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zimovet [89]
2 years ago
13

The graph below is the graph of which inequality?

Mathematics
1 answer:
Misha Larkins [42]2 years ago
4 0

Answer:

D

Step-by-step explanation:

\sqrt{x }  \geqslant 1

on your graph x is not equal to 0 starting from one and going to Infinity.

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Marla swims twice a week. her equipment cost her $32.85 and she has a membership to the pool for $35 plus #3.50 per visit. she c
evablogger [386]
Around $634.85 per year

Because:

$32.85+$35(12 months)+$3.5(52 weeks in a year)= Total cost per year
                   $420                       $182

        $32.85 + $420 + $182 = $634.85 per year
3 0
3 years ago
Express into partial fractions 3x³ - 5x² - 3x - 40/( x² + 4)(x - 3)​
Fudgin [204]

First simplify the rational expression by dividing. The degree in the numerator has to be at least 1 less than the degree in the denominator before you can decompose into partial fractions.

(3<em>x</em>³ - 5<em>x</em>² - 3<em>x</em> - 40) / ((<em>x</em>² + 4) (<em>x</em> - 3)) = 3 + (4<em>x</em>² - 15<em>x</em> - 4) / ((<em>x</em>² + 4) (<em>x</em> - 3))

Now decompose the remainder term into partial fractions:

(4<em>x</em>² - 15<em>x</em> - 4) / ((<em>x</em>² + 4) (<em>x</em> - 3)) = (<em>ax</em> + <em>b</em>) / (<em>x</em>² + 4) + <em>c</em> / (<em>x</em> - 3)

Multiply both sides by the denominator on the left:

4<em>x</em>² - 15<em>x</em> - 4 = (<em>ax</em> + <em>b</em>) (<em>x</em> - 3) + <em>c</em> (<em>x</em>² + 4)

Expand the right side:

4<em>x</em>² - 15<em>x</em> - 4 = <em>ax</em>² + (<em>b</em> - 3<em>a</em>) <em>x</em> - 3<em>b</em> + <em>cx</em>² + 4<em>c</em>

4<em>x</em>² - 15<em>x</em> - 4 = (<em>a</em> + <em>c</em>) <em>x</em>² + (<em>b</em> - 3<em>a</em>) <em>x</em> - 3<em>b</em> + 4<em>c</em>

Then

<em>a</em> + <em>c</em> = 4

<em>b</em> - 3<em>a</em> = -15

-3<em>b</em> + 4<em>c</em> = -4

Solve this system to get

<em>a</em> = 5, <em>b</em> = 0, <em>c</em> = -1

We end up with

(4<em>x</em>² - 15<em>x</em> - 4) / ((<em>x</em>² + 4) (<em>x</em> - 3)) = 5<em>x</em> / (<em>x</em>² + 4) - 1 / (<em>x</em> - 3)

and so

(3<em>x</em>³ - 5<em>x</em>² - 3<em>x</em> - 40) / ((<em>x</em>² + 4) (<em>x</em> - 3))

= 3 + 5<em>x</em> / (<em>x</em>² + 4) - 1 / (<em>x</em> - 3)

8 0
2 years ago
In a first -aid kit the ratio of large bandages is 3 to 2. Based on this ratio, how many large bandages are in the kit if there
11Alexandr11 [23.1K]

Answer:

  48

Step-by-step explanation:

The total number of ratio units is 3+2 = 5, and the 3 ratio units representing large bandages make up 3/5 of that total. Thus, large bandages will make up 3/5 of the total number of bandages:

  3/5×80 = 48 . . . . number of large bandages in the kit

7 0
3 years ago
The product of two rational numbers is 9⁄7 and one of them is 15⁄14. Then the other rational number is​
Rasek [7]

Answer:

The other rational number in the operation given is:

  • <u>6/5</u>

Step-by-step explanation:

To obtain the number in the operation given, we're gonna represent the operation:

  • r * 15/14 = 9/7

Where:

  • r = the other rational number.

Now we are going to solve r to identify its value in numbers:

  • r * 15/14 = 9/7
  • r = \frac{\frac{9}{7} }{\frac{15}{14}} (We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)
  • r = \frac{6}{5}

As you can see, when we operate, <u>the result is 6/5</u>, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:

  • r * 15/14 = 9/7
  • 6/5 * 15/14 = 9/7
  • 9/7 = 9/7

In this form, we know the result is correct.

8 0
3 years ago
BRAINLY FOR CORRECT ANSWER! YOU MUST GIVE ME AN ANSWER NOT AN EQUATION.
Nadusha1986 [10]

The answer is 310.93, rounded to the nearest hundredth. Hope this helps!

5 0
2 years ago
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