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3 years ago

Given the equation 6/x=3/k+2, and the constraints x ≠ 0 and k ≠-2, what is x in terms of k?

Mathematics

1 answer:

Veronika [31]3 years ago

7 0

Answer:

A) 2k+4

Step-by-step explanation:

To solve for terms of x, we need to. she sure that x is on its own side while every other term is on the other side.

To start, we will cross multiply. If we have a/b=c/d, then ad=bc

We can perform the same calculation here,

6/x=3/(k+2)

6(k+2)=3x

Divide both sides by 3

2(k+2)=x

x=2k+4

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S 8. a ES a) There are 40 students in a class and 16 of them are girls. (i) Find the ratio of the girls and the total number of

umka21 [38]

Answer:

The ratio for the boys is 24:40 and the girls is 16:40 so the girls and boys is 16:24

Step-by-step explanation:

7 0

2 years ago

In Example 3, the airplane leaves from Fort Lauderdale. The interior angle measure at Bermuda is 63.9°. The interior angle measu

Tju [1.3M]

Based on the interior angle measure at Bermuda, the interior angle measure at San Juan, the value of y can be found to be 61.8°

<h3>What is the value of y?</h3>

The interior angle measures at Bermuda, San Juan, and Fort Lauderdale take the shape of a triangle so they will add up to the total interior triangle measure of 180°.

y is also the angle at For Lauderdale so the value of y is:

y + (y - 7.5) + 63.9 = 180°

Solving gives:

y + y - 7.5 + 63.9 = 180

2y = 180 - 63.9 + 7.5

2y = 123.6

y = 123.6/2

= 61.8°

Find out more on interior angles at brainly.com/question/24966296

#SPJ1

4 0

1 year ago

Find the area of the region enclosed by f(x) and the x axis for the given function over the specified u reevaluate f(x)=x^2+3x+4

lord [1]

Answer:

A = 68 unit^2

Step-by-step explanation:

Given:-

The piece-wise function f(x) is defined over an interval as follows:

f(x) = { x^2+3x+4 , x < 3

f(x) = { x^2+3x+4 , x≥3

Domain : [ -3 , 4 ]

Find:-

Find the area of the region enclosed by f(x) and the x axis

Solution:-

- The best way to tackle problems relating to piece-wise functions is to solve for each part individually and then combine the results.

- The first portion of function is valid over the interval [ -3 , 3 ]:

$f(x) = x^2+3x+4$

- The area "A1" bounded by f(x) is given as:

$A1 = \int\limits^a_b {f(x)} \, dx$

Where, The interval of the function { -3 , 3 ] = [ a , b ]:

$A1 = \int\limits^a_b {x^2+3x+4} \, dx\\\\A1 = \frac{x^3}{3} + \frac{3x^2}{2} + 4x |\limits_-_3^3 \\\\A1 = \frac{3^3}{3} + \frac{3*3^2}{2} + 4*3 - \frac{-3^3}{3} - \frac{3(-3)^2}{2} - 4(-3)\\\\A1 = 9 + 13.5 +12 + 9-13.5+12\\\\A1 =42 unit^2$

- Similarly for the other portion of piece-wise function covering the interval [3 , 4] :

$f(x) = 4x+10$

- The area "A2" bounded by f(x) is given as:

$A2 = \int\limits^a_b {f(x)} \, dx$

Where, The interval of the function { 3 , 4 ] = [ a , b ]:

$A2 = \int\limits^a_b {4x+10} \, dx\\\\A2 = 2x^2 + 10x |\limits_3^4 \\\\A2 = 2*(4)^2 + 10*4 - 2*(3)^2 - 10*3\\\\A2 = 32 + 40 - 18-30\\\\A2 =26 unit^2$

- The total area "A" bounded by the piece-wise function over the entire domain [ -3 , 4 ] is given:

A = A1 + A2

A = 42 + 26

A = 68 unit^2

8 0

3 years ago

If 3 times a number is equal to 3/2, what is the number?

Mamont248 [21]

$3x=\dfrac{3}{2}|:3\\
x=\dfrac{1}{2}
$

7 0

3 years ago

Read 2 more answers

I divided 575 by 14 using partial quotients. what is the quotient?

sineoko [7]

Partial quotient is an easy step by step method where partial answer is obtained in each step.

Here the divisor is 14. So, let's multiply 14 with 10.

Hence, 14*10=140

Given dividend= 575.

Now subtract 140 from 575.

1)So, 575- 140 = 435

Notice 140 further goes from 435. Let's subtract another 140 from 435 and we can keep repeating this method till it won't further goes.

2)435-140=295

3)295-140=155

4)155-140= 15

Now 140 cannot taken out from 15. But we can take out simply 14 from 15.

5)Hence, 15-14 =1

So, the partial quotient is 10+10+10+10+1= 41.

So, the quotient is 41.

3 0

3 years ago