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MaRussiya [10]
1 year ago
6

Consider the function k(x)=x/5-3. Find k(-20).

Mathematics
1 answer:
marusya05 [52]1 year ago
4 0

Answer:

-7

Step-by-step explanation:

k(x) = x/5 - 3

k(-20) = -20/5 -3

k(-20) = -4 - 3

k(-20) = -7

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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)

3 0
3 years ago
The sum of two numbers is 65. The smaller number is 11 less than the larger number. What are the numbers?
Irina-Kira [14]
Sum means u add the two numbers together

38 + 27 = 65
7 0
3 years ago
Please answer this correctly
Over [174]

Answer:

54 9/10

Step-by-step explanation:

The perimeter is the sum of all the sides

13 1/4 + 12 1/5 + 18 1/4 + 11 1/5

Add up the whole numbers

13+12+18+11 = 54

1/4+1/5+1/4+1/5

2/4+2/5

1/2+2/5

Get a common denominator

1/2*5/5 + 2/5*2/2

5/10 +  4/10

9/10

Add them back together

54 9/10

4 0
3 years ago
We know that February has either 28 or 29 days, but there is a year in the future, February will have 30 days
Karo-lina-s [1.5K]

Answer:

The year 2020 is a leap year, which means February will have 29 days rather than 28, and the overall number of days will be 366 rather than 365. This was also the case in 2016, and the year 2024 will be a leap year once more.

Step-by-step explanation:

5 0
3 years ago
Equivalent factored form for 10x^2+15x-9=2x^2+x-14
yanalaym [24]
Factored form - x= -1/2, -5/4
3 0
3 years ago
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