9514 1404 393
Answer:
2 nickels, 9 dimes
Step-by-step explanation:
When there are a number of overlapping shaded areas on the graph, I find it convenient to use the reverse of the inequalities. That makes the <em>unshaded</em> area the solution space. Here, the vertices of the triangular solution space are ...
(2, 9), (2, 13), (6, 9)
Any of the grid points within (or on) this triangle is a possible solution. One of them is (2, 9) corresponding to 2 nickels and 9 dimes.
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Three solutions are shown:
(x, y) = (2, 9), (3, 10), (4, 11)
We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4
6 + 4 = 10
6*4 = 24
So we can break up the 10ab into 6ab+4ab and then use factor by grouping
a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
(a^2+6ab) + (4ab+24b^2)
a(a+6b) + 4b(a+6b)
(a+4b)(a+6b)
Therefore, the original expression factors completely to (a+4b)(a+6b)
Answer:
Step-by-step explanation:
To get the value of the expressions in list A and list B we will substitute y = 5 in each expression.
List A List B
1). 6 + 6y = 6 + 6(5) = 36 6y - 6 = 6(5) - 6 = 24
2). 6(y - 1) = 6(5 - 1) = 24 6(y + 1) = 6(5 + 1) = 36
3). 6y + 1 = 6(5) + 1 = 31 1 + 6y = 1 + 6(5) = 31
Therefore, (6 + 6y) is equivalent to 6(y + 1)
6(y - 1) is equivalent to (6y - 6)
(6y + 1) is equivalent to (1 + 6y)
The correct answer is :
Just it....
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Step-by-step explanation:
k = √(49 - 12√5)
= √(45 + 4 - 2 √180)
= √45 - √4
= 3 √5 - 2.
<em>So, k + 2 = 3 √5 - 2 + 2 = 3 √5.</em>
