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DanielleElmas [232]
2 years ago
13

Given h of x equals negative 2 times the square root of x minus 3 end root, which of the following statements describes h(x)?

Mathematics
1 answer:
MrMuchimi2 years ago
3 0

Answer:

The function h(x) is decreasing on the interval (3, ∞).

Step-by-step explanation:

Please take a look at the attached image.

You will see a graph of the given function h(x) = -2\sqrt{x-3}. The function is decreasing.

The function starts at 3 and starts to go towards negative infinity on the x-axis. Therefore the function is decreasing on the interval (3, ∞).

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N is an integer with -5 &lt; 2n &lt;6<br> write down all the values of n?
Alika [10]

Answer:

The values of n are less than 3 and more than (-5/2)

Step-by-step explanation:

The given inequality is :

-5 < 2n <6

We need to write the values of n.

Dividing both sides of the inequality by 2. So,

\dfrac{ -5}{2} < \dfrac{2n}{2}

So, the values of n are less than 3 and more than (-5/2).

7 0
3 years ago
What are the necessary criteria for a line to be perpendicular to the given line and have the same y-intercept?
svetlana [45]
Y=-(3/5)x-7is the anwser because this is the form y=mx+b where m=5/3 any line perpendicular to this given line will have the slope of -1/m so, in this case slope of perpendicular is: -1/(5/3) = -3/5 we know the y-intercept is -7, point (0, -7) so wave: <span>y = -(3/5)x - 7</span>
6 0
4 years ago
Read 2 more answers
How do you write 0.045 as a reduced fraction
Anvisha [2.4K]
0.045 = 45/1000

Divide top and bottom by their greatest common factor.
It looks to me as though the greatest common factor of  45  and  1,000  is  5 .
Divide top and bottom by  5  and we have  <u>9/200</u> .  That's the simplest form.
6 0
3 years ago
Read 2 more answers
Which shows the correct substitution of the values ab and c from the equation 0 = - 3x ^ 2 - 2x + 6 into the quadrati formula?
scZoUnD [109]

The answer would look something like this:

\frac{2+-\sqrt{2^{2}-4(-3)(6) }}{2(-3)}

There could also have a simplified version.

I hope this helps.

7 0
4 years ago
for any positive integer n, the sum of the first n positive integers equals n(n 1)/2. what is the sum of all the even integers b
marusya05 [52]

The sum of all the even integers between 99 and 301 is 20200

To find the sum of even integers between 99 and 301, we will use the arithmetic progressions(AP). The even numbers can be considered as an AP with common difference 2.

In this case, the first even integer will be 100 and the last even integer will be 300.

nth term of the AP = first term + (n-1) x common difference

               ⇒    300 = 100 + (n-1) x 2

Therefore, n = (200 + 2 )/2 = 101

That is, there are 101 even integers between 99 and 301.

Sum of the 'n' terms in an AP = n/2 ( first term + last term)

                                                = 101/2 (300+100)

                                                = 20200

Thus sum of all the even integers between 99 and 301 = 20200

Learn more about arithmetic progressions at brainly.com/question/24592110

#SPJ4        

7 0
1 year ago
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