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iren [92.7K]
3 years ago
11

What number is 0.6% of 500?

Mathematics
2 answers:
Lynna [10]3 years ago
7 0
I believe the answer is 300.
kherson [118]3 years ago
7 0
To find .6% you would multiply 500 and 0.6% together. 0.6% becomes 0.006 and so it is .006*500 which is 3
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Identify the horizontal asymptote of f(x) = quantity 2 x minus 1 over quantity x squared minus 7 x plus 3.
Rina8888 [55]
We must recall that a horizontal asymptote is the value/s of y that the given function approaches to but never reaches. To find this in a rational function, we compare the expressions with highest degree in the numerator and denominator. There are three possible outcome when this happens.

1. if the highest degree (highest exponent) in the numerator is bigger than that of the denominator, then there won't be any horizontal asymptote.

2. if the highest degree in the denominator is bigger, then the horizontal symptote would be y = 0.

3. if they have the same highest degree, then we just get the quotient of their coefficient. 

Now, going back to our function, we have

f(x) = \frac{2x - 1}{x^{2} - 7x + 3}

From this we can see that the highest degree in the numerator is 1 (from 2x) and 2 (from x²) for the denominator. Clearly, it shows that its denominator has a higher degree. And from our discussion, we can conclude that the horizontal asymptote would be y = 0.

Answer: y = 0
3 0
4 years ago
Find an equation for the line below.<br><br><br> will give brainiest
pogonyaev

Answer: y=-\frac{x}{2}-6.5

Step-by-step explanation:

First find slope m. From observing the equation we can see that there are two points on the line. They are (-5,-4) and (-1,-6). Using the formula to find slope rise/run we get m = -0.5.

Now we use the point-slope formula to start the switch to the slope-intercept formula. Using (-1,-6) as our x and y values and switching m=-0.5 we get y + 6 = -0.5 ( x + 1). Simplify and we get y + 6 = -x/2 - -0.5. Subtract 6 from both sides and the final equation is y = -x/2 - 6.5.

8 0
3 years ago
Point p(a,b) is in the first quadrant on the graph of the line x+y=4. A triangular region is shown on the diagram. What is the m
Gala2k [10]

Answer:

The maximum area of the triangular region is 2 square units

Step-by-step explanation:

we know that

The area of the triangular region is equal to

A=\frac{1}{2}(x)(y) -----> equation A

where

x is the x-coordinate of point P

y is the y-coordinate of point P

we have

The equation of the graph of the line is

x+y=4

y=-x+4 -----> equation B

substitute equation B in equation A

A=\frac{1}{2}(x)(-x+4)

A=-\frac{1}{2}x^2+2x

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The y-coordinate of the vertex represent the maximum area of the triangular region

Find the vertex

Convert the quadratic equation in vertex form

Factor -1/2

A=-\frac{1}{2}(x^2-4x)

Complete the square

A=-\frac{1}{2}(x^2-4x+4)+2

Rewrite as perfect squares

A=-\frac{1}{2}(x-2)^2+2

The vertex is the point (2,2)

so

The maximum area is the y-coordinate of the vertex

The maximum area of the triangular region is 2 square units

Find the coordinates of point P for the maximum area

x=2 (x-coordinate of the vertex)

Find the y-coordinate of point P

substitute in equation B

y=-2+4=2

The coordinates of point P for the maximum area is P(2,2)

3 0
4 years ago
1. Write an equation in point slope form for the line that has a slope of 6 and contains the point (-8,-7).
antiseptic1488 [7]
1.    y - y₁ = m(x - x₁)
     y - (-7) = 6(x - (-8))
       y + 7 = 6(x + 8)
       y + 7 = 6(x) + 6(8)
       y + 7 = 6x + 48
       <u>   - 7          -   7</u>
             y = 6x + 41

2. <u>y₂ - y₁</u> = <u>-8 - (-3)</u> = <u>-8</u><u> + 3</u> = <u>-5</u> = -1²/₃
    x₂ - x₁    -1 - (-4)    -1 + 4      3

3. 2x -  3y = 11
    <u>3x + 3y =   9</u>
            <u>5x</u> = <u>20</u>
             5      5
              x = 4
     2x - 3y = 11
   2(4) - 3y = 11
       8 - 3y = 11
     <u>- 8          - 8</u>
           <u>-3y</u> = <u>3</u>
            -3    -3
              y = -1
        (x, y) = (4, -1)

4. 2x - 5y = -7  ⇒   -6x + 15y =  21
    5x - 3y = 11 ⇒ <u>-25x + 15y = -55</u>
                                        <u>19x</u> = <u>76</u>
                                         19     19
                                            x = 4
                                   2x - 5y = -7
                                 2(4) - 5y = -7
                                     8 - 5y = -7
                                   <u>- 8          - 8</u>
                                         <u>-5y</u> = <u>-15</u>
                                          -5      -5
                                            y = 3
                                      (x, y) = (4, 3)

5. 4.9 × 10¹¹, 8.9 × 10¹⁸, 1.3 × 10⁸, 6.7 × 10⁸, 2.7 × 10⁸
    <u>1.3 × 10³</u>, 2.7 × 10⁸, 6.7 × 10⁸, 4.9 × 10¹¹, <u>8.9 × 10¹⁸</u>
      Least                                                         Greatest
4 0
3 years ago
3 ⅕ -⅔ divided by 2 ⅘
spin [16.1K]

Answer:

160/196

Step-by-step explanation:

it would be easier if you converted all fractions to improper fractions

so 3 1/5 would equal 16/5 and 2 4/5 would equal to 14/5

\frac{14}{5} - \frac{2}{3} : to solve this you would need the same common denomenator,

to do this you can multiply 5 and 3 by something to make the lowest common denominator, which would be 15

thus

multiplying first fraction by 3 and the second by 5

42/15 - 10/15 = 32/15

now 32/15 divided by 14/5

the rule for dividing fractions, is flipping the fraction which you will be using to divide, and then multiplying it to the first fraction:

\frac{32}{14} multiplied by \frac{5}{14}

thus, answer is 160/196

8 0
3 years ago
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