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Solnce55 [7]
3 years ago
5

The set of possible values of m is {5,7,9}. What is the set of possible values of k if 2k=m+3?

Mathematics
1 answer:
Paladinen [302]3 years ago
4 0
Just plug in the values for m

so the possible values for k are
when m=5
2k=5+3 \\ k=4
when m=7
2k=7+3 \\ 
k=5
when m=9
2k=9+3 \\ k=6
so the possible values for k are {4,5,6}
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Decompose x^2+4x-3/x-2​
mariarad [96]

Answer:

\dfrac{x^3-2x^2+4x-3}{x-2}

Step-by-step explanation:

The given equation is :

x^2+\dfrac{4x-3}{x-2}

We need to decompose this equation.

We have,

x^2+\dfrac{4x-3}{x-2}\\\\=\dfrac{x^2(x-2)+4x-3}{x-2}\\\\=\dfrac{x^3-2x^2+4x-3}{x-2}

So, \dfrac{x^3-2x^2+4x-3}{x-2} is the decomposed form of the given expression.

5 0
2 years ago
You start driving north for 9 miles, turn right, and drive east for another 40 miles. At the end of driving, what is your straig
Vsevolod [243]

The straight line distance from the starting point is 41 miles.

<u>Explanation:</u>

Given:

Distance covered towards north, n = 9 miles

Distance covered towards east, e = 40 miles

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If we imagine this, then the route forms a right angle triangle

where,

n is the height

e is the base

x is the hypotenuse

Using pythagoras theorm:

(x)² = (n)² + (e)²

(x)² = (9)² + (40)²

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5 0
2 years ago
2/3x+4=2x true or false
aleksley [76]

Answer: False !!!

do the math

5 0
3 years ago
Help please this my second time posting this please help
Nesterboy [21]

Answer:

x = √30

Step-by-step explanation:

From small triangle BDC:

using Pythagorean theorem

CB² = BD² + DC²

x² = BD² + 3²

Fron triangles BDC and ADB.

ΔBDC has long leg BD and short leg DC.

ΔADB has long leg AD and shirt leg BD.

AD : BD = BD : DC

7 : BD = BD : 3

7*3 = BD*BD

BD² = 7*3 = 21

x² =  BD² + 3² = 21+9 = 30

x² = 30

x = √30

4 0
3 years ago
The sugar company will choose from two companies to transport its sugar to market. The first company charges 5197 to rent trucks
Rudiy27
5197+175.75x=5500+150.50x
25.25x=303
X=12 (tons)
3 0
3 years ago
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