Hey there! How are you today?
First, when dealing with the Distributive Property, we always need to pay attention to what number/variable we are multiplying by.
The concept of the Distributive Property is to look at the number/variable outside of the parenthesis and then multiply it by all numbers/variables inside of the parenthesis individually, and then sum those products up.
If you're having trouble grasping this concept, here's an example:
Ex:
2(1 + 3)
Multiply the number outside of the parenthesis (2) by all numbers inside of the parenthesis (1 and 3) individually.
2*(1) + 2*(3)
Simplify the multiplication process.
2 + 6
Sum up our products.
8.
8 is our answer for this example.
Now that we've explained and practiced what we are working on, let's apply this concept to the real problem.
7(2x^2 + 9x - 3)
Multiply the number outside of the parenthesis (7) by all numbers/variables inside of the parenthesis (2x^2, 9x, and -3).
7(2x^2) + 7(9x) + 7(-3)
Simplify the first multiplication parenthesis.
7*2x^2 = 14x^2
Simplify the second multiplication parenthesis.
7*9x = 21x
Simplify the third and final multiplication parenthesis.
7*(-3) = -21 (When you multiply a positive by a negative, your product is negative).
Now, let's write down our final products as a whole answer. Remember to start from the highest exponent.
14x^2 + 21x - 21 is your final expression.
I hope this helps! Let me know if you have any questions or concerns down in the comment box below this answer, and I'll get back to you when I can.
<span>The opposite of a number. For example, the additive inverse of 12 is –12. The additive inverse of –3 is 3. Formally, the additive inverse of x is –x. Note: The sum of a number and its additive inverse is 0. Hope i helped :)</span>
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&= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} S = square numbers E = even numbers Complete the Venn diagram. E, S 4 2,6 8, 10,
Umnica [9.8K]
The remaining elements if Venn diagram is S= { 4, 9}
<h3>What is Venn diagram?</h3>
A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items.
Given:
E = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 }
S = square numbers
E = even numbers
Element in set S= { 4, 9}
Learn more about Venn diagram here:
brainly.com/question/1605100
#SPJ1
Answer:
x = 10
Step-by-step explanation:
Assuming you mean (1/4)(4x - 24), we simplify this to obtain:
x - 6 + x = 14
Combining like terms, we get:
2x = 20. Then x = 20/2, or x = 10
0.326 is in number (numerical) form. 0.326 written in word form is like:-
<span>three hundred twenty-six thousandths.
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0.326 in expanded form can be written like this:-
.3 + .02 + .006 = 0.326
So, 0.326 written in word form is three hundred twenty-six thousandths.
Hope I helped ya!!