Factor the expression into an equivalent form. 12y^2-75

Mathematics

1 answer:

ASHA 777 [7]3 years ago

7 0

Answer:

3rd option

Step-by-step explanation:

You first notice that 12 and 75 are multiples of 3. Your expression becomes

$3(4y^2-25)$ . At this point you should recognize it's $(2y)^2$ and $5^2$ . The second term gets factored as a difference of squares: $3(2y+5)(2y-5)$

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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

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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'.

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

where,

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 $^4C_1$ .