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Olin [163]
2 years ago
12

In the equation above k is a constant if y = 2 when x= 5 what is the value of x when y= 5

Mathematics
1 answer:
Tresset [83]2 years ago
6 0

The value f x when y= 5 is 2

<h3>Variations </h3>

Let the given equation be y = k/x

where k is the constant

if y = 2 when x= 5, then;

k = xy

k= 2(5)

k = 10

In order to determine the value of x when y = 5

x = k/y

x = 10/5

x = 2

Hence the value f x when y= 5 is 2

Learn more on variation here: brainly.com/question/6499629

#SPJ1

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The sum of three numbers is 11 The sum of twice the first number five times the second number and six times the third number is
Lunna [17]
<h3>Given</h3>

three numbers: a, b, c

a+b+c = 11

2a +5b +6c = 32

3a -b = 22

<h3>Find</h3>

a, b, c

<h3>Solution</h3>

The equations can be represented by the augmented matrix

\left[\begin{array}{ccc|c}1&1&1&11\\2&5&6&32\\3&-1&0&22\end{array}\right]

A graphing calculator gives the solution

(a, b, c) = (8, 2, 1)

The three numbers are 8, 2, and 1.

_____

If you want to solve this by hand, you could use Cramer's rule, or you could do the row operations by and. For example, subtract twice the first equation from the second to get

... 3b +4c = 10

Subtract 3 times the first equation from the third to get

... -4b -3c = -11

These two equations can be solved by your favorite method to find

... b = (-44 +30)/(-16 +9) = -14/-7 = 2 . . . . . using Cramer's rule

... c = (-40 +33)/-7 = 1

Then the first equation can be used to find <em>a</em>.

... a + 2 + 1 = 11

... a = 8 . . . . . . . . . . . as above

3 0
3 years ago
Michael deposited $1,500 into a savings account with a simple interest rate of 2%. How much money will he have in his account af
laiz [17]

Answer:

$1,620

Step-by-step explanation:

2% per year:

2% of 1,500 = 30

30 x 4 = 120

1500 + 120 = 1620

4 0
3 years ago
Any answers to 1/5 divided by 1/4
allsm [11]

1/5÷1/4

=1/5×4/1

=4/5

=0.8

7 0
3 years ago
Read 2 more answers
Which property is illustrated by the statement? ^2 (-6/7) = (-6/7)^2
Murljashka [212]
Communtive property of division
8 0
3 years ago
Help me please!!!
34kurt

Step-by-step explanation:

sin(2x) + cos(3x)

Use double angle formula sin(2x) = 2 sin x cos x.

Use triple angle formula cos(3x) = 4 cos³x − 3 cos x.

Substitute:

2 sin x cos x + 4 cos³x − 3 cos x

3 0
3 years ago
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