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3 years ago

I’m not sure how to do this

Mathematics

1 answer:

Delvig [45]3 years ago

7 0

Answer: limit as x → 0 = 30 by the Squeeze Theorem

<u>Step-by-step explanation:</u>

30 - 6x² ≤ f(x) ≤ 30 + 6x²

as the limit approaches zero (replace x with zero):

30 - 6(0)² ≤ f(x) ≤ 30 + 6(0)²

30 ≤ f(x) ≤ 30

Since f(x) is between 30 and 30, then the limit as x approaches zero is 30.

This is called the Squeeze Theorem.

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A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct

KatRina [158]

<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

$Perimeter=2(L+\sqrt{100-L^2})$

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

$10=\sqrt{L^2+W^2}$

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

$10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}$

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

$W=\sqrt{100-L^2}$

Now, we know that the Perimeter of a rectangle is given by:

$Perimeter=2(L+W)$

Here we have:

$Perimeter=2(L+\sqrt{100-L^2})$

7 0

3 years ago

Lalo has 1500 minutes per month on his cell phone plan. How many more minutes can he use if he has already talked for 785 minute

SVEN [57.7K]

1500 - 785 = 715
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2 years ago

• A rational number is such that when you multiply it by

Tatiana [17]

Answer:

The number is -1/2.

Step-by-step explanation:

I am assuming they are fractions. So we have the equation:

5/2 x + 2/3 = -7/12

We multiply through by 12 to eliminate the fractions:

5/2 * 12 x + 2/3 * 12 = -7/12 * 12

30x + 8 = -7

30x = -15

x = -15/30

x = -1/2.

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3 years ago

What’s the equation of a line passing through the two points (-3,3) and (0,-1)

kirill [66]

Answer:

y = -4/3x - 1

Step-by-step explanation:

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3 years ago

The Appalachian trail is 2,174 miles long. About how long would a trail be if it were 3 tines the length of the Appalachian trai

mash [69]

Multiply 2174 and 3
your answer will be 6522

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3 years ago