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givi [52]
3 years ago
8

The sum of three numbers is 21. Three times the smallest is 3 less than the largest, while the sum of the largest and smallest i

s 15. Use linear system in three variable to find the three numbers

Mathematics
2 answers:
Lynna [10]3 years ago
7 0
3, 6, 12
I guessed and checked. So if 3 is the smallest number, I would, multiply it by 3, which is 9. 9 is 3 less than the largest number which would be 12. 12 + 3 is 15. To find the third number, subtract 21 and 15 which is 6
nordsb [41]3 years ago
3 0
One of the numbers is 6.
The other is 12.
The last is 3.

Difficult, but not impossible!
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F(x)=9(x-8) find f^-1(x)
mina [271]

Answer:

f^{-1}(x) = \frac{1}{9} x + 8

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 9(x - 8) ← divide both sides by 9

\frac{y}{9} = x - 8 ( add 8 to both sides )

\frac{y}{9} + 8 = x

Change y back into terms of x with x = f^{-1}(x) , thus

f^{-1}(x) = \frac{1}{9} x + 8

8 0
3 years ago
2x − 5y = 16 <br>3x + 2y = 5 <br>can you also explain how you did it. Thanks :)
Reptile [31]

Answer:

x=3

y=-2

Step-by-step explanation:

2x - 5y = 16

3x + 2y = 5

Solve for x in the first equation.

2x - 5y = 16

2x = 16 + 5y

x = (16 + 5y)/2

x = 8 + 5/2y

Put x as 8 + 5/2y in the second equation and solve for y.

3(8+5/2y) + 2y = 5

24+15/2y + 2y = 5

24 + 19/2y = 5

19/2y = 5-24

19/2y = -19

y = -2

Put y as -2 in the first equation and solve for x.

2x - 5(-2) = 16

2x +10 = 16

2x = 16-10

2x = 6

x = 3

6 0
3 years ago
Read 2 more answers
Simplify (4x+5y)(2x-3y)+3xy<br><br> Help
amid [387]

Answer:

8x² - 15y² + xy

Step-by-step explanation:

(4x + 5y) (2x - 3y) + 3xy

multiplying the terms in brackets

(4x) (2x - 3y) + (5y) (2x - 3y) + 3 xy

multiplying with each terms inside the bracket

(4x)(2x) - (4x) (3y) + (5y) (2x) - (5y) (3y) + 3xy

doing the product each of the pair of terms

8x² - 12xy + 10xy - 15y² + 3xy

taking the sum of terms with coefficient "xy"

8x² - 15y² -2xy + 3xy

8x² - 15y² + xy


3 0
3 years ago
Mallory's mom gave her $25.00 to buy school supplies. Mallory needs to buy 5 notebooks and some mechanical pencils. If each note
Soloha48 [4]

Answer:

Mallory can buy 16 notebooks

Step-by-step explanation:

You divide 25.00 by 1.50 which is 16.6 repeating. so, she can only buy 16 notebooks

5 0
3 years ago
Read 2 more answers
According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 –
SVETLANKA909090 [29]

We have to identify the function which has the same set of potential rational roots as the function g(x)= 3x^5-2x^4+9x^3-x^2+12.

Firstly, we will find the rational roots of the given function.

Let 'p' be the factors of 12

So, p= \pm 1, \pm 2, \pm 3, \pm 4, \pm 6

Let 'q' be the factors of 3

So, q=\pm 1, \pm 3

So, the rational roots are given by \frac{p}{q} which are as:

\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{4}{3}.

Consider the first function given in part A.

f(x) = 3x^5-2x^4-9x^3+x^2-12

Here also, Let 'p' be the factors of 12

So, p= \pm 1, \pm 2, \pm 3, \pm 4, \pm 6

Let 'q' be the factors of 3

So, q=\pm 1, \pm 3

So, the rational roots are given by \frac{p}{q} which are as:

\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{4}{3}.

Therefore, this equation has same rational roots of the given function.

Option A is the correct answer.

4 0
3 years ago
Read 2 more answers
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