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ikadub [295]
2 years ago
9

Which other sets are closed under addition

Mathematics
1 answer:
Sedaia [141]2 years ago
6 0

Step-by-step explanation:

<h3>I hope it helps </h3>

<h3>stay safe</h3>

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Can y’all help me on Thai one thank you
vichka [17]

Karmin will make $18.4 for working an hour after the increase.

Step-by-step explanation:

Step 1:

First, we need to determine how much Karmin made an hour.

Karmin's hourly rate = \frac{480}{30} = 16.

So Karmen made $16 every hour that she worked. She worked for 30 hours and earned $480.

She will get a 15% increase in her hourly rate this month.

Step 2:

We need to determine how much 15% of $16 is.

15% of $16 = \frac{15}{100} (16) = 0.15 (16)= 2.4.

So her 15% increase amounts to $2.4.

So the hourly rate for this month 16 + 2.4 = 18.4.

So Karmin will make $18.4 for working 1 hour.

5 0
2 years ago
Use the given information to write the equation of the parabola.
m_a_m_a [10]

Answer:

x² = -2y

Step-by-step explanation:

The focus is p away from the vertex, and so is the directrix.

To find the equation of the parabola, we must first determine if the parabola is horizontal or vertical.

  • Horizontal parabola [Standard form]: (y – k)² = 4p(x – h)
  • Vertical parabola [Standard form]: (x – h)² = 4p(y – k)

If the parabola is vertical, the directrix, and focus will have the same x value but different y value compared to the vertex (h, k). You can also tell if the directrix in in the form y = k – p, and if the focus is in the form (h, k + p).

Likewise, if the parabola is horizontal, the directrix, and focus will have the same y value but different x value compared to the vertex (h,k) . You can also tell if the directrix is in the form x = h – p, and if the focus is in the form (h + p, k).

For this problem, given that the vertex is at the origin (0,0), and that the focus is at the point (0, -½).

You can tell that the x value is the same for the vertex, and focus so this must be a vertical parabola. Because this is a vertical parabola, we can use the form mentioned as earlier (x – h)² = 4p(y – k).

If h = 0, and k = 0, the p value must be the difference between the k of the vertex, and the k of the focus: -½ - 0 → -½.

Now we can just plug in our known information to derive the equation!

h = 0, k = 0, p = -½ → (x - h)² = 4p(y - k) →

(x - 0)² = 4(-½)(y - 0) → x² = -2(y - 0) →

x² = -2y.

Also p = 1/4a, if you are wondering.

So because this is a vertical parabola, x² = -2y is generally the same as y = -1/2x² in standard quadratic form. I just like to think of the horizontal parabola as an inverse quadratic because it is like reflecting over the line y = x.

8 0
3 years ago
Read 2 more answers
The regular price of an item is $150. The item is on sale at a discount rate of 30%.
Aleonysh [2.5K]

Answer:

$105

Step-by-step explanation:

30% of 150 is 45.

150-45 = 105

Hope that helps

5 0
2 years ago
Read 2 more answers
Limit as x approaches 0 of. (sin3xsin5x)/x^2
OLga [1]
The limit of the function <span>( sin3x sin5x ) / x^2 as x approaches zero is evaulated by substituting the function by zero. Since the answer is zero / zero which is indeterminate. Using L'hopitals rule, we derive separately the numerator and the denominator. we all know that sin 5x and sin 3x are equal to zero. Upon teh first derivative, the answer is still zero / zero. We derive further until the function has a denominator of 2 and a numerator still equal to zero. Since the answer is now zero/ 2 or zero not zero/zero, the limit then is equal to zero.</span>
4 0
2 years ago
The simplest form of the expression -2x2(x – 5) + x(2x2 – 10x) + x is
Bad White [126]
For this case you must simplify the expression respecting the rules of multiplication of mathematics.
 The steps to simplify the expression are the following:
 First multiply what is in the parentheses
  -2x ^ 2 (x - 5) + x (2x ^ 2 - 10x) + x
  -2x ^ 3 + 10x ^ 2 + 2x ^ 3 - 10x ^ 2 + x
 Then add the terms that have the same exponent
 (-2x ^ 3 + 2x ^ 3) + (10x ^ 2 - 10x ^ 2) + x
  x
 The final simplification is
 x
 answer
 x
4 0
3 years ago
Read 2 more answers
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