Answer:
The fourth line will have 15 marbles
Step-by-step explanation:
The third line has 7 marbles. So, you double that and add one in order to find the number of marbles in the fourth line.
7*2=14
14+1=15
Answer: 28-6x
This is the same as -6x+28
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To get that answer, you multiply each term inside the parenthesis by the outer term 2
14 * 2 = 28
-3x * 2 = -6x
So,
(14-3x)*2 = 14*2 - 3x*2 = 28-6x
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The distribution rule says
a(b-c) = ab-ac
which is the same as saying
(b-c)a = ba-ca
We can flip things around because we can multiply in any order.
B is the correct answer.
We are adding the border of x thickness to all 4 sides of the table. This makes the new width of the table 36+x+x = 36+2x and the new length of the table 72+x+x=72+2x. To find the area, we multiply the length and width:
(36+2x)(72+2x) = 3006
Multiplying the binomials, we get:
36*72 + 36*2x + 2x*72 + 2x*2x = 3006
2592 + 72x + 144x + 4x² = 3006
Combining like terms gets us
2592 + 216x + 4x² = 3006
Subtract 3006 from both sides:
2592 + 216x + 4x² - 3006 = 3006 - 3006
-414 + 216x + 4x² = 0
Writing in standard form we have
4x²+216x-414=0
Answer :
Positive
(Unless there is any information or problem on there)
