The difference of the square of a number and 18 is equal to 3 times that number. Find the positive solution.

Mathematics

2 answers:

taurus [48]3 years ago

4 0

Ilya [14]3 years ago

3 0

Answer: x=6 or x=-3

Step-by-step explanation:

x^2-18=3x

x^2-3x-18=0

(x-6)*(x+3)=0

x-6=0 x+3=0

x=6 x=-3

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John is making baked goods for a party. He can either make muffins or bread, and he can use blueberries, bananas, apples, or cho

Margarita [4]

The total number of possible choices that John had for making baked goods for the party is 8.

<h3>What is Combination?</h3>

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

$^nC_r = \dfrac{n!}{r!(n-r)!}$

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n is the number of choices available,

r is the choices to be made.

We know that the number of choices with John for his baked goods is only two which are muffins or bread, therefore, the choices of the baked good can be written as $^2C_1$ .

Also, the number of choices with John for flavors is four which are blueberries, bananas, apples, or chocolate chips, therefore, the choices of the flavor can be written as $^4C_1$ .