Answer:
The expression is equivalent , but is not completely factored
Step-by-step explanation:
A student factors 3x² – 12 to the following. 3(x² – 4)
3x² – 12 is equivalent to 3(x² – 4), because 3 was factored out;
If we multiply by 3 by opening the brackets then we get the same expression 3x² – 12.
However; <em>3(x² – 4), could be factored further;</em>
<em>To get; 3(x + 2)(x - 2) ; since x² – 4 is a difference of two squares;</em>
<em>Therefore;</em>
<em>3x² – 12 = 3(x² – 4) = 3(x + 2)(x - 2)</em>
Answer: 1⅓ batch of cookies
Step-by-step explanation:
From the question, we are given the information that a cook has 4 cups of raisins to make oatmeal cookies and that the recipe requires 3 cup of raisins for each batch of cookies.
Therefore, the number of batches of cookies that the cook can make will be the number of cups of rasins that the cook has divided by the number of reasons needed for each cookie. This will then be:
= 4/3
= 1⅓ batch of cookies
Answer:
3/4
Step-by-step explanation:
Note that the whole number 3 = 3/1
Multiply across:
3/1 x 1/4 = (3 x 1)/(1 x 4) = (3)/(4)
3/4 is your answer.
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Answer:
Santa can leave 15 toys at their house.
Step-by-step explanation:
