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3 years ago

Which equation describes the line with slope 5 that contains the point ( -1, 4)?

Mathematics

1 answer:

Vikentia [17]3 years ago

5 0

Answer:

Step-by-step explanation:

y - 4 = 5(x + 1)

y - 4 = 5x + 5

y = 5x + 9

the answer is c

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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)

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1 year ago

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nydimaria [60]

Answer:

it would be 45 i think

Step-by-step explanation:

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3 years ago

Sam have worked these hours during the week: 4.5, 8.75, 9.5, 10, and 4.25 hours. How many hours did Sam work?

ziro4ka [17]

Answer:

37 hours

Step-by-step explanation:

4.5 + 8.75 + 9.5 + 10 + 4.25 = 37 hours

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3 years ago

Read 2 more answers

Jade says that the absolute value of a number and the opposite of a number is the same thing. Is Jade correct? Use examples to h

avanturin [10]

Answer:

No, the absolute value of a number is different from the opposite.

Step-by-step explanation:

For example, the absolute value of 4 is 4.

l4l = 4

But the opposite of 4 is -4.

Absolute value is ALWAYS positive, but the opposite of a positive number is a negative number.

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3 years ago

Step by step factoring: x^2-11xy+30y^2

oee [108]

Do you need it explained or just the answer

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4 years ago