Mathematics
1 answer:
Dovator [93]2 years ago
6 0
The answer is x=2, y= -1
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Use the graph to predict the number of hybrid cars sold at a local car dealership in 2007.
GalinKa [24]

Answer: I predict 460.

Step-by-step explanation:

8 0
3 years ago
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Find the minimum value if f(x) = xe^x over [-2,0]
SashulF [63]

Given function:

f(x)=xe^x

The minimum value of the function can be found by setting the first derivative of the function to zero.

f^{\prime}(x)=xe^x+e^x\begin{gathered} xe^x+e^x\text{ = 0} \\ e^x(x\text{ + 1)  = 0} \end{gathered}

Solving for x:

\begin{gathered} x\text{ + 1 = 0} \\ x\text{ = -1} \end{gathered}\begin{gathered} e^x\text{ = 0} \\ \text{Does not exist} \end{gathered}

Substituting the value of x into the original function:

\begin{gathered} f(x=1)=-1\times e^{^{-1}}_{} \\ =\text{ -}0.368 \end{gathered}

Hence, the minimum value in the given range is (-1, -0.368)

6 0
1 year ago
A gardener uses a tray of 6 conical pots to plant seeds. Each conical pot has a radius of 3 centimeters and a depth of 8 centime
solong [7]
452cm3 hope you get it right

3 0
3 years ago
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Evaluate the expression 2ab 3+ 6a 3 - 4ab2 when a=2 and b=4.<br> a.176<br> b.180<br> c.215<br> d.216
Tom [10]
The first step for solving this expression is to insert what a and b stand for into the expression. This will change the expression to the following:
2(2)(4)³ + 6(2)³ - 4(2)(4)²
Now we can start solving this by factoring the expression
2(2 × 4³ + 3 × 2³ - 4 × 4²)
Write 4³ in exponential form with a base of 2.
2(2 × 2^{6} + 3 × 2³ - 4 × 4²)
Calculate the product of -4 × 4².
2(2 × 2^{6} + 3 × 2³ -4³)
Now write 4³ in exponential form with a base of 2.
2(2 × 2^{6} + 3 × 2³ -2^{6})
Collect the like terms with a base of 2.
2(2^{6} + 3 × 2³)
Evaluate the power of 2³.
2(2^{6} + 3 × 8)
Evaluate the power of 2^{6}.
2(64 + 3 × 8)
Multiply the numbers.
2(64 + 24)
Add the numbers in the parenthesis.
2 × 88
Multiply the numbers together to find your final answer.
176
This means that the correct answer to your question is option A.
Let me know if you have any further questions.
:)
5 0
3 years ago
Find the value of x when 6 - 3x = 5x - 10x + 8.<br> The value of x is
katrin2010 [14]

Answer:

Step-by-step explanation:

Simplify

6 + -3x = 5x + -10x + 8

terms:

6 + -3x = 8 + 5x + -10x

Combining  like terms: 5x + -10x = -5x

6 + -3x = 8 + -5x

Solving

6 + -3x = 8 + -5x

Move all terms containing x to the left, all other terms to the right.  (Remember)

Add '5x' to each side of the equation.

6 + -3x + 5x = 8 + -5x + 5x

Combine the like terms -3x + 5x = 2x

6 + 2x = 8 + -5x + 5x

Combine the like terms again  -5x + 5x = 0

6 + 2x = 8 + 0

6 + 2x = 8

Then '-6' to each side of the equation.

6 + -6 + 2x = 8 + -6

Combine the like terms: 6 + -6 = 0

0 + 2x = 8 + -6

2x = 8 + -6

Combine the like terms: 8 + -6 = 2

2x = 2

Then divide each side by '2'.

x = 1

Simplifying

x = 1

7 0
3 years ago
Read 2 more answers
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