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saw5 [17]
3 years ago
12

Can someone help me with these?

Mathematics
1 answer:
arlik [135]3 years ago
6 0
1. would be 49/60
I'm not really sure about #2
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At what point on the curve y = 2 + 2ex − 4x is the tangent line parallel to the line 4x − y = 3? (x, y) =
Papessa [141]

Answer:

{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)

Step-by-step explanation:

From this equation 4x − y = 3

-y = 3 - 4x

then, y = 4x - 3

From line equation y = mx + b

Therefore, the slope is 4

Since the are parallel line, they will have same slope

Finding the derivative of y = 2 + 2e^x − 4x

y = 2 + 2e^x − 4x

y' = 0 + 2e^x - 4

Therefore,

4 = 2e^x - 4

4 = e^x

x = ln 4 = 1.39

To find the y coordinate

y = 2 + 2e^x − 4x

y = 2 + 2e^ln 4 − 4 ln 4

y = 4.45

Hence, they are parallel at point (1.39 and 4.45)

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3 years ago
100 points!!!<br><br> Multi-Step Equations with Distributive Property
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An example below

Step-by-step explanation:

5(4a + 7(a + 2b))

First simply the inside bracket using distributive property:

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7(a) + 7(2b)

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5(4a + 7a + 14b)

5(11a + 14b)

Use distributive property again

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4 years ago
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The estimated product of 20.7 and 9.18 after rounding both factors to the nearest whole number is
gogolik [260]
189 because 20.7 rounds to 21 and 9.18 rounds to 9
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Answer:

Step-by-step explanation:

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Rosa has
Lera25 [3.4K]

Answer:

The answer is 14.5

Step-by-step explanation:

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