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4 years ago

Find the domain of the function.

Mathematics

1 answer:

timurjin [86]4 years ago

5 0

When taking square roots, you can't take square roots of negative roots of negative numbers. So, what will work for the domain of u(x) is what makes u(x) zero or more. We can make an inequality for that.

u(x) ≥ 0.

$\sqrt{9x+27} \geq 0$

9x + 27 ≥ 0 by squaring both sides

9x ≥ -27

x ≥ -3

So the domain of the function is when x ≥ -3 is true.

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For each of the following, find the transition matrix from B, to B, and the transition matrix from B2 to Bi. Be sure to label wh

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Answer:

Step-by-step explanation:

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4 years ago

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alexgriva [62]

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3 years ago

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If AC is parallel to DE, find X

UNO [17]

Answer: x = 50

Concept:

Here, we need to know the idea of alternative interior angles and the angle sum theorem.

Alternative interior angles are angles that are formed inside the two parallel lines, and the values are equal.

The angle sum theorem implies that the sum of interior angles of a triangle is 180°

If you are still confused, please refer to the attachment below or let me know.

Step-by-step explanation:

Given information:

AC ║ DE

∠ABC = 85°

∠A = 135°

Find the value of ∠BAC

∠A + ∠BAC = 180° (Supplementary angle)

(135°) + ∠BAC = 180°

∠BAC = 45°

Find the value of ∠BCA

∠ABC + ∠BAC + ∠BCA = 180° (Angle sum theorem)

(85°) + (45°) + ∠BCA = 180°

∠BCA = 50°

Find the value of x (∠EBC)

∠EBC ≅ ∠BCA (Alternative interior angles)

Since, ∠BCA = 50°

Therefore, ∠EBC = 50°

$\Large\boxed{x=50}$

Hope this helps!! :)

Please let me know if you have any questions

8 0

1 year ago

He buys a suit that was on sale for 25%off. He only paid $125.00. What was the original price? What was the amount of the discou

Citrus2011 [14]

Equation 1):

You want to buy something that costs $166.66, and it's on sale for 25% off. What is the item's sale price?

First, convert the 25% to a real mathematical number. For percent's, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.

Second, find out what 25% of $166.66 is. This is the amount of the sale discount. This is always found by multiplying 0.250 by the item's cost $166.66, like this:

0.250 x $166.66 = $41.67.

So for this sale, you'll save $41.67 on this item.

This means, the cost of the item to you is

$166.66 - $41.67 = $125.00.

Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).

Now what's 75.000% of the total cost?

0.750 x $166.66 = $125.00.

Answer =====> Just like the result above, the sale price on the item is $125.00.

Equation 2:)

You want to buy something that costs $125, and it's on sale for 25% off. What is the item's sale price?

First, convert the 25% to a real mathematical number. For percent's, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.

Second, find out what 25% of $125 is. This is the amount of the sale discount. This is always found by multiplying 0.250 by the item's cost $125, like this:

0.250 x $125 = $31.25.

So for this sale, you'll save $31.25 on this item.

This means, the cost of the item to you is

$125 - $31.25 = $93.75.

Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).

Now what's 75.000% of the total cost?

0.750 x $125 = $93.75.

Answer =====> Just like the result above, the sale price on the item is $93.75.

Hope that helps!!! : )

8 0

3 years ago

What is the unit rate for 297 words in 5.5 minutes

Stolb23 [73]

297:5.5

divide 5.5 by both sides which

5.5 divided by 5.5 is 1 and 297 divided by 5.5 is 54

1:54

the unit rate:

54 minutes per word or 54/1

6 0

3 years ago

Read 2 more answers