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nexus9112 [7]
3 years ago
12

A square with side x, is changing with time where x(t)=3t+1. What is the formula for the rate of change of the area of the squar

e
Mathematics
1 answer:
lawyer [7]3 years ago
5 0

Answer:

  A' = 6(3t +1)

Step-by-step explanation:

The area is the square of the side length, so ...

  A = (3t +1)²

The derivative with respect to t is then

  A' = 2(3t +1)·(3) = 6(3t +1)

If you like, you can multiply out the area expression first, then differentiate.

  A = 9t² +6t +1

  A' = 18t +6

This can be factored, if you like, to ...

  A' = 6(3t +1)

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Bryan created a scale drawing of his rectangular bedroom. His drawing had dimensions of 6 inches by 8 inches. If the scale that
vlabodo [156]

Answer:

56 feet

Step-by-step explanation:

If 1 inch = 2 feet, we can first find the actual dimensions of his room by multiplying the number of inches by 2.

6(2)

= 12

8(2)

= 16

So, the actual dimensions of his room are 12 feet by 16 feet.

To find the perimeter, use the perimeter formula, P = 2l + 2w.

Plug in the length and width:

P = 2l + 2w

P = 2(12) + 2(16)

P = 24 + 32

P = 56

So, the perimeter of his actual room is 56 feet.

6 0
2 years ago
Determine whether each of the following functions is even, odd, or neither even nor odd.
Illusion [34]

Answer:

A.) Even.

Step-by-step explanation:

If a function is an even function, then

F(-x) = f(x)

Also, if a function is an odd function, then, f(-x) = -f(x)

You are given the below function

f(x) = 1 + 3x^2 − x^4

Let x = 2

Substitute 2 for x in the function

F(x) = 1 + 3(2)^2 - (2)^4

F(x) = 1 + 3(4) - 16

F(x) = 1 + 12 - 16

F(x) = -3

Also, Substitute -2 for x in the function

F(x) = 1 + 3(-2)^2 - (-2)^4

F(x) = 1 + 3(4) - 16

F(x) = 1 + 12 - 16

F(x) = -3

Since f(-x) = f(x), we can conclude that

F(x) = 1 + 3x^2 - x^4 is even

5 0
3 years ago
Can somebody help me?
HACTEHA [7]

Answer:I cannot see photo

5 0
2 years ago
Read 2 more answers
P → q is false and p is true.
arlik [135]

Answer:

False??????..........

5 0
3 years ago
A salesperson makes a commission of 1% of all cars that he sells. If his goal is to make at least $4,285 worth of commission dur
shusha [124]

Answer: $428,500

Step-by-step explanation:

Since commission is 1% = 1/100

Let the missing amount be represented as p

From the question, 1/100 × p = 4285

1/100p = 4285

Divide both sides by 1/100 to get the value of p

p = $4285 ÷ 1/100

p= $4285 × 100/1

p = $428500; i hope this helps, please mark as brainliest answer.

6 0
3 years ago
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